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?