The position of an object at time t is given by s (t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivative.

Given the position function

s (t) = 7 - 14t

The instantaneous velocity is the derivative the the position function:

s' (t) = v = - 14

The velocity in an instant in time is 14 m/s in the opposite direction.