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Basics & Laboratory

Quick practice

Question 1 of 5

A particle moving with a velocity \mathrm{v}=(2 \mathrm{t}+1) \hat{\mathrm{i}}+\left(4 \mathrm{t}^{3}\right) \hat{\mathrm{j}}. Find the equation of trajectory of the particle if the particle starts from the origin.

A

\mathrm{y}=\sqrt{\mathrm{x}}+\mathrm{x}

B

\mathrm{x}^{\mathrm{2}}=\mathrm{y}+\sqrt{\mathrm{y}}

C

\mathrm{x=\sqrt{y}+y^{1 / 4}}

D

\mathrm{x}=\mathrm{y}+\sqrt{\mathrm{y}}

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