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The position vector of a moving body at any instant of time is given as \(\vec{r}=\left(5{t}^{2}\overset{^}{ı}-5t\overse…

Q1

The position vector of a moving body at any instant of time is given as \(\vec{r}=\left(5{t}^{2}\overset{^}{ı}-5t\overset{^}{ȷ}\right)m\). The magnitude and direction of velocity at t = 2 s is,

a

\(5\sqrt{17}m/s\), making an angle of \({\tan }^{-1}4\) with - ve Y axis

b

\(5\sqrt{15}m/s\), making an angle of \({\tan }^{-1}4\) with - ve Y axis

c

\(5\sqrt{17}m/s\), making an angle of \({\tan }^{-1}4\) with + ve X axis

d

\(5\sqrt{15}m/s\), making an angle of \({\tan }^{-1}4\) with + ve X axis

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