Question

If a spring is oscillating (moving) according to the velocity equation v(t) = sin(t) (in ft/s), then what is its displacement over its first π seconds of travel?

Answer 1

https://gyazo.com/81f7b024f75d96645c93c5a77057d0cd

Answer 2

@jim_thompson5910

Answer 3

All I did was plug in pi, which seems extremely wrong.

Answer 4

Maybe plug pi into the integral?

Answer 5

the displacement is equal to the area under the velocity curve

Answer 6

so you just need to evaluate
\[\Large \int_{0}^{\pi}\sin(t)dt\]

Answer 7

Final answer is 2?

Answer 8

yeah

Answer 9

displacement = velocity * time