For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed v,. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet - - mkv? î, where k is a constant. The speed of the object after t = 0 is given by v = v;/(1 + kv,t). (a) Find the position x of the object as a function of time. (b) Find the object's velocity as a function of position.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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For t < 0, an object of mass m experiences no force and
moves in the positive x direction with a constant speed v,.
Beginning at t = 0, when the object passes position x = 0, it
experiences a net resistive force proportional to the square
of its speed: Fnet - - mkv? î, where k is a constant. The
speed of the object after t = 0 is given by v = v;/(1 + kv,t).
(a) Find the position x of the object as a function of time.
(b) Find the object's velocity as a function of position.
Transcribed Image Text:For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed v,. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet - - mkv? î, where k is a constant. The speed of the object after t = 0 is given by v = v;/(1 + kv,t). (a) Find the position x of the object as a function of time. (b) Find the object's velocity as a function of position.
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