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.......... After a great deal of experimentation, two college senior physics maj

ID: 3341444 • Letter: #

Question

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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)= -16t2 + 50t + 2 How high will it go? How long is it in the air? The cork will go feet. (Round to the nearest whole number as needed.) The cork will be in the air for seconds. (Type an integer or decimal rounded to two decimal places as needed.)

Explanation / Answer

For maximum height in the air s'(t)=0


s'(t) = -32t+50 = 0

hence t=25/16



s(25/16) = 41.0625 feet

t=1.5625 s