4. A car company claims that its car can accelerate from rest to a speed of 28.0 m/s in 20.0 s. Find the average acceleration of the car and the distance it goes in this time.

A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then slows down at a rate of 2.00 m/s2to a stop. How far has it traveled, in meters? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

27. A driver of a car going 25.0 m/s suddenly notices a stop sign 40.0 m ahead. The braking deceleration rate of the car is 10.0 m/s², but it takes the driver 0.75 s (reaction time) to get the brakes applied. (a) Determine if the car runs the stop sign. (b) Determine the maximum initial speed at which the car could be moving and manage to stop at the sign.

A cheetah can reach the top speed of 114 km/h. A cheetah starts from rest and runs 48 m in a straight line, reaching a final speed of 94 km/h. 1. what's the average acceleration during sprint (m/s^2) 2. find displacment at t=3.0 s assuming constant acceleration throughout sprint

A VW Beetle goes from 0 to 42.0 mi/h with an acceleration of +2.35 m/s2. (a) How much time does it take for the Beetle to reach this speed? (b) A top-fuel dragster can go from 0 to 42.0 mi/h in 0.750 s. Find the acceleration (in m/s2) of the dragster.

A motorist traveling at a constant speed of 10.0 m/s. A police officer behind him 30.0 m starts in pursuit with a constant acceleration 2.00 m/s2, how much time elapses before the officer passes the motorist?

9. Figure 2 below shows the velocity of a particle as a function of time. (a) Find the acceleration for the five one-second periods and plot the acceleration as a function of time. (b) Taking x = 0 at t = 0, find the position of the particle at t 0.5 s, t = 1.0 s, t = 2.0 s, t = 3.0 s, t = 4.0 s, and t 5.0 s and plot the position as a function of time. Look at the slopes of your x vs t curve for the five one-second periods and show that they correspond to the velocities of Fig. 2. 15.0- 10.0 5.0 0.50 1.00 1.50 2.00 2.30 S.00 350 4.50 3.00 -5.0t -ם.םו- Fig 2 -15.0

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. Thanks

Cheetahs can accelerate to a speed of 20.0m/s in 2.50 s and can continue to accelerate to reach a top speed of 27.8 m/s. Assume the acceleration is constant until the top speed is reached and is zero thereafter. Let the +x-direction point in the direction the cheetah runs.  Express the cheetah's top speed vtop in miles per hour (mi/h). Vtop= ______________ mi/h Starting from a crouched position, how much time taccel does it take a cheetah to reach its top speed, what distance d does it travel in that time?  taccel = ____________ s d=_____________ m If a cheetah sees a rabbit 129.0 m away, how much time ttotal will it take to reach the rabbit, assuming the rabbit does not move and the cheetah starts from rest?  ttotal = _________ s

Rocket-powered sleds are been used to test the responses of humans to acceleration. Starting from rest, one sled can reach a speed of 510 m/s in 2.37 s and can be brought to a stop again in 3.15 s. Find the acceleration of the sled while accelerating. Answer in units of m/s2. Find the acceleration of the sled when braking. Answer in units of m/s2.