Question

what is the velocity and the distance traveled.
a(t) = 2t + 2, v(0) = −15, 0 ≤ t ≤ 5

Answer 1

First you need to find the velocity.

Answer 2

Remember that due to FTC
v(t) - v(0) = int 0 to t [ a(t) ] dt

Use this to find v(t)

Answer 3

do i plug -15 to t

Answer 4

no, t is the independent variable so we want it to stay.

Answer 5

-15 is plugged into v(0)

Answer 6

2t + 2 is plugged into a(t)

Answer 7

is it integral 0 and 5 (t^2+2t)

Answer 8

why do you have integral 0 and 5?

Answer 9

cuz of this 0<t<5