Mathematics: Rebekah kicks a soccer ball off the ground and in the air, with an initial velocity of 25 feet per second. using the formula h(t) = −16t^2 + vt + s, what is the maximum height the soccer ball reaches? 9.5 feet9.8 feet10.2 feet10.7 feet

medianStep-by-step explanation:...

Rebekah kicks a soccer ball off the ground and

jlulu398

13.03.2022

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 :

H(t)=-16t^2+vt+s ................(1)

s = 0

For maximum height, $\dfrac{dH(t)}{dt}=0$

$\dfrac{d(-16t^2+25t)}{dt}=0$

-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 :

$H(t)=-16(0.78)^2+25\times 0.78$

H(t) = 9.76 feet

H(t) = 9.8 feet

So, the maximum height the soccer ball reaches is 9.8 feet. Hence, the correct option is (b).

0,0(0 оценок)