A-particle-Q-moves-in-a-plane-and-its-polar-coordinate-r-are-described-by-r-at-2-and-1-3-t-4-find-its-speed-at-t-2s-

Question Number 99962 by Rio Michael last updated on 24/Jun/20

A particle Q moves in a plane and its polar coordinate (r, θ)

are described by r = {a t}^{2} and θ = \frac{1}{3} t^{4} find its

speed at t = 2 s

Answered by smridha last updated on 24/Jun/20

\vec{v} = \overset{∙}{r} \hat{r} + r \overset{∙}{θ} \hat{θ} = 2 a t \hat{r} + \frac{4}{3} {a t}^{5} \hat{θ}

\vec{v} = {[\frac{d \vec{r}}{d t}]}_{t = 2} = 4 a \hat{r} + \frac{128}{3} a \hat{θ}

Commented by Rio Michael last updated on 24/Jun/20

thank your sir .

Commented by smridha last updated on 24/Jun/20

w e l c o m e

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