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

Would I actually solve it like a derivative, or is it safe to say that the instantanious velocity (slope) is -5?

Answer 2

yup

Answer 3

hint:
the istantaneous velocity, is the first derivative of s(t) with respect to time t
\[v\left( t \right) = \frac{{ds}}{{dt}}\]

Answer 4

Yup to which one? haha

Answer 5

hihihi... either way is correct

Answer 6

I've seen that formula before! So I'm right? The instant velocity is -5?

Answer 7

that's right!

Answer 8

Yay! Thank you!