Question

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative

Answer 1

The question tells you exactly what to do. Do you know how to take the derivative?

The derivative of position is velocity. That is, d[s(t)]/dt = v(t).

Now plug in t=2, into v(t).

Answer 2

-2-12?

Answer 3

is the answer -14??

Answer 4

@TurtleMuffin

Answer 5

You plugged t=2 into s(t). Take the derivative first. They're asking for velocity.

Answer 6

i dont remember how to do that

Answer 7

Velocity is rate of change. What's the rate of change of s(t)?

Answer 8

How fast does the position, s(t), change with respect to time, t?