Question

if an objects position remains constant as a function of time, what must be true about its acceleration and velocity? (1 point)
acceleration and velocity are both positive.
acceleration and velocity are both zero.
acceleration is positive and velocity is zero.
acceleration is zero and velocity is positive.

Explanation:

Velocity is the rate of change of position. If position is constant, velocity \(v=\frac{\Delta x}{\Delta t} = 0\). Acceleration is the rate of change of velocity. Since velocity is zero and not changing (\(\Delta v = 0\)), acceleration \(a=\frac{\Delta v}{\Delta t}=0\).

Answer:

Acceleration and velocity are both zero.