A sphere is released and falls. Its initial acceleration reduces until it eventually begins to travel at constant terminal velocity. Which displacement-time graph best represents the motion of the sphere?

A building has 5 floors. The windows on successive floors are separated by the same vertical distance.
A brick is dropped from a window on each floor at the same time.
The bricks should hit the ground at:

A girl dropped a stone into an empty well.
She heard the sound of the stone hitting the bottom of the well after 4 seconds.
The depth of the well is about

A marble is dropped from the roof of a building and takes 3.2 s to reach the ground.
The approximate height of the building is:

A ball is thrown vertically upwards with a velocity of +3.0 m.s^-1.
At the maximum height, the acceleration of the ball is -

A ball is dropped from rest from a building 35.0 m high.
If air resistance is neglected the ball hits the ground with a speed of -

A bus is travelling at a speed of 9.0 m s–1. It then accelerates at a rate of 0.75 m s–2 for a time of 8.0 s.
What is its final speed?

The acceleration of free fall on a particular planet is 8.0 m.s^–2.
An object is dropped from a height and hits the surface of the planet after 1.5 s.
From what height was it dropped?

A cyclist travelling at a speed of 4.2 m.s^–1 accelerates at 1.1 m.s^–2.
In a time of 7.4 s the distance traveled is: