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 thisfirework 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 thishappen? Explain your reasoning.d) There are a small percentage of fireworks that are duds and launch but do not detonate at all. If thishappens, how long would it take for the firework shell to come back to the ground?

The modeled function of the height of the firework is ht=-16t2+100t+3

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?

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)

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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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

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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