Hello!
[tex]\large\boxed{d = 10 m}[/tex]
When the ball reaches its maximum height, the velocity equals 0. We can use the kinematic equation:
vf = vi + at, where:
vf = final velocity (0)
vi = initial velocity (14 m/s)
a = acceleration due to gravity, or 9.8 m/s (downwards)
t = time, which will be solved for.
Plug in the given values:
0 = 14 - 9.8(t)
-14 = -9.8(t)
t ≈ 1.429 sec
Solve for the distance traveled using the kinematic equation:
d = 1/2(vf + vi)t
Plug in the values:
d = 1/2(14 + 0)(1.429)
d = 1/2(14 · 1.429)
d ≈ 10 m
