Q2. 1) A particle of mass m is released vertically downwards from rest from a moor balloon located at a height H. The ma

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Q2 1 A Particle Of Mass M Is Released Vertically Downwards From Rest From A Moor Balloon Located At A Height H The Ma 1 (43.44 KiB) Viewed 17 times

Q2. 1) A particle of mass m is released vertically downwards from rest from a moor balloon located at a height H. The mass is subject to the air resistance of coefficient k per unit of mass (k > 0). (a) Using the Newton's second law, show that the equation of motion satisfied by the particle is # + kż=-g where is the vertical position along a unit vector i vertically upwards. (b) Solve the second order differential equation. [14 marks] 2) Properties of the motion. (a) Find the expression of the air resistance coefficient assuming that the terminal speed is reach quickly after the release of the particle. (b) Find the descent time. [6 marks] [Total: 20 marks]