Question

y component of velocity is 20 and x component of velocity is 10. The direction of motion of the body with the horizontal at this instant is

• A. $\tan^{- 1}(2)$
• B. $\tan^{- 1}(1/2)$
• C. 45°
• D. 0°

Answer 1

Answer: (A)

$\tan^{- 1}(2)$

Answer 2

$v_{y} = 20$ and $v_{x} = 10$

$\therefore$ Velocity $\overrightarrow{v} = 10\widehat{i} + 20\widehat{j}$

Direction of velocity with x axis

$\tan\theta = \frac{v_{y}}{v_{x}} = \frac{20}{10} = 2$

$\therefore$ $\theta = \tan^{- 1}(2)$