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A punter on Westview High School's football team kicks a ball straight up from 5 feet above the ground with an initial upward velocity of 45 feet per second. The height of the ball above ground after t seconds is given by the equation h = –16t^2 + 45t + 5, where h is the height of the ball in feet and t is the time in seconds since the punt. What is the maximum height of the ball, to the nearest foot?

A. 37 feet
B. 38 feet
C. 39 feet
D. 400 feet

Question

I will award you! :)

A punter on Westview High School's football team kicks a ball straight up from 5 feet above the ground with an initial upward velocity of 45 feet per second. The height of the ball above ground after t seconds is given by the equation h = –16t^2 + 45t + 5, where h is the height of the ball in feet and t is the time in seconds since the punt. What is the maximum height of the ball, to the nearest foot?

A. 37 feet
B. 38 feet
C. 39 feet
D. 400 feet

anonymous · Answer

@Hero

anonymous · Answer

@SolomonZelman

solomonzelman · Answer

So, we are having a case of a parabola.

$\normalsize\color{black}{ h = –16t^2 + 45t + 5}$

solomonzelman · Answer

https://www.desmos.com/calculator/xljcce9d24

anonymous · Answer

What should i solve for?

solomonzelman · Answer

the maximum point is labeled.

solomonzelman · Answer

it is 36.641, which is approximately 37.

anonymous · Answer

great. thanks! :)

anonymous · Answer

I actually have one more question. could you help me one more time?

solomonzelman · Answer

I wanted to work that one out by hand without graphing, but it is a very dirty equation that would involve very stupid fractions... yw