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PROBLEM 2 The height of a golf ball in feet can be determined using the formula h(t) = -16t2 + 100x , where t is the number of seconds after the golf ball is hit. What is the height of the golf after 2.5 seconds? F 156 ft. G 84 ft. H 150 ft. J 136 ft.

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abidemiokin

Answer:

H. 150 ft

Step-by-step explanation:

Given the height of a golf ball in feet modelled by the formula h(t) = -16t² + 100x where t is in seconds, we are to find the height of the golf after 2.5 seconds. To do that we will simply substitute t = 2.5secs into the formula given;

[tex]h(t) = -16t^2 + 100x\\\\h(2.5) = -16(2.5)^2 + 100(2.5)\\\\h(2.5) = -16(6.25) + 250\\\\h(2.5) = -100+250\\\\h(2.5) = 150\\\\[/tex]

Hence the height of the golf after 2.5 seconds is 150ft.