The kinetic energy acquired by a mass m in travelling a certain distance d, starting from rest, under the action of a force F such that the force F is directly proportional to t is

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Directly proportional to t2

Independent of t

Directly proportional to t4

Directly proportional to t

answer is C.

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Detailed Solution

f=ktm∫0v dv=k∫0t tdtmv=kt2v=kmt2KE=12mv2=12mk2m2t4=k22mt4KE∝t4

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