A sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.76 m/s 2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is fifty meters long. If the total race is run in 8.20 s, how far does he run during the acceleration phase? Number Units
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- A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.05 m/s2 for 12.0 s.2. Maintain a constant velocity for the next 2.00 min.3. Apply a constant negative acceleration of −9.41 m/s2 for 2.61 s. (a) What was the total displacement for the trip? _ m(b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? _ m (b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? leg 1 _ m/s leg 2 _ m/s leg 3 _ m/s complete trip _ m/sA car travels a total distance of 300m.During the first half of this distance, the car starts from rest and accelerates at a constant rate of 1.75 m/s2.Over the second half of the distance the car slows at a constant rate to a final velocity of 12.5 m/s. Determine the acceleration of the car during the second half of the trip.(hint: break problem into two parts and determine final velocity during first part) Determine how long it takes the car to complete the entire trip. (hint: break problem into two parts)While standing on a bridge 13.9 m above the ground, you drop a stone from rest. When the stone has fallen 3.30 m, you throw a second stone straight down. What initial velocity must you give the second stone if they are both to reach the ground at the same instant? Take the downward direction to be the negative direction. Number i Units
- In a 5000 m race, the athletes run 12(1)/(2) laps; each lap is 400 m. Kara runs the race at a constant pace and finishes in 17.5 min. Hannah runs the race in a blistering 15.3 min, so fast that she actually passes Kara during the race. How many laps has Hannah run when she passes Kara?Two cars both cover a straight distance, d = 274 m, in time t = 23 s. Car A moves at a constant velocity (vA). Car B moves at a constant acceleration (aB), starting from an initial velocity of v0B = 8.1 m/s. Assume both cars are moving in the positive x-direction. What is the velocity of Car A? vA = What is the final velocity of Car B? vB = What is the acceleration of Car B? aB =A car, initially at rest, accelerates at a constant rate, 3.36 m/s2 for 32.6 seconds in a straight line. At this time, the car decelerates at a constant rate of -2.00 m/s2, eventually coming to rest. How much distance (in meters) did the car travel during the deceleration portion of the trip?
- Ilya and Anya each can run at a speed of 7.60 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. a) Find Anya's average speed. b) How long does it take Ilya to cover the distance? (in minutes) c) Now find Ilya's average speed. ThanksA rocket is fired straight up from rest with a net upward acceleration of 12 m/s2. After 10.0 s, the engine shuts off, but the rocket continues to coast upward with insignificant air resistance. What is the maximum the rocket reach from the ground?Kathy tests her new sports car by racing with Sian, an experienced racer. Both start from rest, but Kathy leaves the starting line 1.00 s after Stan does. Stan moves with a constant acceleration of 3.50 m/s2, while Kathy maintains an acceleration of 4.90 m/s2 . Find (a) the time at which Kathy overtakes Stan, (b) the distance she travels before she catches him, and (c) the speeds of both cars at the instant Kathy overtakes Stan.
- A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.55 m/s2 for 10.0 s. 2. Maintain a constant velocity for the next 1.00 min. 3. Apply a constant negative acceleration of −9.03 m/s2 for 2.82 s. (a) What was the total displacement for the trip? (b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip?A sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.78m/s2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is fifty meters long. If the total race is run in 8.38 s, how far does he run during the acceleration phase?A record of travel along a straight path is as follows: 1. Start from rest with constant acceleration of 2.05 m/s2 for 14.0 s.2. Maintain a constant velocity for the next 2.30 min.3. Apply a constant negative acceleration of −9.41 m/s2 for 3.05 s. (a) What was the total displacement for the trip? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m(b) What were the average speeds for legs 1, 2, and 3 of the trip, as well as for the complete trip? leg 1 m/s leg 2 m/s leg 3 m/s complete trip m/s