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The velocity vector of the motion described by the position vector of a particle $r = 2 t \hat{i} + t^{2} \hat{j}$ is given by

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v = 2i^+2tj^

v = 2t i^+2t j^

v = t i^+t2 j^

v = 2 i^+t2 j^

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detailed solution

Correct option is A

Given, r=2ti^+t2j^Velocity vector, v=drdt and using ddxxn=nxn-1We have, v=drdt =2i⏞ + 2tj⏞

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The velocity vector of the motion described by the position vector of a particle r=2ti^+t2j^ is given by

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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The velocity vector of the motion described by the position vector of a particle $r = 2 t \hat{i} + t^{2} \hat{j}$ is given by