Question

To a person going east in a car with a velocity of 10m/s a train appears to move towards north with a velocity of 10√3 m/s. The actual velocity of train is:
a)10m/s, northeast
b)10m/s, northwest
c)20m/s, northeast
d)20m/s, northwest

Answer this questiom with solution please...

Answer 1

Explanation:

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Answer 2

It is a question of relative velocity , relative velocity is defined as the velocity of an object B in the rest frame of another object A.

Velocity of train with respect to car (Vₜ꜀)=10√3 ĵ m/s
Velocity of train with respect to ground.(Vₜ)= ? m/s
Velocity of car with respect to ground (V꜀= 10 î m/s


Velocity of train with respect to ground.(Vₜ)= ? m/s


Vₜ꜀ = Vₜ - V꜀
10√3 ĵ = Vₜ - 10 î
Vₜ = √ 10√3 )² + 10 ² )
Vₜ = 20 m/s
direction = 10√3 ĵ - 10 î
north - west

hence answer is (d)20m/s, northwest

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