A student is deriving the relation for a body of constant mass

PHYSICS · Single correct · CBSE · Physics · Force and Laws of Motion · Force and Laws of Motion

Problem

A student is deriving the relation F=maF = ma for a body of constant mass. Starting with F=ΔpΔtF = \dfrac{\Delta p}{\Delta t}, the student writes (i) Δp=m(v−u)\Delta p = m(v - u) (ii) F=m(v−u)tF = \dfrac{m(v - u)}{t} (iii) ______ Which of the following should be written in blank (iii) so that the derivation is logically completed? (a) a=u−vta = \dfrac{u - v}{t} (b) a=2 (v−u)ta = \dfrac{2\,(v - u)}{t} (c) a=v−uta = \dfrac{v - u}{t} (d) a=v−u2ta = \dfrac{v - u}{2t}

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