Determine whether the following statements are true or false and give an explanation or counter example. a. If the acceleration of an object remains constant, then its velocity is constant. b. If the acceleration of an object moving along a line is always 0, then its velocity is constant. c. It is impossible for the instantaneous velocity at all times aless than or equalstless than or equalsb to equal the average velocity over the interval aless than or equalstless than or equalsb. d. A moving object can have negative acceleration and increasing speed.

If the acceleration of an object remains constant, then its velocity is constant. False

If the acceleration of an object moving along a line is always 0, then its velocity is constant. True

It is impossible for the instantaneous velocity at all times aless than or equalstless than or equalsb to equal the average velocity over the interval aless than or equalstless than or equalsb. True

A moving object can have negative acceleration and increasing speed. False

Explanation:

First of all, before we can talk of acceleration, then there must be a change in velocity. If the velocity of a body is constant, then there will not be any acceleration at all.

If the acceleration is zero, then there is no change in velocity, the velocity is constant.

The instantaneous velocity is always changing all through the motion hence it cannot be determined at all times to equal the average velocity.

If the acceleration is negative, it simply means that the velocity is decreasing with time. Hence there can't be a negative acceleration and increasing velocity.

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