(a) Consider a particle of mass m projected upward with a velocity vo from the ground (taken to be z-0). Starting from Newton's Law, and assuming that the only forces acting on the particle are the gravitational force and a resistance force proportional to the magnitude of the velocity (acting in the opposite direction, proportionality constant a), find how the velocity of the particle changes with time. Analyze the behaviour of the particle. fliquid ctorting from rest

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1. (a) Consider a particle of mass m projected upward with a velocity Vo from the
ground (taken to be z=0). Starting from Newton's Law, and assuming that the
only forces acting on the particle are the gravitational force and a resistance
force proportional to the magnitude of the velocity (acting in the opposite
direction, proportionality constant a), find how the velocity of the particle
changes with time. Analyze the behaviour of the particle.
(b) Consider a particle falling in a long column of liquid starting from rest,
subject to the same forces. How does the velocity of the particle change with
time? Analyze the behaviour of the particle.
Transcribed Image Text:1. (a) Consider a particle of mass m projected upward with a velocity Vo from the ground (taken to be z=0). Starting from Newton's Law, and assuming that the only forces acting on the particle are the gravitational force and a resistance force proportional to the magnitude of the velocity (acting in the opposite direction, proportionality constant a), find how the velocity of the particle changes with time. Analyze the behaviour of the particle. (b) Consider a particle falling in a long column of liquid starting from rest, subject to the same forces. How does the velocity of the particle change with time? Analyze the behaviour of the particle.
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