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Q.

A car is moving towards east with a speed of 25 kmh-1. To the driver of the cat, a bus appears to move towards north with a speed of 253kmh−1 .What is the actual velocity of the bus?

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a

50kmh−1,30∘E of N

b

50kmh−1,30∘N of E

c

25kmh−1,30∘E of N

d

25kmh−1,30∘N of E

answer is A.

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Detailed Solution

v→c=25i^,v→b/c=253j^v→b/c=v→b−v→c⇒v→b=v→b/c+v→c⇒ v→b=25i^+253j^v→b=252+(253)2=50kmh−1tan⁡θ=25253=13⇒ θ=30∘
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