A body starts from rest with uniform acceleration and acquires a velocity V in time T. The instantaneous kinetic energy of the body the body in time t is proportional to

Q: A body starts from rest with uniform acceleration and acquires a velocity V in time T. The instantaneous kinetic energy of the body the body in time t is proportional to:
(A) (V/T)t
(B) (V2/T)t2
(C) (V2/T2)t
(D) (V2/T2)t2

Solution : KE = (1/2) mv2
= (m/2) (at)2
= (m/2) (Vt/T)2      (Since a= Δv/Δt = V/T)
Hence , K.E ∝ V2t2/T2

Author: Rajesh Jha

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