A ball is thrown upward from a height of 112 feet above theground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t)=9632t feet per second.

I need to set up an equation for s(t) as well as figure out 1) How long will the ball take to reach theground? and 2) How high will the ballgo?

I'm not sure whether I need to use integrals or derivatives