2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function: h(t) = -16t + 100t +3, where h(t) represents the height of the rocket after t seconds. a) If the firework explodes at its highest point, how high will it be?

Algebra and Trigonometry (6th Edition)
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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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2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function:
h(t) = -16t + 1o0t + 3, where h(t) represents the height of the rocket after t seconds.
a) If the firework explodes at its highest point, how high will it be?
b) In designing a firework show for the city, it is important to time the explosions. How long would it take this
firework to reach the height it explodes at assuming it detonates at its highest point?
c) The firework malfunctioned and detonates at a height of 130ft. How many seconds after its launch did this
happen? Explain your reasoning.
d) There are a small percentage of fireworks that are duds and launch but do not detonate at all. If this
happens, how long would it take for the firework shell to come back to the ground?
Transcribed Image Text:2 The path of the fireworks shot off in Milwaukee on 4" of July can be modeled by the function: h(t) = -16t + 1o0t + 3, where h(t) represents the height of the rocket after t seconds. a) If the firework explodes at its highest point, how high will it be? b) In designing a firework show for the city, it is important to time the explosions. How long would it take this firework to reach the height it explodes at assuming it detonates at its highest point? c) The firework malfunctioned and detonates at a height of 130ft. How many seconds after its launch did this happen? Explain your reasoning. d) There are a small percentage of fireworks that are duds and launch but do not detonate at all. If this happens, how long would it take for the firework shell to come back to the ground?
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