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:
$ 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:
Updated On: Jul 12, 2022
- $\tan^{-1}(2)$
- $\tan^{-1}(1/2)$
- $ 45^{\circ}$
- $0^{\circ}$
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The Correct Option is A
Solution and Explanation
According to the condition of question
$\tan \theta =\frac{v_{y}}{v_{x}}=\frac{20}{10}=2$
$\therefore \theta =\tan ^{-1}(2)$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration