Question

The position of an object at time t is given by s(t) = -4 - 2t. Find the instantaneous velocity at t = 6 by finding the derivative.

How would I solve this?

Answer 1

s'(t) = -2. So s'(6) = -2

Answer 2

yea, there is no acceleration, it is traveling in a straight line, the velocity is the slope

Answer 3

a(t) = s ''(t) = 0

Answer 4

@sourwing so the final answer is -2?

Answer 5

Yes, the final answer is 2.
In this case, notice, the velocity is given by a line y=-2 and that means that for any value of x the veloicty is same.

(and acceleration, the 2nd derivative, is 0)

Answer 6

oh, -2 (typo)

Answer 7

to make sure, one more time.
the final ans is -2