Question

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative.

Answer 1

Given the function s(t) = -9 -3t, differentiating the function gives the instantaneous velocity. s’(t) = -3 This means that the velocity is not a function of time and is therefore constant. The velocity at t = 8 ( or any time for that matter) is -3 units/time.