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After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked, its cork travels according to the function below, where s is its height(in feet) above the ground t seconds after being released.

s(t)=-16t^2+60t+2

a. How high will it go?

b. How long is it in the air?

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