Question

7. The initial velocity of a particle (at t = 0) is u and the acceleration f of particle at time t is given by f = at. Where a is a constant which of the following relation for velocity v of particle after time t is true? (1) v = u + at? (2)v = u + at2/2 (3) v = u + at (4) none of these

NEET/Medical Exams

Physics

Solution

155

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acen ( =f=a t=frac{d v}{d r} ), inchal worky ( =u ) fund velruty ( =v ) ( frac{d v}{d t}=a t ) ( d v=a t d t ) Inleyrating both sides ( int_{u}^{v} d v=int_{0}^{t} d t d t ) Ansmer ( v-u=frac{a t^{2}}{2}+c )