23. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h(t) = -16t2 + 64t + 80, where h is in feet and t is in seconds. (a) How long will it take for the rocket to hit 128 feet? (b) After how many seconds after it is launched will the rocket hit the lake?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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152
HOMEWORK: SOLVING EQUATIONS BY FACTORING
C. Answer the following.
23. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after
exploding at its maximum height. The rocket's height above the surface of the lake is given by
h(t) = -16t² + 64t + 80, where h is in feet and t is in seconds.
(a) How long will it take for the rocket to hit 128 feet?
(b) After how many seconds after it is launched will the rocket hit the lake?
Transcribed Image Text:152 HOMEWORK: SOLVING EQUATIONS BY FACTORING C. Answer the following. 23. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h(t) = -16t² + 64t + 80, where h is in feet and t is in seconds. (a) How long will it take for the rocket to hit 128 feet? (b) After how many seconds after it is launched will the rocket hit the lake?
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