A child drops a toy with a mass of 200 g from the balcony of a building 20 m as tall as he is, vertically starting from rest. Assume that the force of air resistance is proportional to the instantaneous speed of the toy, which takes 3 s to hit the ground. If the acceleration due to gravity is 9.8 m/s2 (a) Write a differential equation and the conditions to determine the position of the toy in any instant t. (b) Determine the equation of motion of the toy. (c) Find the limit speed of the toy.
A child drops a toy with a mass of 200 g from the balcony of a building 20 m as tall as he is, vertically starting from rest. Assume that the force of air resistance is proportional to the instantaneous speed of the toy, which takes 3 s to hit the ground. If the acceleration due to gravity is 9.8 m/s2 (a) Write a differential equation and the conditions to determine the position of the toy in any instant t. (b) Determine the equation of motion of the toy. (c) Find the limit speed of the toy.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![A child drops a toy with a mass of 200 g from the balcony of a building 20 m as
tall as he is, vertically starting from rest. Assume that the force of air resistance
is proportional to the instantaneous speed of the toy, which takes 3 s to hit the
ground. If the acceleration due to gravity is 9.8 m/s2
(a) Write a differential equation and the conditions to determine the position of
the toy in any instant t.
(b) Determine the equation of motion of the toy.
(c) Find the limit speed of the toy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ff41970-21ca-4ca1-922c-bdce1464a6fc%2F7480d5cd-4ced-41f2-b7dc-d4c2805b1cd0%2Fjedrwjg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A child drops a toy with a mass of 200 g from the balcony of a building 20 m as
tall as he is, vertically starting from rest. Assume that the force of air resistance
is proportional to the instantaneous speed of the toy, which takes 3 s to hit the
ground. If the acceleration due to gravity is 9.8 m/s2
(a) Write a differential equation and the conditions to determine the position of
the toy in any instant t.
(b) Determine the equation of motion of the toy.
(c) Find the limit speed of the toy.
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