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Question

# A truck travelling due north at 50 km/hr turns west and travels at the same speed. What is the change in velocity?

A
50 km/hr north-west
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B
502 km/hr north-west
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C
50 km/hr south-west
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D
502 km/hr south-west
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Solution

## The correct option is D 50√2 km/hr south-west Initial velocity of truck, V1=50^j Final velocity of truck, V2=−50^i Change in velocity = final velocity - initial velocity ΔV=−50^i−50^j Hence, magnitude of change in velocity is, |−−→ΔV|=√(−50)2+(−50)2=50√2 km/hr We can see that both component of resultant vector is negative, so the angle of change in velocity vector lies in third quadrant and equal to 45∘ from both west and south. Hence, the direction is South – West.

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