A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is - 16 ft/s2.

Question

Colton Montes

Mathematics

1 May, 09:15

A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is - 16 ft/s2.

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Answers (1)

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Jasmin Mann · Answer 1

Hello,

g=9.81m/s² = 9.81/0.3048 = 32.18 ... ft/s² rounded to 32

h=-g/2*t²+vt+h0

if t=0, h=0 = = >h0=0

==>h=-16*t²+vt

50 ft in 2.5s = = > 25 ft in 1.25s

25=-16*1.25²+v*1.25

==>v=50/1.25=40

Equation h=-16t²+40*t