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Q.

A truck travelling due north at 20 ms^-1 turns west and travels with same speed. What is the change in velocity?

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a

$20 \sqrt{2}$ ms^-1 south-west

b

40 ms^-1 south-west

c

$20 \sqrt{2}$ ms^-1 north-west

d

40 ms^-1 north-west

answer is A.

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Detailed Solution

initial velocity 20 $\hat{j}$ and final velocity 20( $- \hat{i}$ )

change in velocity= $∆ \vec{v} =$ -20 $\hat{i}$ -20 $\hat{j}$

$|∆ \vec{v}| = 20 \sqrt{2}$

along south west

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