Answered: Scenario The height, in feet, of an…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter7: Exponents And Exponential Functions

Section7.7: Writing Exponential Functions

Problem 5GP

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Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Create the equation for the height of the rocket after t seconds.

Part 2: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.

Part 3: Find the time it takes to reach the top of its trajectory.

Part 4: Find the maximum height.

Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

Assessment Instructions
Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted
using the equation editor.
Part 1: Create the equation for the height of the rocket after t seconds.
Part 2: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.
Part 3: Find the time it takes to reach the top of its trajectory.
Part 4: Find the maximum height.
Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

Scenario
The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by
the formula:
h = - 16t2 + v̟t
Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of
352 feet per second. Use the graph below to help answer the questions.
H
Highest
Point
Starting
Landing
Point
Point
Time in Seconds
Height in Feet

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Follow-up Question

Scenario The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula: h = - 16t2 + v̟t Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 352 feet per second.

Part 4: Find the maximum height. Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

Solution