Question

The position of an object at time t is given by s(t) = 6 - 14t. Find the instantaneous velocity at t = 6 by finding the derivative.

Answer 1

The inst. vel. is ds/dt = -14, which is independent of time t.  Thus, 
the inst. vel. at time t=6 is -14 units/sec.

Answer 2

Answer: -14 m/s

Step-by-step explanation:

Given: The position of an object at time t is given by

$s(t) = 6 - 14t$

To find the instantaneous velocity, we need to find the derivative of the given function of position with respect to time t, we get

$\dfrac{ds}{dt}=\dfrac{d}{dt}(6-14)=-14$

Hence, the instantaneous velocity at t = 6 = $\dfrac{ds}{dt}=-14$ m/s