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5.1 Exercise 20

Avg difficulty 2.5

A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed of 96 feet per second. The rock’s height above ocean can be modeled by the equation H(t)=−16 t 2 +96t+112. H \left(t\right) = −16 t^{2} + 96 t + 112.

  1. ⓐWhen does the rock reach the maximum height?
  2. ⓑWhat is the maximum height of the rock?
  3. ⓒWhen does the rock hit the ocean?

OpenStax Algebra and Trigonometry 2e, 5.1 Quadratic Functions, exercise 20

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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.