Question

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative.

Answer 1

So the derivative of

\[\large s(t) = -9 - 5t\]

The derivative of a constant is 0...and a term with a variable is just the term...so we have

\[\large s'(t) = -5\]

this shows that the instantaneous velocity at ANY time will be -5

Answer 2

You're amazing! Thank you so much!

Answer 3

Of course :) it's fun helping you hun :P