A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0

A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds

Respuesta :

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Functions and values

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

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