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Q.

A train is travelling along a horizontal rail at the rate of 90 km/hr and rain, driven by wind blowing in the direction of motion of train, falls at a velocity of 12.5 m/s making an angle of 30o to the vertical. Find the velocity of rain (in magnitude and direction) as seen from the train.

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a

353 2 m/s,  inclined at an angle of 600  to the vertical away from train's motion.

b

2552 m/s, inclined at an angle of 300 to the vertical  away from train's motion.

c

2532 m/s, inclined at an angle of 600 to the vertical away from train's motion.

d

2532 m/s, inclined at an angle of 300 to the vertical away from train's motion.

answer is D.

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Detailed Solution

vt = 9 km/h = 25 m/s

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x = 252+(12.5)2-2×25×12.5 cos 600

  = 12.54+1-2 = 2532

Now θ = 600

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