A T-shirt is launched from a height of 66 feet with an initial upward velocity of 6464 feet per second. The T-shirt is caught 4444 feet above the fieldfield. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?

Question

Mathematics

Leland Gillespie

26 May, 04:39

A T-shirt is launched from a height of 66 feet with an initial upward velocity of 6464 feet per second. The T-shirt is caught 4444 feet above the fieldfield. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?

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Answers (1)

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Hanna Baker · Answer 1

s = - 16t^2 + 64t + 3

v = - 32t + 64

the maximum height occurs when v = 0:

-32t + 64 = 0 when t = 2 sec

the maximum height is

s = - 16 (2^2) + 64 (2) + 3 = 67 ft

the range is [ 3, 67]