A particle of mass, m, is projected from an initial height of x。 in a vertical direction with initial velocity vo. It is subject to a downwards gravitational force of magnitude mg and a force proportional to its speed, mkv (k>0), resisting its motion. a) Write equation of motion of the particle for its upwards and downwards motion. b) What is the value of V₁, the terminal velocity, of the particle? c) Find the position as a function of time in terms of VT.
A particle of mass, m, is projected from an initial height of x。 in a vertical direction with initial velocity vo. It is subject to a downwards gravitational force of magnitude mg and a force proportional to its speed, mkv (k>0), resisting its motion. a) Write equation of motion of the particle for its upwards and downwards motion. b) What is the value of V₁, the terminal velocity, of the particle? c) Find the position as a function of time in terms of VT.
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Transcribed Image Text:A particle of mass, m, is projected from an initial height of x。 in a vertical direction with initial velocity vo.
It is subject to a downwards gravitational force of magnitude mg and a force proportional to its speed,
mkv (k > 0), resisting its motion.
a) Write equation of motion of the particle for its upwards and downwards motion.
b) What is the value of V₁, the terminal velocity, of the particle?
c) Find the position as a function of time in terms of V₁.
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