A rock is thrown upward from the top of a 144-foot high cliff overlooking the ocean at a speed of 128 feet per second. The rock’s height above ocean can be modeled by the equation H(t)=−16t2+128t+144. a. When does the rock reach the maximum height? b. What is the maximum height of the rock? c. When does the rock hit the ocean?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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A rock is thrown upward from the top of a 144-foot high cliff overlooking the ocean at a speed of 128 feet per second. The rock’s height above ocean can be modeled by the equation H(t)=−16t2+128t+144.

a. When does the rock reach the maximum height?

b. What is the maximum height of the rock?

c. When does the rock hit the ocean?

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