## anonymous 3 years ago The position function for an object is given by s(t)=6t^2+240t, where s is measured in feet and t is measured in seconds. Find the velocity of the object when t=2 seconds.

1. anonymous

Velocity is the derivative of the position with respect to time. Are you given the position with respect to time. All you have to do is differentiate.

2. anonymous

Do I have to plug in the 2?

3. anonymous

v(t)=ds/dt v(t)=12t+240 v(2)=12*2+240=264 feet/second

4. anonymous

You plug the 2 into the derivative.

5. anonymous

You mean you have to use: $\sin(x/2) = \pm\sqrt{\frac{1-\cos(x)}{2}}$?

6. anonymous

In that case split it into: 1 + 12

7. anonymous

you're going to have to split it regardless.

8. anonymous

just differentiate the given function with respect to 't' It will give you velocity as a function of 't'. just plug in the required value i.e '2' to obtain velocity at time 2 seconds...