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3.8 Exercise 70

Avg difficulty 2.5

Determine the function described and then use it to answer the question.

An object dropped from a height of 200 meters has a height, h( t ), h \left(t\right) , in meters after t t seconds have lapsed, such that h(t)=200−4.9 t 2 . h \left(t\right) = 200 - 4.9 t^{2} . Express t t as a function of height, h, h , and find the time to reach a height of 50 meters.

OpenStax Precalculus 2e, 3.8 Inverses and Radical Functions, exercise 70

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.