A particle has a constant acceleration of 6.0 m/s2. (a) If its initial velocity is 2.0 m/s, at what time is its displacement 5.0 m? (b) What is its velocity at that time?

A hoodlum throws a stone vertically downward with an initial speed of 15.0 m/s from the roof of a building, 36.0 m above the ground. (a) How long does it take the stone to reach the ground? (b) What is the speed of the stone at impact?

A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/ s, and her takeoff point is 1.80 m above the pool. (a) How long are her feet in the air? (b) What is her highest point above the board? (c) What is her velocity when her feet hit the water?

A train, traveling at a constant speed of 22.0 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.40 m/s2. (A) What is the speed of the train after 7.20 s on the incline? (B) How far has the train traveled up the incline after 7.20 s?

A person walks 20.0 meters in a straight line. Then the person turns around and walks back 18.0 meters along the same line. The time for the walk is 9.00 seconds.(a) What is the average speed for this walk?(b) What is the average velocity for this walk?(c) What is the displacement?(d) What is the total distance?

Initially stationary, a train has a constant acceleration of 0.2 m/s2. (a) What is its speed after 33 s? m/s (b) What is the total time required for the train to reach a speed of 20 m/s?

A particle moves along the x-axis according to x(t) =10t – 2t m. (a) What is the instantaneous velocity at t= 2 s and t= 3 s? (b) What is the instantaneous speed at these times? (c) What is the average velocity between t= 2 s and t= 3 s?

At a given instant in time, a ball is thrown straight up into the air with a velocity of 5.0 m/s starting from aposition 2.2 m above the ground.(a) What is the position of the ball after 1.0 s?(b) What is the ball’s velocity at this time?(c) What is the maximum height reached by the ball?(d) How far has the ball traveled after 1.0 s?

(a) What is the average acceleration of a skier who, starting from rest, reaches a speed of 8.0 m/sec when going down a slope for 5.0 sec?  (b) How far does the skier travel in this time?

A particle moves in a straight line with an initial velocity of 33 m/s and constant acceleration of 33 m/s. (Assume the particle is traveling in the positive direction. Indicate the directions with the signs of your answers.) (a) What is its displacement (in m) at t = 6 s? (b) What is its velocity (in m/s) at this same time? m/s