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

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50km/h, 300 east of north

50km/h, 300 north of east

25km/h, 300 east of north

25km/h, 300 north of east

answer is A.

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Detailed Solution

υ→c=25i^,υ→b/c=253j^ υ→b/c=V→b−V→c⇒V→b=V→b/c+V→c⇒υ→b=25i^+253j^|υ→b|=252+(253)2=50km/htanθ=25253=13⇒θ=300

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