Question:
A truck travelling due north at $20 \,ms$ turns west and travels with same speed. What is the change in velocity?
A truck travelling due north at $20 \,ms$ turns west and travels with same speed. What is the change in velocity?
Updated On: Jul 27, 2022
- $20 \sqrt{2} \,ms ^{-1}$ south-west
- $40\, ms ^{-1}$ south-West
- $20 \sqrt{2} \,m s^{-1}$ north-west
- $40 \,ms ^{-1}$ north-west
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The Correct Option is A
Solution and Explanation
Change in velocity $=\sqrt{(20)^{2}+(20)^{2}}=20 \sqrt{2}$ along north-east or south-west
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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