## anonymous 5 years ago s(t)= 1.85sin(36piet) t= seconds find velocity for t=0.025sec

1. anonymous

$v(t)=1.85*36pisin(36\pi t)$ $v(0.025)=1.85*36\pi \sin(36 \pi 0.025)$ pi = 3.14

2. anonymous

sorry!!!!

3. anonymous

$v(0.025)=1.85*36 \pi \cos(36 \pi 0.025)$

4. anonymous

??

5. anonymous

derivative of sin is cos

6. anonymous

7. anonymous

why is it(36*pie-cos)

8. anonymous

$d(\sin(at))/dt=a \cos(at)$

9. anonymous

so where do i go from there

10. anonymous

s(t) is a distance function, so the velocity is derivative of s(t) $v(t)=ds(t)/dt$

11. anonymous
12. anonymous

how can i get my answer is cm/s

13. anonymous

Since your question doesnt involve any distances, you can choose your time interval to be 1 cm per 1 second (t).