Question

A phone is accidentally dropped from a
helicopter at a height of 3,600 ft. If the
equation for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the phone
to hit the ground?

Answer 1

The time taken for the phone to hit the ground is 15 seconds.

How to calculate the time?

Initial height = 3600 ft

h(t) = -16t² + initial height.

h(t) = -16t² + 3600

h(t) = 3600 - 16t²

When the phone hit the ground

h(t) = 0

3600 - 16t² = 0

16t² = 3600

t² = 3600/16

t² = 15

The time taken is 15 seconds.

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