A motorcycle has a constant acceleration of 4.41 m/s2. Both the velocity and acceleration of the motorcycle point in the same direction. How much time, in seconds, is required for the motorcycle to change its speed from 46.2 to 56.2 m/s?

A cart is given an initial velocity of 8.3 m/s and experiences a constant acceleration of 3.3 m/s?. What is the magnitude of the cart's displacement during the first 7 s of its motion?

Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?

A cheetah is hunting. Its prey runs for 3.50 s at a constant velocity of +7.50m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

A jet accelerates at a constant rate from rest, traveling 900 m in 3.0 s. What is the magnitude of its acceleration, in m/s2?

A car is traveling at a steady 77 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.2 m/s2 . How much time elapses before the motorcycle is moving as fast as the car? How far is the motorcycle from the car when it reaches this 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?

The position of an object is given as a function of time as x(t) = (-3.00 m/s)t + (1.00 m/s2)t2. What is the average speed of the object between t = 0.00 s and t = 2.50 s?

a soldier fires an anti-tank missile at a stationary tank 4850 meters distant. The missile is fired with an initial speed of 28.5 m/s and accelerates with a constant acceleration of 18.6 m/s^2 for 6.42 s. The missile then continues on with a constant speed until it hits its target.  What is the total time that it took the missile to hit the target from the moment it was launched?

You decide to travel by car for your holiday visits this year. You leave early in the morning to avoid congestion on the roads. This enables you to drive at a comfortable speed of v1=67.1 mph for t1=1.70 hours. However, after this time, you unexpectedly come to a stop for tstop=43.8 min. Traffic starts moving again and you finish your travel at v2=55.6 mph for an additional t2=1.40 hours. There are 1609 meters in one mile. What was the total distance d traveled? What was the average speed v?