Question

The position of an object at a time t is given by s(t)=-4-2t. Find the instantaneous velocity at t=6 by finding the derivative

Answer 1

Answer:

Velocity, s'(t)=-2

Step-by-step explanation:

It is given that,

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

$s(t)=-4-2t$

We need to find the instantaneous velocity. We know that velocity is given by :

$v=\dfrac{ds(t)}{dt}$

or

$s'(t)=-2$

So, the instantaneous velocity at t = 6 seconds is -2 m/s i.e. s(6) = -2 Hence, this is the required solution.

Answer 2

$\bf s(t)=4-2t\implies \cfrac{ds}{dt}=0-2\implies \left. \stackrel{v(t)}{\cfrac{ds}{dt}=-2} \right|_{t=6}\implies -2$