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in Kinematics by (20 points)
Two trains, one travelling at \( 15 m / s \) and the other at \( 20 m / s \) are headed towards each other on a level track. When they are \( 2 km \) apart, both drivers apply simultaneously brakes. If their brakes produces retardation of \( 0.20 m / s ^{2} \) (for each). The final separation between trains is

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1 Answer

+1 vote
by (120 points)

For Train 1,

u = 15 m/s ; a = -0.2 m/s2 ; v = 0

Distance travelled by train 1 before stopping (S1) = \(\frac{v^2 - u^2}{2a}\)

\(\frac{-225}{-0.4} = 562.5 m\)

For Train 2,

 u = 20 m/s ; a = -0.2 m/s; v = 0

Distance travelled by train 2 before stopping (S2) = \(\frac{v^2 - u^2}{2a}\)

=\(\frac{-400}{-0.4} = 1000m\)

Therefore, final distance between the two trains = [(2000) - (1000 + 562.5)] =  437.5 meters

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