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Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting height of the ball is 0 feet. Approximately what maximum height does the soccer ball reach?

A0.8 ft
B1.6 ft
C9.8 ft
D19.6 ft

Verified Answer :

The approximate maximum height that the soccer
ball reaches is 9.8 ft. The correct answer between all the
choices given is the third choice or letter C. I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.

Answer:

C: 9.8 ft

Step-by-step explanation:

H(t) = -16t^2 + vt + s

v = 25 ft per sec

s = 0

H(t) = -16t^2 + 25t + 0

a= -16, b= 25, c= 0

vertex fomula =  - b/2a

- 25/2(-16)

= -25/-32

t = .781

-16(.781)^2 + 25(.781) + 0

-16(.61) + 19.53 + 0

-9.76 + 19.53

= 9.77

Vertex = (.781, 9.77)

Answer:  The maximum height is 9.8 ft

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