JEE Main & Advanced
Physics
Vectors
Question Bank
Addition and Subtraction of Vectors
question_answer
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 [Manipal 2003]
A) \[{{\tan }^{-1}}(2)\]
B) \[{{\tan }^{-1}}(1/2)\]
C) 45°
D) 0°
Correct Answer:
A
Solution :
\[{{v}_{y}}=20\] and \[{{v}_{x}}=10\] \[\therefore \] velocity \[\vec{v}=10\hat{i}+20\hat{j}\] direction of velocity with x axis \[\tan \theta =\frac{{{v}_{y}}}{{{v}_{x}}}=\frac{20}{10}=2\] \[\therefore \] \[\theta ={{\tan }^{-1}}(2)\]