Kinematics Question 37
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 [Manipal 2003]
Options:
A) $ {{\tan }^{-1}}(2) $
B) $ {{\tan }^{-1}}(1/2) $
C) 45°
D) 0°
Show Answer
Answer:
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) $
BETA
