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Question

A bus is going due north at a speed of 50km/h. It makes a 90 left turn without changing the speed. The change in the velocity of the bus is

A
50km/h toward west
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B
50km/h towards southwest
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C
70.7km/h towards southwest
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D
70.7km/h towards northwest
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Solution

The correct option is C 70.7km/h towards southwest
When bus turns 900 left, it form an right angle triangle with base and perpendicular as 50km/hr, so the resultant or change in velocity can be calculated as
change in velocity |Δv|=502+502=70.7kmh1 and it is along southwest direction .

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