A velocity field is given by (vec{V}=a x t hat{i}-b y hat{j}), where (A=0.1 mathrm{~s}^{-2}) and (b=1

Question:

A velocity field is given by $\vec{V}=a x t \hat{i}-b y \hat{j}$, where $A=0.1 \mathrm{~s}^{-2}$ and $b=1 \mathrm{~s}^{-1}$. For the particle that passes through the point $(x, y)=(1,1)$ at instant $t=0 \mathrm{~s}$, plot the pathline during the interval from $t=0$ to $t=3 \mathrm{~s}$. Compare with the streamlines plotted through the same point at the instants $t=0,1$, and $2 \mathrm{~s}$.

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