Show all working explaining detailly each stepAnswer should be typewritten using a computer keyboard! a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiencesan upward resistance kv where v is its speed and k is a positive constant.dvProve that after time t from the opening of its parachute, m= mg - kv.dtProve that irrespective of his speed when he opens his parachute, his speed approaches a limitingvalue of mgprovided he falls for sufficiently longtime.kThe parachutist falls freely from rest under gravity for a time and then opens his parachute. Provem2kthat the total distance he has fallen when his velocity ism2g3mmgis(8ln2 - 1)m.4k8k2

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a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. Prove that after time t from the opening of its parachute, m dv = mg - kv. dt Prove that irrespective of his speed when he opens his parachute, his speed approaches a limiting value of mg provided he falls for sufficiently longtime. k m The parachutist falls freely from rest under gravity for a time and then opens his parachute. Prove 2k that the total distance he has fallen when his velocity is 3mg m2g (8ln2- 1)m. is 4k 8k2

a) A parachutist of mass mkg falls freely until his parachute is opened when it is opened, it experiences an upward resistance kv where v is its speed and k is a positive constant. Prove that after time t from the opening of its parachute, m dv = mg - kv. dt Prove that irrespective of his speed when he opens his parachute, his speed approaches a limiting value of mg provided he falls for sufficiently longtime. k m The parachutist falls freely from rest under gravity for a time and then opens his parachute. Prove 2k that the total distance he has fallen when his velocity is 3mg m2g (8ln2- 1)m. is 4k 8k2

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.34P: A particle is released from rest (y = 0) and falls under the influence of gravity and air...

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