How do you solve this? A particle of mass m is moving in the +x direction, and is subject to a force in the x direction of Fx(v) = -bv2 , where b is a constant and v is the particle's speed. If the initial position (at time t = 0) is zero, and the intial speed is v0 , find x(t).

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Circular Motion And Other Applications Of Newton's Laws
Section: Chapter Questions
Problem 46CP: For t 0, an object of mass m experiences no force and moves in the positive x direction with a...
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A particle of mass m is moving in the +x direction, and is subject to a force in the x direction of Fx(v) = -bv2 , where b is a constant and v is the particle's speed. If the initial position (at time t = 0) is zero, and the intial speed is v0 , find x(t). 

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