## grobles27 2 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. wio

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. grobles27

Do I have to plug in the 2?

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

4. wio

You plug the 2 into the derivative.

5. wio

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

6. wio

In that case split it into: 1 + 12

7. wio

you're going to have to split it regardless.

8. vaibhav_s

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...