Question

Darlene kicks a soccer ball off the ground and in the air with an initial velocity of 34 feet per second. Using the formula H(t) = _16t2 + vt + s, what is the maximum height the soccer ball reaches?

17.7 feet

18.1 feet

19.3 feet

20.2 feet

Answer 1

At maximum height, the velocity of the ball is 0.
v = u + at
0 = 34 - 32.2t
t = 1.06 seconds

In H(t), s = 0 because the ball is initially on the ground.

H(t) = -16(1.06)² + 34(1.06)
H(t) = 18.1 feet