A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du dt 1. Using the change of variables = V dv dx , find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. v(x) = 2. Calculate the distance travelled by the particle before coming to a stop. x =

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Chapter1: Units, Trigonometry. And Vectors
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A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0.
du
1. Using the change of variables = V find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m.
7
dx
v(x) =
ASP
dv
dt
2. Calculate the distance travelled by the particle before coming to a stop.
Transcribed Image Text:A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du 1. Using the change of variables = V find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. 7 dx v(x) = ASP dv dt 2. Calculate the distance travelled by the particle before coming to a stop.
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