A model rocket is launched straight up, with an initial velocity of 150 m/s. The height of the rocket can be modelled by h = -5t^2 + 150t, where h is the height in metres and t is the elapsed time in seconds. What is the maximum height reached by the rocket?

A model rocket is launched straight up, with an initial velocity of 150 m/s. The height of the rocket can be modelled by h = -5t^2 + 150t, where h is the height in metres and t is the elapsed time in seconds. What is the maximum height reached by the rocket?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 5CT: Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where...

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Question

A model rocket is launched straight up, with an initial velocity of 150 m/s. The height of the rocket can be modelled by
h = -5t^2 + 150t, where h is the height in metres and t is the elapsed time in seconds. What is the maximum height reached by the rocket?

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