Question

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

Answer 1

Answer: $v=-3$

Step-by-step explanation:

Given

The position of a particle is $s(t)=-9-3t$

Velocity is given by the derivative of position with respect to time

$\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3$

So, velocity is constant at any point in time.

At t=8, it is $v=-3$