Question

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?

A. 0.8 ft
B. 1.6 ft
C. 9.8 ft
D. 19.6 ft

Answer 1

C: 9.8 ft

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

Answer 2

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.