When an object travels through a resistive medium, the rate at which it loses speed at any given instant is given by kv ms-2, where v is the speed of the body at that instant and k is a positive constant. If the initial speed is u ms-1, show by formulating and solving an appropriate differential equation that the time taken for the body to decrease its speed to u ms-1 is In 2 seconds.

College Physics
11th Edition
ISBN:9781305952300
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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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When an object travels through a resistive medium, the rate at which it loses
speed at any given instant is given by kv ms-2, where v is the speed of the
body at that instant and k is a positive constant.
If the initial speed is u ms-1, show by formulating and solving an appropriate
differential equation that the time taken for the body to decrease its speed to
u ms-1 is In 2 seconds.
Transcribed Image Text:EOL3 When an object travels through a resistive medium, the rate at which it loses speed at any given instant is given by kv ms-2, where v is the speed of the body at that instant and k is a positive constant. If the initial speed is u ms-1, show by formulating and solving an appropriate differential equation that the time taken for the body to decrease its speed to u ms-1 is In 2 seconds.
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