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**Unformatted text preview: **a) Air resistance is neglected. b) The force of air resistance is F air = αv where v is the instantaneous speed. The direction of the force of air resistance is to oppose the motion of the ball through the air. c) The force of air resistance is F air = βv 2 . d) Graph the velocity versus time and distance versus time in all three cases. Compare and discuss the results. 3) (10 points) Find the velocity ˙ x and the position x as a function of time t for a particle of mass m which starts at rest at x = 0 at t = 0, subject to the following force functions ( F and c are constant real numbers): a) F x = F + ct b) F x = F e ct For the following two cases, ﬁnd the velocity ˙ x as a function of the position x for a particle of mass m which starts from rest at x = 0 and t = 0, subject to the following force functions. c) F x = F + cx d) F x = F e-cx 40 Points Total...

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