3. The air resistance of a free falling body with mass m is assumed to be proportional to its current speed v: Fs = cv, where c is a coefficient of proportionality. a) Describe the dependence of the speed with time v(t) if at time t=0, the speed is zero v(0) = 0. b) If m=20kg and c=2.4, calculate the speed of the free falling body at t=8s.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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3. The air resistance of a free falling body with mass m is assumed to be proportional to its
current speed v: F = cv, where c is a coefficient of proportionality.
a) Describe the dependence of the speed with time v(t) if at time t=0, the speed is zero
v(0) = 0.
b) If m=20kg and c=2.4, calculate the speed of the free falling body at t=8s.
Transcribed Image Text:3. The air resistance of a free falling body with mass m is assumed to be proportional to its current speed v: F = cv, where c is a coefficient of proportionality. a) Describe the dependence of the speed with time v(t) if at time t=0, the speed is zero v(0) = 0. b) If m=20kg and c=2.4, calculate the speed of the free falling body at t=8s.
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