Question

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.

Answer 1

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.

Answer 2

Do I have to plug in the 2?

Answer 3

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

Answer 4

You plug the 2 into the derivative.

Answer 5

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

Answer 6

In that case split it into: 1 + 12

Answer 7

you're going to have to split it regardless.

Answer 8

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...