Question

Chris drops an egg with a parachute from the top of a building. The height, h, in feet, of the egg above the ground after t seconds is given

by h (t) = 100 - 16t2

After how many seconds does the egg hit the ground?

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Answer 1

The egg hits the ground after 2.5 seconds.

Explanation:

Height of the egg:

The height of the egg after t seconds is given by:

`h(t) = 100 - 16t^2`

After how many seconds does the egg hit the ground?

This is t for which
`h(t) = 0`. So

`h(t) = 100 - 16t^2`

`16t^2 - 100 = 0`

`16t^2 = 100`

`t^2 = (100)/(16)`

`t = \sqrt{(100)/(16)}`

`t = (10)/(4)`

`t = 2.5`

The egg hits the ground after 2.5 seconds.