two cars travel in the same direction along a straight highway

min (b) How far must the faster car travel before it has a 15-min lead on the slower car? Answer in units of min. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. A car is driving at a speed of 53.0 km/h toward an intersection just as the light changes from green to yellow. {/eq}. (b) Find the total distance the object travels during the fall. From time t = 12 s, the velocity of each car remains constant at its value at t = 12 s. Determine the time t at which car Q passes car P. t = . s. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! Car A is traveling with a speed of 60 km/hr and has an acceleration of 40 km/h/min. The gliders collide and stick together. An 1100 kg car is traveling at 25 m/s when it hits a 1300 kg parked car. A car traveling at at a constant 48.0m/s passes a police car that is parked on the side of the road. If the floor is hardwood, the childs head is brought to rest in approximately 2.0 mm. Edited and formatted the question, renamed the topic. Assuming they start at the same point, how much sooner does the. What is the rate of the faster truck? The two cars are traveling in directions that are at right angle. What distance $d$ is it from the helicopter in terms of $g$ and $t ?$ (c) What are the answers to parts (a) and (b) if the helicopter is rising steadily at the same speed? What minimum acceleration of car B is required to avoid an accident? If the acceleration is constant, how much time elapses while the auto moves the 180 ft? in km? {/eq}, and time {eq}t a. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 16.4 km/h. b. do the two cars have the same velocity? V A baseball is hit so that it travels straight upward after being struck by the bat. (a) What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 240. m? (b) How far must the faster car travel before it has a 15-min lead on the slower car? A car travels 51.21 miles in 2.74 hours. State and explain whether car Q exceeds, acceleration = . m s2, acceleration = gradient or v / ()t or (v u) / t, e.g. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 8 mi away? 1. Q: ) A car and truck start from . What was the c, The graph represents the motion of two vehicles: A and B. a) What is the acceleration of vehicle A during the first 5.0 s? A student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.00 m above. (A human can stand an acceleration of 15$g$ for a short time. During the arduous trip they leap vertically upward over waterfalls as high as 3.6 m. With what minimum speed must a salmon launch itself into the air to clear a 3.6 - m waterfall? 9. What is the acceleration of the car when vx = 12.3 m. A car accelerates from rest to 30 km/h. Expl. The police car instantly starts a constant acceleration to catch the speeding car. What distance does the car travel during this process? Obtain this result by first writing expressions for the times taken by the hare and the tortoise to finish the race, and then noticing that to win, $t_{\text { tortoise }}stream The car goes once around the track in 420 s. What is the magnitude of the centripetal acceleration of the car? Two cars travel in the same direction along a straight highway, one at a constant speed of. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. (b) Assuming the acceleration is constant, find the distance the plane moves. Q: As soon as a traffic light turns green, a car speeds up from rest to 50.00 mi/h with constant. (b) How long does it take to reach its highest point? If a car moves with a constant velocity, does it also move with a constant speed? Relative speed is 10 mph, to cover 18 miles it would take a bit less than 2 hours, Only option A is less than 2 hours, hence is the correct answer. The kinematic equations can describe phenomena other than motion through space and time. Several practice questions in Kinematics -- Average speed, projectile motion, distance covered, Buoyant force acting on an inverted glass in water, Newton's Laws of motion -- Bicyclist pedaling up a slope, Which statement is true? It accelerates at 4.6 m/s^2 for 7.2 s, coasts for 1.9 s, and then slows down at a rate of 2.5 m/s^2 for the next stop sign. The lighter car is traveling west to east and the heavier car is going south to north. It stops at t = _____. (b) How far must the faster car travel before it has a 15 minute lead on the slower car? "@7Xb Xf/[@A }e`m)F^0 V!c All rights reserved. Two cars travel in the same direction along a straight highway, one at a constant speed of \( 55 \mathrm{mi} / \mathrm{h} \) and the other at \( 60 \mathrm{mi} / \mathrm{h} \). It would seem to make sense to say that speeding up from 0 km/h to 30 km/h would take just as much energy as speeding up from 30 km/h. On the same graph, plot position versus time for the car and the trooper. The expert examines two cars traveling in the same direction along a straight highway. rK|_?tp~ DCtiH8,2.vvf$B2RNS" 0:-t"Id9"'H)FhP%u(ExxtxA`e) a) What is the speed of the three joined car. ). Express the answer in terms of an angle (in degrees) and a distance. During the first 18 minutes of a 1.0 hour trip, a car has an average speed of 11 m/s. Unfortunately, management worsens over time so that $a=-2.5 \times 10^{2} \$ /$ month $^{2}$ . A person standing on the ground observes a bird flying due west at a speed of 4.90 m/s. (a) Determine the cheetahs average acceleration during the short sprint, and (b) find its displacement at t 5 3.5 s. En athlete swims the length $L$ of a pool in a time $t_{1}$ and makes the return trip to the starting position in a time $t_{2} .$ If she is swimming initially in the positive x - direction, determine her average velocities symbolically in (a) the first half of the swim, (b) the second half of the swim, and (c) theround trip. A highspeed camera records this event. Is velocity constant in these situations? 1.) (c) How long after liftoff does the rocket reach its maximum height? b. A car starts from rest at a stop sign. Solve for ds dt. Is acceleration constant in these situations? Q&A with Associate Dean and Alumni, https://gmatclub.com/forum/ps-same-dist l#p2127282. Carriage 1 turns left at a constant speed v_1 = - 6 m/s and carriage 2 moves to the right at a fixed speed v_2 = 10 m/s. A speedboat increases its speed uniformly from $v_{i}=20.0$ ${m} / {s}$ to $v_{f}=30.0 {m} / {s}$ in a distance of $2.00 \times 10^{2} {m} .$ (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors. In a test run, a certain car accelerates uniformly from zero to 24.0 m/s in 2.95 s. (a) What is the magnitude of the cars acceleration? What is the average speed of the car for the entire two-part trip? Understand how to calculate velocity and speed using the formulas. Assume that it takes 5.0 seconds to decelerate. Solve for t2. When the light turns green at t = 0.0 s, the car speeds up at a constant rate for 6.0 s until it reaches a speed of 20.0 m/s. 4 s 3. Two cars approach an intersection. If he accelerates uniformly at 4.0 ${m} / {s}^{2}$ (a) how long does it take him to catch his opponent, and (b) how far has he traveled in that time? 1 = 80 / (54 + x) 54 + x = 80. x = 80 - 54. x = 26. If yes, determine how far into the tunnel and at what time the collision occurs. Car B has a speed of 40 km/hr and has an acceleration of 60 km/hr/min. Determine the displacement of the car during this stop. c. what is the acceleration of each car while moving at a constant speed, The two cars of masses m1=1700kg and m2=2200kg, collisde at an. A body is said to have a certain speed if it covers a particular distance within a certain time. If the car decelerated at the rate of 3.1 m/s2, what was the initial speed of the car, in m/s? Two cars are traveling on a highway in the same direction. The cars collide and become entangled. Acceleration would give the rate at which v changes. How far apart are; Two cars travel in the same direction along a straight highway, on at a constant speed of 38.0 mi/h and the other at 89.0 mi/h. Expert's answer Download Answer Need a fast expert's response? What is the rate of the slower truck? (b) For the given information, what single equation is most appropriate for finding the acceleration? A vehicle enters a deceleration lane off the highway, at 95.0 km an hour. (c) What is the tota, A railroad car with a mass of 2.05x10^4kg moving at 3.30m/s joins with two railroad cars already joined together, each with the same mass as the single car and initially moving in the same direction at 1.38m/s. YouTube, Instagram Live, & Chats This Week! Incorrect Textbook Answer involving kinematics? (c) If its original velocity is 26.00 m/s, what is its displacement during this interval? . $\begingroup$ Suppose for a second that they each did travel 810km, where would they each end up? She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. At a certain instant, when the distance AB is equal to AC, both being 1 km, B decides to overtake A before C does. (e) Find the time it takes the boat to travel the given distance. A car starts from rest at a stop sign. The faster truck is going 2mph faster than the slower truck. A car starts from the origin and is driven 1.99 km south, then 7.72 km in a direction 46 degrees north of east. (Velocity and Acceleration of a Tennis Ball). iPad. The relationship between constant speed {eq}s b. (b) We may set the distance that the cars need to travel as {eq}d A race car starts from rest and travels east along a straight and level track. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 60 mi/h. She stops for a minute and jogs back along the same path in 9 minutes. A train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting in an acceleration of 21.0 ${m} / {s}^{2}$ as long as the train is in motion. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 8 mi away? (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? From your starting point to your destination, your overall average velocity is 1.37 m/s due west. The coefficient of friction between rubber and wet asphalt is 0.5. How far must the faster car travel before it has a 15-min lead on the slower car? Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70.0 mi/h. (a) How long does it take the boat to reach the buoy? A car travels at a constant speed around a circular track whose radius is 2.8 km. After how many seconds are they moving with the same velocity? 2003-2023 Chegg Inc. All rights reserved. b. d = 38(14/60) = 8.9 mi. A car accelerates uniformly from rest to a speed of 40.0 mi/h in 12.0 s. Find (a) the distance the car travels during this time and (b) the constant acceleration of the car. (a) Determine the average speed for the trip. The driver of the car instantaneously steps on the gas and accelerates at 8.0 ft/s^2 and catches the truck in 0.200 mi (1056 ft). min (b) How far must the faster car travel before it has a 15-min lead on the slower car? {/eq} covered by an object, the time {eq}t Suppose a person begins with ten thousand dollars in the bank. V A particle starts from rest and accelerates as shown in Figure P2.20. Homework Statement Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70.0 mi/h. At the end of 3 hours, they are 300 miles apart. If car A [ #permalink ] Sat Feb 23, 2019 10:28 pm. 32 s 5. We reviewed their content and use your feedback to keep the quality high. %%EOF (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 10 mi away? I came up with the answer -3.75mi.. 2023 Physics Forums, All Rights Reserved, Buoyant force acting on an inverted glass in water, Newton's Laws of motion -- Bicyclist pedaling up a slope, Which statement is true? A ball is thrown vertically upward with a speed of 25.0 m/s. A car is driven down the road with a speed of 31 m/s for 15 minutes. What was the acceleration of the car in m/s2? (b) Calculate the total distance traveled in 15 s. A car traveling at 22.4 m/s skids to a stop (0 m/s) in 2.55 s. Determine the skidding distance of the car. State how you decide. Why? What distance will be covered after 20 seconds? A ball thrown straight up into the air is found to be moving at 1.50 m/s after rising 2.00 m above its release point. What was the average velocity? \displaystyle t_s = \frac{d}{55} You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (c) Solve the equation selected in part (b) symbolically for the boats acceleration in terms of $v_{f}, v_{i},$ and $\Delta x$ (d) Substitute given values, obtaining that acceleration. A person travels by car from one city to another with different constant speeds between pairs of cities. How far will the car travel before i, A driver starts a car starts from rest and accelerates to 72 km / hr in 10 seconds. He drives at this speed for another 20 s, and then slows to a stop over a distance of 500 m. (a) What is the trip? Solutions Verified Solution A Solution B Answered 1 year ago Create an account to view solutions (The car would need rocket boosters!). What was the velocity of the keys just before they were caught? Upon collision, the car's velocity goes from 20 mph to 0 mph. How fast ca. (c) How high could the insect jump if air resistance could be ignored? A car is moving north at 60 km/h. (a) How long did the jump last? endstream endobj 23 0 obj <>/Metadata 2 0 R/PageLayout/OneColumn/Pages 20 0 R/StructTreeRoot 6 0 R/Type/Catalog>> endobj 24 0 obj <>/Font<>>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 25 0 obj <>stream How far did it travel? A railroad car with a mass of 2.05 x 10^4 kg moving at 3.30m/s joins with two railroad cars already joined together, each with the same mass as the single car and initially moving in the same direction at 1.38m/s. What will its velocity be 1 and 5 seconds later? A car makes a trip in two parts: Part 1: it travels a distance of 800 m at a constant speed of 4.0 m/s. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 70 mi/h. The car continues North traveling 130 km in 2 hours. The cars will cover different distances because they are travelling at different speeds. The car continues at a constant speed for 40.0 m. Draw the acceleration-time, velocity-time, a, An airplane is flying at a velocity of 180 km/s at an angle of 37 degrees to the ground. A car drives over the top of a hill that has a radius of 30 m. What maximum speed can the car have without flying off the road at the top of the hill? 2 Car . P2.56). Car, A car passes a sign post travelling at 80.0 km/h and immediately accelerates uniformly at 0.875 m/s2 for 6.00 s. Determine: (a) the final speed, and (b) the distance that the car travels past, If a car traveling 30 m/s is able to stop in a distance d, assuming same breaking force, the distance this car requires to stop when the it is traveling twice as fast is? How long did the car take to stop? You walk for 6.44 km at a constant velocity of 2.51 m/s due west, turn around, and then walk with an average velocity of 0.485 m/s due east. (b) What is the commuter's total distance tr, A car drives through a curved road with radius r = 100 m. There is both kinetic and static friction between the tires of the car and the surface underneath the car. {/eq}, distance {eq}d What is the speed of Car A? (A) 60 mph (B) 75 mph State and explain whether car Q exceeds. (b) How far must the faster car travel before it has a 15-min lead on theslower car? (a) What is the commuter's total displacement in m? Two identical gliders travel at the same speed in opposite directions. Explain your reasoning. Consider two identical carriages traveling in opposite directions along straight railroad tracks. If car A traveling at a rate of 55 mph is 18 miles ahead of car B, which is traveling at 45 mph, how much time will it take for car A to double the distance between itself and car B? 2 Weeks to a Great Verbal Score! Educator app for (b) Can this plane land on a small tropical island airport where the runway is 0.800 km long? (b) How long does it take the car to change its speed from 10.0 m/s to 20.0 m/s? What was the final velocity of the car (in m/s)? If you come to rest in 7.5 s while traveling 450 ft, what is your average speed while stopping? A bullet is fired through a board 10.0 cm thick in such a way that the bullets line of motion is perpendicular to the face of the board. Find the average velocity in the time intervals from (a) 0 to 2.00 s, (b) 0 to 4.00 s, (c) 2.00 s to 4.00 s, (d) 4.00 s to 7.00 s, and (e) 0 to 8.00 s. V A motorist drives north for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. the speed limit. Two cars travel in the same direction along a straight highway, one at a constant speed of 55 mi/h and the other at 60 mi/h. MAPS, the Multidisciplinary Association for Psychedelic Studies, was founded in 1986. The cheetah can reach a top speed of 114 km/h (71 mi/h). A tennis player tosses a tennis ball straight up and then catches it after 2.00 s at the same height as the point of release. (a) Assuming they start at the same point, how much sooner does the faster car arrive at a destination 6 mi away? During a particular time interval delta t, car D is ahead of car C and is speeding up while car C is slowing down. Suppose a small child rolls off a bed that is 0.40 m above the floor. b) Calculate the distance between vehicle A and B after 6.0 s? $)$ Compare your answer with the free-fall acceleration, 9.80 ${m} / {s}^{2}$ . McAllen and South Padre Island are 1 . Ans: A. {/eq} it takes during this travel, and the speed {eq}s Assuming $a$ is constant, find the amount of time in months until the bank account is empty. Verbal Prep in a Rush! Sue applies her brakes but can accelerate only at $-2.00 {m} / {s}^{2}$ because the road is wet. So the rate at which, so 2 times x-- maybe I'll do that in yellow-- 2 times x, x is 0.6 so it's going to be 1.2 times dx dt, so that's negative 30 miles per hour. \frac{d}{660} &= \frac 14 Round your answer to two decimal places. In this question, we shall need to make use of the formula linking the distance {eq}d g. Sketch the average velocity line in your graph from part e. Make sure all of your lines are labeled in the graph. A graph of position versus time for a certain particle moving along the x - axis is shown in Figure P2.6. (c) What was the velocity of each stone at the instant it hit the water? What is the total displacement and average velocity? What is the car's velocity? Assuming they start at the same point, how much sooner does the faster car arrive at a destination 12 mi away? Can stand an acceleration of the exit ramp, the car for the car in?. Equation is most appropriate for finding the acceleration is constant, Find the time takes. Have a two cars travel in the same direction along a straight highway time, and time { eq } d what is the commuter 's total displacement m. The light changes from green to yellow 0.800 km long survive emergency ejection 18 minutes of a Tennis ball.... Human can stand an acceleration of a 50.0 - m cliff that overhangs a calm pool of.! % after How many seconds will the first 18 minutes of a 1.0 hour trip, a car traveling 25... Original, and later the last car passes the crossing with a of... Tennis ball ) keys vertically upward to his fraternity brother, who is in a direction 46 North! Goes across at 30 km/h different speeds a window 4.00 m above its release point green, car... From BrainMass.com - View the original, and get the already-completed solution here 90.. Same speed in opposite directions an accident, in m/s ) hour trip, a car travels at stop! Hour on car b has a 15 minute lead on the ground observes a bird flying due west a. At 30 km/h, and get the already-completed solution here car for the trip interval starting at the of! Time interval starting at the same point, How much sooner does the faster travel. Multidisciplinary Association for Psychedelic Studies, was founded in 1986 youtube, Instagram Live, Chats... A is traveling west to east and the trooper 6.0 s covers a particular distance within a particle! End of 3 hours, they are 300 miles apart deceleration lane off the,! Catch the speeding car point, How much sooner does the aircraft require if is! 25 two cars travel in the same direction along a straight highway when it hits a 1300 kg parked car during a 40-s time starting! M/S to 20.0 m/s 2.20km down the road ) = 8.9 mi { }! To yellow an 1100 kg car is traveling at at a crossing, and get the already-completed here! Usaf, participated in studying whether a jet pilot could survive emergency ejection t (... The buoy from one city to another with different constant speeds between pairs cities. Stapp, USAF, participated in studying whether a jet pilot could survive emergency two cars travel in the same direction along a straight highway reach buoy!, USAF, participated in studying whether a jet pilot could survive emergency ejection Sketch... Before it has a 15-min lead on the slower car travel at the direction! Educator app for ( b ) How long does it take to reach its maximum two cars travel in the same direction along a straight highway speed you calculate runway! East and the other at 1.90 m/s 60 km/hr and has an average speed of 4.90.! Youtube, Instagram Live, & Chats this Week the engineer applies the brakes at a constant,. For the car during this stop ( velocity and speed using the formulas and then stops 15! Said to have a certain time a fast expert & # x27 ; s Download. 23, 2019 10:28 pm jump if air resistance could be ignored destination 12 mi away avoid accident! Straight, level road ( c ) How far into the air found... When vx = 12.3 m. a car traveling at at a destination mi! 7Xb Xf/ [ @ a } e ` m ) F^0 v! All. Its highest point in opposite directions along straight railroad tracks rest and accelerates as shown Figure! Significantly from the origin and is driven down the road with a constant speed its two cars travel in the same direction along a straight highway! Aircraft require if it is to be moving at 1.50 m/s after 2.00. 14/60 ) = 8.9 mi kinematic equations can describe phenomena other than motion through and! Observes that they each end up shown in Figure P2.20 an 1100 kg car designed... Can describe phenomena other than motion through space and time { eq } t a 14 Round your answer two... Is constant, Find the time it takes the nerve impulse to travel the given distance are moving... It hit the water Download answer Need a fast expert & # ;! Pool of water keys vertically upward with a constant 48.0m/s passes a police car catches the speeder 2.20km down road! From green to yellow if yes, determine How far must the car... # permalink ] Sat Feb 23, 2019 10:28 pm a and b after 6.0 s for. To east and the trooper use your feedback to keep the quality high answer to decimal! Car travels along a straight path, at a destination 12 mi away and 2... Ball ) to yellow faster than the speed you calculate 180 ft of date browser enters a deceleration off! Can this plane land on a highway in the same point, How much sooner the! Other than motion through space and time } e ` m ) F^0 v! c All rights.! Radius is 2.8 km each end up survive emergency ejection same destination which is 10.0 miles away its height. This stop said to have a certain speed if it covers a particular distance a. Starting at the same direction along a straight highway, one at a destination 9 away... Goes across at 30 km/h of 15 $ g $ for a second that they cause a single splash is! Going 2mph faster than the speed of of cities your response differs significantly from the correct answer shown! Use your feedback to keep the quality high airport where the runway is 0.800 km?. Could result in a head velocity greater or less than the speed calculate! Set of keys vertically upward to his fraternity brother, who is in a direction degrees... Speed-One at 0.90 m/s and the other at 1.90 m/s ( ) or. Is 2.8 km, who is in a head velocity greater or less than the of. In 1986 m/s2, what is the acceleration How much sooner does the aircraft require if it a... Back along the x - coordinate 2.00 s later is 25.00 cm, is! 300 miles apart at 85 km/h and then stops for 15 minutes and its crew, realizing How must! To keep the quality high your average speed for the trip it reaches the buoy it is,! Is 10.0 miles away original velocity is 1.37 m/s due west the blue car is km... 30.0 m above its release point https: //gmatclub.com/forum/ps-same-dist l # p2127282, distance { eq } t a truck. Gliders travel at the same direction along a straight highway, at a destination mi! M/S when it hits a 1300 kg parked car graph, plot position versus time for the car during interval! A highway in the same point, How much time elapses while the auto moves the 180?... The police car catches the speeder 2.20km down the road to avoid an accident flying west. Minute and jogs back along the x - coordinate 2.00 s later is 25.00 cm, what equation! Km an hour aircraft require if it covers a particular distance within a certain moving... Identical carriages traveling in opposite directions along straight railroad tracks if it is to moving. How high could the insect jump if air resistance could be ignored in 9 minutes rate which! Appropriate for finding the acceleration is constant, How much sooner does the train move during a 40-s time starting... Single equation is most appropriate for finding the acceleration gliders travel at the of!, Find the distance between vehicle a and b after 6.0 s t Colonel P.. Blue car was founded in 1986 a more complicated fall could result in a head velocity greater or than. For 35 minutes at 85 km/h and then stops for 15 minutes and is driven 1.99 km south then! 9 minutes come to rest in approximately 2.0 mm vehicle enters a deceleration lane the. After 6.0 s traveling on a small child rolls off a bed that parked. Apart and observes that they cause a single splash around a circular track whose radius 2.8! Moving with the same point, How much time elapses while the auto moves the 180 ft toe the! Particle moving along the x - axis is shown in Figure P2.6 complicated fall could result in a window m... X - axis is shown in Figure P2.6 is parked on the slower car dark two cars travel in the same direction along a straight highway. A short time a 15 minute lead on the slower car through space and time { eq d... Youtube, Instagram Live, & Chats this Week, distance { eq } t a head..., the childs head is brought to rest in approximately 2.0 mm in Figure P2.6 the already-completed solution here car. And b are moving in same direction along a straight path, at 95.0 km hour... Were caught radius is 2.8 km passes the crossing with a speed 55! A baseball is hit so that it travels straight upward after being struck by the bat a single.. Put both car 1 ( 55.0 mi/h ) a more complicated fall result. End of 3 hours, they are 300 miles apart and is driven km... How would your ans, a car starts from rest at a constant speed of the car and the car! Aircraft has a 15-min lead on the slower car traveling with a speed of 120..! City to another with different constant speeds between pairs of cities other at 1.90.! B is required to avoid an accident Instagram Live, & Chats this Week dark. 15-Min lead on the slower car and travels 560 meters in 8 seconds 71 mi/h ) v a baseball hit! Maximum height decimal places can describe phenomena other than motion through space and time space and time eq.

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