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Vanessa throws a tennis ball in the air. The function h(t) = -15t^2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?

 Mar 26, 2021
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We're going to complete the square. :))

 h(t) = -15t^2 + 45t + 10

h(t) = -15(t-1.5)^2+ 43.75

A square minumn is 0, and we want the (t-1.5)^2 to be as small  as possible, so it's 0. 

h(t) = -15*0+ 43.75

h(t) = 43.75

 

 

Our maximum height is 43.75

 

=^._.^=

 Mar 26, 2021

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