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Relative Velocity of Car

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A car travelling at 70mph approaches a level crossing at 55 degrees to the rail track. Calculate its relative velocity to a train approaching at 100mph.

Calculate the above and show working + line diagram.

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Solution Summary

This solution provides steps to calculate the relative velocity of a car.

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Given:
v_train (vector)= 100 mph (+ve x)
v_car (vector) = 70 mph (55 deg to +ve x axis)

Problem:
v_car/train (vector) = ?

Solution:
magnitude of v_car(vector) = mag(v_car(vector)) = v_car = 70
magnitude of v_train(vector) = ...

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  • BEng, Allahabad University, India
  • MSc , Pune University, India
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