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Question

A bus is moving on a straight road towards North with a uniform speed of 50 km/h. If the speed remains unchanged after turning through 90o, the increase in the velocity of the bus in the turning process is?

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Solution

Let the North be represented by Y-axis. The when the car turns left, it moves along the -ve x-axis, towards West.

Let \vec{v1} = 50 \hat{j}\ kmph\ \ \ and,\ \vec{v2} = -50 \hat{i}\ kmph

Change in velocity is =\vec{v2}-\vec{v1}=-50\hat{i}-50\hat{j}\ kmph

Magnitude of change in velocity is 502+502=502

The direction of the change in velocity = Southwest, 45 deg. from South towards West.

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