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A rocket is launched s(1) = -16r + 40 in meters.

A rocket is launched s(1) = -16r + 40 in meters.

Calculus: Early Transcendentals
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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(6) A rocket is launched vertically from a raised launchpad. Its position is given by the function s(t) = -161 + 404 + 3, where t is measured in seconds and s(t) is the height of the rocket in meters. (a) What is s(0)? What does it mean in context of the situation? Use units in your answer. (b) Find a formula for the velocity of the rocket v(t). (e) What is v(1)? What does it mean in context of the situation? Use units in your answer. (d) What is v(2)? What does it mean in context of the situation? Use units in your answer. (e) What what time does the rocket reach its maximum height? (f) Find a formula for the acceleration of the rocket a(t). What do you notice about your answer?
Transcribed Image Text:(6) A rocket is launched vertically from a raised launchpad. Its position is given by the function s(t) = -161 + 404 + 3, where t is measured in seconds and s(t) is the height of the rocket in meters. (a) What is s(0)? What does it mean in context of the situation? Use units in your answer. (b) Find a formula for the velocity of the rocket v(t). (e) What is v(1)? What does it mean in context of the situation? Use units in your answer. (d) What is v(2)? What does it mean in context of the situation? Use units in your answer. (e) What what time does the rocket reach its maximum height? (f) Find a formula for the acceleration of the rocket a(t). What do you notice about your answer?
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