Velocity (magnitude and direction) from a position or velocity vector given in time

1. A.
   $\tan^{- 1}\left( \frac{2}{3} \right)$ from $x$-axis
2. B.
   $\tan^{- 1}\left( \frac{2}{3} \right)$ from $y$-axis
3. C.
   $\tan^{- 1}\left( \frac{5}{2} \right)$ from $y$-axis
4. D.
   $\tan^{- 1}\left( \frac{5}{2} \right)$ from $x$-axis

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1. A.
   $16\text{ }m/s$ in $y$-direction
2. B.
   $4\text{ }m/s$ in $x$-direction
3. C.
   $9\text{ }m/s$ in $z$-direction
4. D.
   $4\text{ }m/s$ in $y$-direction

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1. A.
   $5\sqrt{15}\text{ }m/s$, making an angle of $\tan^{- 1}4$ with -ve Y axis
2. B.
   $5\sqrt{15}\text{ }m/s$, making an angle of $\tan^{- 1}4$ with +ve X axis
3. C.
   $5\sqrt{17}\text{ }m/s$, making an angle of $\tan^{- 1}4$ with -ve Y axis
4. D.
   $5\sqrt{17}\text{ }m/s$, making an angle of $\tan^{- 1}4$ with +ve X axis

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1. A.
   60
2. B.
   45
3. C.
   30
4. D.
   75

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