A kicker kicks a football toward the opponent's goal line during a game. The ball begins its flight with an initial velocity of 90 feet per second when it is kicked at a height of 2 feet by the kicker. To the nearest foot, what is the maximum height the ball will reach?
h(t)=-16t^2+90t+2
A.) the answer can not be determined
B.) 90 feet
C.) 981 feet
D.) 129 feet

Question

A kicker kicks a football toward the opponent's goal line during a game. The ball begins its flight with an initial velocity of 90 feet per second when it is kicked at a height of 2 feet by the kicker. To the nearest foot, what is the maximum height the ball will reach?
h(t)=-16t^2+90t+2
A.) the answer can not be determined
B.) 90 feet
C.) 981 feet
D.) 129 feet

anonymous · Answer

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anonymous · Answer

The ball reaches its max height in time when the slope of the tangent line is 0.

samsan9 · Answer

so how would i find the maximum height using zerp?