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A roller coaster’s height is given by the equation h = –.067t2 + 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

1 Answer

4 votes
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=-0.067+^2 + 7* + 50
where
t is the time in seconds
The driver will hit the ground at the point where
h = 0
Substitute
-0.067+^2 + 7+ + 50 = 0
Multiply through by-1
0.067+^2 - 7t +-50 = 0
Factorize
On factorizing, the positive value of "" is 111.19 seconds
Hene the time it take riders to pass