Question

Calculus II:

Starting at s = 0 when t = 0, an object moves along a line so that its velocity at time t is v(t) = 2t - 4 centimeters per second. How long will it take to get to s = 12? To travel a total distance of 12 centimeters?

Answer 1

I have t=6

Answer 2

hold on, i'll compute and see if it matches

Answer 3

v(t) = 2t - 4
s(t) = integral 2t - 4
= 2t^2 - 4t + C
0 = 0^2 -4(0) + C

t^2 - 4t = 12
t^2 -4t -12=0
(t-6)(t-2)
t= 6
considering time is never negative

Answer 4

Grrrrrrr Idk HHHHEEEEELLLLLPPPPPP

Answer 5

that will be (t-6)(t+2)

Answer 6

yes i get 6 also

Answer 7

second thing, u have made the displacement 0, but actually distance is needed

Answer 8

he is correct

Answer 9

sorry, u have made displacement 12 :)

Answer 10

yes since the velocity starts out negative, the object is going backwards at first, then goes forwards. do you want the total displacement to be 12 or the position from the starting point to be 12?

Answer 11

Arnab09 would that mean I would have to integrate as such