Kinematics Question 3

Question: A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in it’s velocity be [UPSEAT 1999]

Options:

A) 40 m/s N?W

B) $ 20\sqrt{2} $ m/s N?W

C) 40 m/s S?W

D) $ 20\sqrt{2} $ m/s S?W

Show Answer

Answer:

Correct Answer: D

Solution:

$ {{\overrightarrow{v}}_1}=20\hat{j} $ and $ {{\overrightarrow{v}}_2}=-20\hat{i} $

$ \Delta \overrightarrow{v}={{\overrightarrow{v}}_2}-{{\overrightarrow{v}}_1}=-20(\hat{i}+\hat{j}) $

$ |\Delta \overrightarrow{v}|=20\sqrt{2} $ and direction $ \theta ={{\tan }^{-1}}(1)=45{}^\circ $ i.e. S?W



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