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On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial velocity of 2.6 m/s from 8 meters above the surface of the moon. Let x (t) = the height of the ball at t seconds a) Write the second order differential equation that models this situation. b) Solve part a. c) Use your answer for part b to write the first order differential equation that models this situation. d) Solve part b to find x (t).

On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial velocity of 2.6 m/s from 8 meters above the surface of the moon. Let x (t) = the height of the ball at t seconds a) Write the second order differential equation that models this situation. b) Solve part a. c) Use your answer for part b to write the first order differential equation that models this situation. d) Solve part b to find x (t).

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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On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial velocity of 2.6 m/s from 8 meters above the surface of the moon. Let x (t) = the height of the ball at t seconds a) Write the second order differential equation that models this situation. b) Solve part a. c) Use your answer for part b to write the first order differential equation that models this situation. d) Solve part b to find x (t).
Transcribed Image Text:On the moon the acceleration due to gravity is 1.4 m/s2. A ball is thrown straight up at an initial velocity of 2.6 m/s from 8 meters above the surface of the moon. Let x (t) = the height of the ball at t seconds a) Write the second order differential equation that models this situation. b) Solve part a. c) Use your answer for part b to write the first order differential equation that models this situation. d) Solve part b to find x (t).
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