Question

A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is

h(t) = -16t^2 + initial height where t is time in seconds and h(t) is height in feet, how

many seconds will it take for the camera to hit the ground?

[?] seconds

Answer 1

Answer: the answer is 16

Explanation:

Just did it on acellus

Answer 2

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Answer:

16 seconds

Explanation:

You want to find t such that h(t) = 0

h(t) = -16t^2 +4096 . . . equation for height

0 = -16t^2 +4096 . . . . .equation for height = 0

16t^2 = 4096 . . . . add 16t^2

t^2 = 256 . . . . . . . divide by 16

t = 16 . . . . . . . . . . . take the positive square root

It will take 16 seconds for the camera to hit the ground.