Question:
A man travels 1 mile due east, then 5 miles due south, then 2 miles due east arid finally 9 miles due north. His displacement is.
A man travels 1 mile due east, then 5 miles due south, then 2 miles due east arid finally 9 miles due north. His displacement is.
Updated On: Jul 5, 2022
- 3 miles
- 5 miles
- 4 miles
- between 5 and 9 miles
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The Correct Option is B
Solution and Explanation
$\bar{S} = \hat{i} + 5 (- \hat{j}) +2 \hat{i} + 9 \hat{j} = 3 \hat{i} + 4 \hat{j}$
$S = 5 \, miles$
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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