The position of an object at time t is given by s(t) = -8 - 9t. Find the instantaneous velocity at t = 1 by finding the derivative. plz show work

The instantaneous velocity at t = 1 will be:

Step-by-step explanation:

Given the position of an object at a time

As we know that determining the derivative of the position function with respect to time t would give us the instantaneous velocity, so

Applying the sum/difference rule:

as

   ∵

and

  ∵  and

so the expression becomes

As the derivative is constant.

Therefore, the instantaneous velocity at t = 1 will be:

step-by-step explanation: s