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Question

A car is moving towards east with a speed of 25 km h1. To the driver of the car, a bus appears to move towards north with a speed of 253 km h1. What is the actual velocity of bus?

A
50 km h1, 30 East of North
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B
50 km h1, 30 North of East
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C
25 km h1, 30 East of North
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D
25 km h1, 30 North of East
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Solution

The correct option is A 50 km h1, 30 East of North
Velocity of car,vc=25^i
Velocity of bus w.r.t car, vb/c=253^j
Then, vb/c=vbvcvb=vb/c+vc

vb=25^i+253^j
vb=252+(253)2=50 km/h

Now,
tanθ=25253=13θ=30
Therefore direction is 30 East of North

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