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When in going east at 10 kmph, a train moving with constant velocity appears to be moving exactly ‘north-east’. When my velocity is increased to 30 kmph east it appears to be moving north. What spped should i move north so that train appears to be moving exactly south-east ?

When in going east at 10 kmph, a train moving with constant velocity appears to be moving exactly ‘north-east’. When my velocity is increased to 30 kmph east it appears to be moving north. What spped should i move north so that train appears to be moving exactly south-east ?

Grade:11

1 Answers

Eshan
askIITians Faculty 2095 Points
2 years ago
Dear student,

Since while moving east with10km/hr, the train seems to move in NE, the north and East componets of train are such that
v_E-10=v_N

When moving East with velocity30km/hr, the train seems to move northwards.

Hence the east component of train must bev_E=30km/hr

Hencev_N=20km/hr

Now after moving nortward with speedv, the train seems to move in South-East.
Hencev-20=30\implies v=50km/hr

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