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Q.

The position vector r of a particle of mass m is given by the following equation r(t)=αt3i^+βt2j^, where α=103ms3,β=5ms2  and m=0.1kg  . At t=1s , which of the following statement(s) is/are true about the particle?

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a

The velocity v is given by  (10i+10j)m/sec

b

The angular momentum  L with respect to the origin given by  L=(53)k^Nms

c

The force F is given by  F=(i^+2j^)N

d

The torque τ  with respect to the origin is given by  τ=(203)k^Nm

answer is A, B, D.

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The position vector r of a particle of mass m is given by the following equation r(t)=αt3i^+βt2j^, where α=103ms−3,β=5 ms−2  and m=0.1kg  . At t=1s , which of the following statement(s) is/are true about the particle?