If an object's position remains constant as a function of time, what must dbe true about its aacceleration and velocdity?

Acceleration is zerdo and velocity is positive
acceleration and velocity are both positive
acceleration and velocity are both zero
acceleration is positive and velocity is zero

1 answer

If an object's position remains constant as a function of time, it means that the object is not moving. In this case:

  • The velocity, which is the rate of change of position with respect to time, is zero.
  • The acceleration, which is the rate of change of velocity with respect to time, is also zero since the velocity is not changing.

Therefore, the correct statement is:

Acceleration and velocity are both zero.