A raindrop has a mass of g and it experiences a wind resistance force of 30,000 N per meter per second of velocity. (a) Write a differential equation for the velocity of this raindrop as it falls. (b) Solve the differential equation in (a) to find an equation for the velocity of the raindrop at time t. (c) Find a specific equation for the velocity of the raindrop if the initial velocity is v(0) = 0. (d) What is the terminal velocity of the raindrop? (the velocity of the raindrop as t→∞).

A raindrop has a mass of g and it experiences a wind resistance force of 30,000 N per meter per second of velocity. (a) Write a differential equation for the velocity of this raindrop as it falls. (b) Solve the differential equation in (a) to find an equation for the velocity of the raindrop at time t. (c) Find a specific equation for the velocity of the raindrop if the initial velocity is v(0) = 0. (d) What is the terminal velocity of the raindrop? (the velocity of the raindrop as t→∞).

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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