A toy rocket is shot vertically into the air from a 8-foot-tall launching pad with an initial velocity of 64 feet per second. Suppose the height of the rocket in feet t seconds after being launched can be modeled by the function h(t) = − 16t² + vt + ho, where vo is the initial velocity of the rocket and he is the initial height of the rocket. How long will it take for the rocket to reach its maximum height? What is the maximum height? The rocket will reach its maximum height in 2 second(s). The maximum height reached by the rocket is feet.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A toy rocket is shot vertically into the air from a 8-foot-tall launching pad with an initial velocity of 64 feet per second.
Suppose the height of the rocket in feet t seconds after being launched can be modeled by the function
h(t) = - 16t²
+ vot + ho, where vo is the initial velocity of the rocket and ho is the initial height of the rocket. How long
will it take for the rocket to reach its maximum height? What is the maximum height?
The rocket will reach its maximum height in 2 second(s).
The maximum height reached by the rocket is
feet.
Transcribed Image Text:A toy rocket is shot vertically into the air from a 8-foot-tall launching pad with an initial velocity of 64 feet per second. Suppose the height of the rocket in feet t seconds after being launched can be modeled by the function h(t) = - 16t² + vot + ho, where vo is the initial velocity of the rocket and ho is the initial height of the rocket. How long will it take for the rocket to reach its maximum height? What is the maximum height? The rocket will reach its maximum height in 2 second(s). The maximum height reached by the rocket is feet.
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