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.

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Description: A child drops a toy with a mass of 200 g from the balcony of a building 20 m astall as he is, vertically starting from rest. Assume that the force of air resistanceis proportional to the instantaneous speed of the toy, which takes 3 s to hit thegrou

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 67P: Calculate the displacement and velocity at times of (a) 0.500 s, (b) 1.00 s, (c) 1.50 s. (d) 2.00 s,...

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