## anonymous one year ago 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?

1. anonymous
2. anonymous

@jim_thompson5910

3. anonymous

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

4. anonymous

Maybe plug pi into the integral?

5. jim_thompson5910

the displacement is equal to the area under the velocity curve

6. jim_thompson5910

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

7. anonymous

8. jim_thompson5910

yeah

9. dan815

displacement = velocity * time

10. dan815

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