Question

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

Answer 1

Answer:

The instantaneous velocity at $t = 2$ is $-6$.

Step-by-step explanation:

We have the position as the function

$s(t) = -2 - 6t$

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  $s(t) = -2 - 6t$

∴ $s'(t)=-6$

The instantaneous velocity at $t = 2$

$s'(2)=-6$

Therefore, the instantaneous velocity at $t = 2$ is $-6$.

Please note that the negative value indicates the direction of movement, in this case, it would be backward.