A car starting from rest moves in a straight line with a constant acceleration of 1.70 m/s² for 10.0 s, then slows down to a stop with a constant deceleration of 3.05 m/s². How far does it travel?

Light-rail passenger trains that provide transportation within and between cities speed up and slow down with a nearly constant (and quite modest) acceleration. A train travels through a congested part of town at 5.0 m/s. Once free of this area, it speeds up to 12 m/s in 8.0 s. At the edge of town, the driver again accelerates, with the same acceleration, for another 16 s to reach a higher cruising speed. What is the final speed?

A commuter backs her car out of her garage with a constant acceleration of 1.9 m/s2. Assume that her initial motion is in the positive direction.     How long does it take her to reach a speed of 2.35 m/s in seconds?  If she then brakes to a stop in 0.65 s, what is her acceleration in meters per square second?

A car is speeding at 25 m/s (constant) in a school zone. A police car starts from rest just as the speeder passes and accelerates at a constant rate of 5.0 m/s². How fast is the police car traveling when it catches up with the speeder?

A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00 s. Then it continues with a uniform speed for another 6.00 s. Finally, it speeds up with a constant acceleration of 2.02 m/s2 until it reaches a speed of 18.0 m/s. (a) How long does it take for the car to reach a speed of 18.0 m/s? Time is measured from the beginning at t = 0  (b) What is the total displacement of the car?

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?

An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s² as it goes through. The station in 210.0 m long. How fast is it going when the nose leaves the station?

An object is initially at rest and subject to a constant acceleration of 1.59 m/s2. What amount of time will it take this object to undergo a displacement of 29 from its initial position?

A car is traveling along a straight road at a velocity of +39.5 m/s when its engine cuts out. For the next 2.81 seconds, the car slows down, and its average acceleration is a,. For the next 5.65 seconds, the car slows down further, and its average acceleration is ₂. The velocity of the car at the end of the 8.46-second period is +28.6 m/s. The ratio of the average acceleration values is ā,/₂ = 1.78. Find the velocity of the car at the end of the initial 2.81-second interval. 2

A rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0 m/s2 until it reaches a speed of 1.50E2 m/s when the engines are cut off. After that, the rocket is in free-fall. What is the maximum height reached by the rocket?