Question

If the position function of a particle is a linear function of time, what can be said about its acceleration?

a) Constant
b) Increasing
c) Decreasing
d) Zero

Answer 1

If the position function of a particle is a linear function of time, then its acceleration is zero.

Step-by-step explanation:

If the position function of a particle is a linear function of time, then its acceleration can be said to be d) Zero. A linear position function implies a constant velocity, and since acceleration is the rate of change of velocity, if the velocity is not changing, then the acceleration is zero. In other words, the particle is not speeding up or slowing down.