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When is the average velocity of an object equal to the instantaneous velocity?

Always.

Never.

Only when the velocity is increasing at a constant rate.

Only when the velocity is constant .

An object is moving with constant non-zero velocity in the +x axis. The position versus time graph of this object is:

A horizontal straight line.

A straight line making an angle with the time axis.

A parabolic curve.

A vertical straight line.

Suppose a can, after an initial kick, moves up along a smooth hill of ice. Make a statement concerning its acceleration.

It will travel at constant velocity with zero acceleration.

It will have a constant acceleration up the hill, but a different constant acceleration when it comes back down the hill.

It will have the same acceleration, both up the hill and down the hill.

It will have a varying acceleration along the hill.

Can an object's velocity change direction when its acceleration is constant? Support your answer with an example.

Yes, this is possible, and a car that starts from rest, speeds up, slows to a stop, and then backs up is an example.

No, this is not possible because it is always speeding up.

Yes, this is possible, and a rock thrown straight up is an example.

No, this is not possible because it is always speeding up or always slowing down, but it can never turn around.

Under what condition is average velocity equal to the average of the object's initial and final velocity?

This can only occur if there is no acceleration.

This is impossible.

The acceleration must be constantly changing.

The acceleration must be constant.