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An amusement park ride lifts seated riders 265 feet above the ground. The riders are then dropped and experience free fall until the brakes are activated 105 feet above the ground. The function h=-16t^2+265 represents the height h (in feet) of the riders t seconds after they are dropped. How long do the riders experience free fall? Round your solution to the nearest hundredth.
The riders experience free fall for about ___ seconds.

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lvvies

Answer:

The riders experience free fall for about 3.12 seconds.

Step-by-step explanation:

Find t when  h = 105

105= [tex]-16t^{2} +256[/tex]

0= [tex]16t^{2}[/tex] +160

0 = -16([tex]t^{2}[/tex]-10)

[tex]t^{2}[/tex] - 10 = 0

[tex]t^{2}[/tex] = 10

[tex]t = \sqrt{10}[/tex]

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