Kim W.

asked • 05/06/18

Math word problem please help

A model rocket is launched with an initial velocity of 235 ft/s. The rocket’s height h (in feet ) 𝑡 seconds after it is launched is given by the following.

h=235t -16t^2

A. Find all the values of 𝑡 for which the rocket’s height is 151 feet. Round your answer(s) to the nearest hundredth.


B. Determine how long after the launch the rocket will hit the ground.

1 Expert Answer

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Patrick B. answered • 06/04/20

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B) 235t - 16t^2 = 0

t( 235- 16t) = 0

t=0 or 235-16t = 0

235=16t

235/16 = t

14 11/16 = t


A) 235t - 16t^2 = 151

0 = 16t^2 - 235t + 151

t = 14.014069637206301075565491665075‬ per quadratic formula

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Arturo O.

The solution t=14.014 is the time it takes to reach 151 on the way down. The quadratic formula also gives a lower solution t=0.673, which is the time to reach 151 on the way up.
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06/04/20

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