66. Height of a Toy Rocket A toy rocket is launched from the top of a building 50 feet tall at an initial velocity of 200 feet per second. Let t represent the amount of time elapsed after the launch. (a) Express the height s as a function of the time t. (b) Determine both analytically and graphically the time at which the rocket reaches its highest point. How high will it be at that time? (c) For what time interval will the rocket be more than 300 feet above ground level? Determine the answer graphically, and give times to the nearest tenth of a second. (d) After how many seconds will the rocket hit the ground? Determine the answer graphically.

66. Height of a Toy Rocket A toy rocket is launched from the top of a building 50 feet tall at an initial velocity of 200 feet per second. Let t represent the amount of time elapsed after the launch. (a) Express the height s as a function of the time t. (b) Determine both analytically and graphically the time at which the rocket reaches its highest point. How high will it be at that time? (c) For what time interval will the rocket be more than 300 feet above ground level? Determine the answer graphically, and give times to the nearest tenth of a second. (d) After how many seconds will the rocket hit the ground? Determine the answer graphically.

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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Question

I need help answering all components of question #66 a-d.

Please note that this is not graded work. I obtained this question from an old text book to help me practice problem sets. Do let me know if you have additional questions.

66. Height of a Toy Rocket A toy rocket is launched from
the top of a building 50 feet tall at an initial velocity of
200 feet per second. Let t represent the amount of time
elapsed after the launch.
(a) Express the height s as a function of the time t.
(b) Determine both analytically and graphically the time
at which the rocket reaches its highest point. How
high will it be at that time?
(c) For what time interval will the rocket be more than
300 feet above ground level? Determine the answer
graphically, and give times to the nearest tenth of a
second.
(d) After how many seconds will the rocket hit the ground?
Determine the answer graphically.

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