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?

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

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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