A particle moves along the x-axis with velocity v(t) = sin(2t), with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = π seconds.

Question

Do I have to take the integral of the equation like ∫ sin(2t) where a=0 b=pi

Answer 1

since v(t) = sin (2t)
then s(t) = -(1/2)cos(2t) + c , where s(t) is the distance

when t = 0,
s(0) = -(1/2)cos 0 + c
= c - 1/2

when t = π
s(π) = -(1/2)cos 2π + c
= c - 1/2

distance traveled = s(π) - s(0)
= c - 1/2 - (c - 1/2)
= 0

which is exactly what you would get.
Just a different way of writing it.

Answer 2

whats the answer lol

Answer 3

He specifically says it in the end, learn how to actually ready before making comments like that Pablo lol.

The answer is 0.

Answer 4

idk either guys

Answer 5

you don't know the answer then dont say it you nerd