Your answer would be, Letter Choice, (B), 9.8 Ft.
hope that helps!!!! : )
Answer:
Maximum height, H(t) = 9.8 feet
Step-by-step explanation:
It is given that, Rebekah kicks a soccer ball off the ground and in the air.
Initial velocity of the ball, v = 25 feet per second
The height as a function of time is given by :
[tex]H(t)=-16t^2+vt+s[/tex]................(1)
s = 0
For maximum height, [tex]\dfrac{dH(t)}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+25t)}{dt}=0[/tex]
-32 t + 25 = 0
t = 0.78 s
The maximum height of the soccer ball can be calculated using the value of t in equation (1) as :
[tex]H(t)=-16(0.78)^2+25\times 0.78[/tex]
H(t) = 9.76 feet
or
H(t) = 9.8 feet
So, the maximum height the soccer ball reaches is 9.8 feet. Hence, the correct option is (b).
