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Q.

A particle moves along the curve y=x22 , here x varies with time as  x=t22 . Where x and y are measured in metre and t in second. At t=2s. The velocity of the particle in m/s is  

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a

2i^+4j^

b

4i^-2j^

c

4i^+2j^

d

2i^-4j^

answer is C.

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Detailed Solution

displacement along x axis x= t22   vleocity along x  vx=2t2 =t displacement alon y axis  y =x22=t48   velocity along y axis vy= 4t38=t32 at t= 2 sec vx=2 and vy= 4

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