The position vector r^{\to} of a particle of mass m is given by the following equation r^{\to}(t)=\alphat^3i^{∧}+\betat^2j^{∧}, where \alpha=10/3ms^{-3},\beta=5ms^{-2} and m=0.1 kg At t=1s, which of the following statement(s) is(are) true about the particle? [JEE Adv 2016 P1]

The velocity v^{\to} is given by v^{\to}=(10i^{∧}+10j^{∧})ms^{-1}

The angular momentum L^{\to} with respect to the origin is given by L^{\to}=-(5/3)k^{∧} Nms

The force F^{\to} is given by F^{\to}=(i^{∧}+2j^{∧})N

The torque \tau^{\to} with respect to the origin is given by \tau^{\to}-(20/3)k^{∧} Nm

JEE Advanced 2016 Paper 1

Section: Physics

Question : 12 of 54

Marks: +1, -0

The position vector

→

of a particle of mass m is given by the following equation

→

(t)=αt3

∧

+βt2

∧

, where α=

ms−3,β=5ms−2 and m=0.1 kg At t=1s, which of the following statement(s) is(are) true about the particle?

[JEE Adv 2016 P1]

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