h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.
In the question, we are given that during a local high school football game, the height of h feet of a football after t seconds can be represented by the quadratic function h(t) = -16t² + 58t + 2.
We are asked to find h(2.5) and explain its meaning.
To find h(2.5), we substitute t = 2.5, in the quadratic function h(t) = -16t² + 58t + 2.
Thus,
h(2.5) = - 16(2.5)² + 58(2.5) + 2,
or, h(2.5) = - 16(6.25) + 145 + 2,
or, h(2.5) = -100 + 147,
or, h(2.5) = 47.
Hence, h(2.5) = 47, and this mean that the height of the football after 2.5 seconds is 47 feet, using the quadratic function h(t) = -16t² + 58t + 2.
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