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The position of a particle varies with time as \(\vec{r}=\left(5 t^2 \hat{\imath}-5 t \hat{\jmath}\right) \mathrm{m}\). …

Q1

The position of a particle varies with time as \(\vec{r}=\left(5 t^2 \hat{\imath}-5 t \hat{\jmath}\right) \mathrm{m}\). The magnitude and direction of velocity at \(t=\frac{1}{2} \mathrm{~s}\) is

a

\(5 \sqrt{2} \mathrm{~m} / \mathrm{s},-45^{\circ}\) with +X axis

b

\(5 \mathrm{~m} / \mathrm{s},-45^{\circ}\) with +X axis

c

\(5 \sqrt{2} \mathrm{~m} / \mathrm{s},-45^{\circ}\) with +Y axis

d

\(5 \mathrm{~m} / \mathrm{s},+45^{\circ}\) with +Y axis

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