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.

Hello,

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

h=-g/2t²+vt+h0
if t=0,h=0 ==>h0=0

==>h=-16t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s

25=-161.25²+v1.25
==>v=50/1.25=40

Equation h=-16t²+40*t

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-07-04T05:32:22-04:00

The equation models the height of the ball correctly will be h = -16t² + 40t.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A soccer ball is kicked into the air from the ground.

g = 9.81m/s²

g = 9.81/0.3048

g =32.18.. ft/s² rounded to 32

h = -g/2t² + vt + h0

if t = 0,h = 0

h = -16t² + vt

50 ft in 2.5s

25 ft in 1.25s

25 = -16 x 1.25² + v x 1.25

v = 50/1.25

v =40

The equation models the height of the ball correctly will be h = -16t² + 40t.

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