The velocity of a body of mass 2 kg as a function of t is given by 2tȋ+t²ĵ. Find the momentum and the force acting on it, at time t= 2s.

<p><span lang="EN-IN">This is a Short Answer type Questions as classified in NCERT Exemplar</span></p><p><strong><span lang="EN-IN">Explantion -</span></strong><span lang="EN-IN"> &nbsp;given mass of the body = 2kg</span></p><p><span lang="EN-IN">Velocity of the body = 2t? +t²? </span></p><p><span lang="EN-IN">Velocity of body at t=2s</span></p><p><span lang="EN-IN">V= 2<span contenteditable="false"> <math> <mo>×</mo> <mn>2</mn> </math> </span></span><span lang="EN-IN">? +2²? = 4? +4? </span></p><p><span lang="EN-IN">Momentum of body =mv = 2 (4? +4? )= 8? +8? kgm/s</span></p><p><span lang="EN-IN">Acceleration a= dv/dt</span></p><p><span lang="EN-IN">= d/dt (</span><span lang="EN-IN">2t? +t²? </span><span lang="EN-IN">)= 2? +2t? </span></p><p><span lang="EN-IN">At t=2s, a= (2i+2 (2)j)= 2? +4? </span></p><p><span lang="EN-IN">Force acting on the body F=ma</span></p><p><span lang="EN-IN">=2 (2? +4? )</span></p><p><span lang="EN-IN">= 4? +8? N </span></p>

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