A particle of mass 2m is projected under gravity with speed uo, at an angle 0 to the horizontal, from a point on the ground, at time t = 0. If the air resistance to the motion of the particle is -Amv² ( > 0) where v is the velocity of the particle, then after a time t, find the horizontal distance moved by the particle. Find also that of the vertical component of the velocity of the particle. Find the maximum height attained by the particle and the time taken by the particle to reach this height.

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A particle of mass 2m is projected under gravity with speed u, at an angle 0 to the
horizontal, from a point on the ground, at time t = 0. If the air resistance to the
motion of the particle is -Amv2 (1 > 0) where v is the velocity of the particle, then
after a time t, find the horizontal distance moved by the particle. Find also that of the
vertical component of the velocity of the particle. Find the maximum height attained
by the particle and the time taken by the particle to reach this height.
Transcribed Image Text:A particle of mass 2m is projected under gravity with speed u, at an angle 0 to the horizontal, from a point on the ground, at time t = 0. If the air resistance to the motion of the particle is -Amv2 (1 > 0) where v is the velocity of the particle, then after a time t, find the horizontal distance moved by the particle. Find also that of the vertical component of the velocity of the particle. Find the maximum height attained by the particle and the time taken by the particle to reach this height.
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