Question:
A person moves 30 m north, from there 20m east and finally $30\sqrt{2}$ m south-west from there His displacement from initial position is.
A person moves 30 m north, from there 20m east and finally $30\sqrt{2}$ m south-west from there His displacement from initial position is.
Updated On: Jul 7, 2022
- 10 m west
- 10 m east
- 5 m west
- 5 m east
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The Correct Option is A
Solution and Explanation
$\bar{S} = 30 \hat{j} + 20 \hat{i} + 30( - \hat{i} - \hat{j})$
$\Rightarrow \, \bar{S} = - 10 \hat{j} \, \Rightarrow 10 m \, west$
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Notes on Motion in a plane
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