Question

The height of a flare fired from a 32-foot high platform can be modeled by the function h= -16t^2 + 16t + 32, where h is the height in feet above the ground and t is the time in seconds. Find the time it takes the flare to reach the ground

Answer 1

Time, t = 2 seconds

Explanation:

The height of a flare fired from a 32-foot high platform can be modeled by the function :

`h= -16t^2 + 16t + 32`

Here, h is the height in feet above the ground and t is the time in seconds.

It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,

h = 0

`-16t^2 + 16t + 32=0\\\\t=(-16+√(16^2-4* (-16)(32)) )/(2(-16)), (-16-√(16^2-4* (-16)(32)) )/(2(-16))\\\\t=-1\ s, 2\ s`

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.