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Q.

A particle is moving in xy-plane with y = x/2 and vx = 4 - 2t, Choose the correct options.

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a

Motion is first accelerated, then retarded. 

b

Motion is first retarded, then accelerated. 

c

Initial velocities in x and y directions are positive. 

d

Initial velocities in x and y directions are negative. 

answer is B, C.

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Detailed Solution

y=x2implies that the particle is moving in a straight line passing through the origin. 

         vx=42t,vx=ux+axt,         ux=4,ax=2Now,  y=x2  dydt=12dxdt         vy=12vx=2t,vy=uy+ayt,         uy=2  and  ay=1

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