Question

Can someone please help me?

The position of an object at time t is given by s(t) = 7 - 14t. Find the instantaneous velocity at t = 7 by finding the derivative.

Answer 1

the derivative of \(s(t)=7-14t\) is a constant, namely \(s'(t)=-14\)

Answer 2

so the instantaneous velocity is \(-14\) no matter what \(t\) is

Answer 3

Oh, so 7 doesn't play any role in this?

Answer 4

nope

Answer 5

\(7-14t\) is a line with slope \(-14\)
slope is constant