The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet

Question

2 years ago

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and t is time in seconds. Find the time the golf ball takes to reach the ground.

1 answer:

taurus [48] · Answer 1 · 2023-02-01T01:37:39+03:00

The time taken for the golf ball to reach the ground is 1 s.

<h3>Motion of the golf ball</h3>

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

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