Mathematics

14 March, 22:29

Suppose a punter kicks a football so that the upward component of its velocity is 80 feet per second. If the ball is 3 feet off the ground when it is kicked, then the height of the ball, in feet, t seconds after it is kicked is given by h (t) = 3 + 80t - 16t2.

a. Find the upward velocity v (t) of the football.

b. How fast is the ball travelling upward 1 second after it is kicked?

c. Find the time when the ball reaches its maximum height.

d. What is the maximum height of the ball?

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