[SOLVED] Integration (story)

[VikingStorm]

Use a(t) = -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?

(Calculus question)

I don't see where I would pull in calculus into this. (Will be on Calc test tomorrow, so other tips to dissect these kind of problems would be nice)

[Hurkyl]

Well, what do you know that you can apply to this?

(P.S. the night before is generally a little late to be studying for a test; you'd probably be better off getting a good night's rest)