## Study23 Group Title The equation of motion is $$\ s=2costy+3sint, t\le0$$. Find velocity/acceleration at time t. I took the derivative to find the velocity, but got 0...? one year ago one year ago

1. Dido525 Group Title

is that 2cos(ty) ?

2. Study23 Group Title

Good catch! That's supposed to be a t only.

3. Dido525 Group Title

so $s=2\cos(y) + 3\sin(t) , t \le0$ ?

4. Dido525 Group Title

Oops cos(t)

5. Dido525 Group Title

Well the velocity at time t is just the derivative. Can you differentiate that?

6. Study23 Group Title

@Dido525 I tried, but I got 0, which doesn't seem correct.

7. Dido525 Group Title

Lets see:|dw:1351660147750:dw|

8. zepdrix Group Title

Oh that was a 2? :P sorry..

9. Study23 Group Title

@zepdrix yup

10. Dido525 Group Title

11. Study23 Group Title

Would I add the derivates of each here? What happens to the constants?

12. Dido525 Group Title

I just did the derivative for you O_o .

13. Study23 Group Title

I suppose I was confused by the constants...

14. Dido525 Group Title

Ohh. If you have constants out in from you take out the constant, take the derivative of the function and multiply the constant back in.

15. Study23 Group Title

Ohh.Okay. I was getting the product rule confused with the addition one. So for the acceleration, I take the derivative of the derivative?

16. Dido525 Group Title

Yep!

17. Study23 Group Title

Okay!! Thanks so much!!!

18. Dido525 Group Title

Welcome :) .