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Q.

A particle is moving in xy-plane with y=x/2 and vx=42t. Choose the correct options.

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a

Motion is first retarded, then accelerated. 

b

Initial velocities in x and y directions are positive. 

c

Initial velocities in x and y directions are negative. 

d

Motion is first accelerated, then retarded.

answer is B, C.

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Detailed Solution

y=x2 implies 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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