Question:
How long will a passenger sitting at the window of a train travelling at a speed of 54 km$h^{-1}$ see a train,passing by in the opposite direction with a speed of 36 km$h^{-1}$ , if the length of the second train is 150 m?
How long will a passenger sitting at the window of a train travelling at a speed of 54 km$h^{-1}$ see a train,passing by in the opposite direction with a speed of 36 km$h^{-1}$ , if the length of the second train is 150 m?
Updated On: Jul 5, 2022
- 10 s
- 6 s
- 6 min
- 8 min
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The Correct Option is B
Solution and Explanation
Relative speed of 1st train w.r.t. IInd
$ = (54 + 36) kmh^{-1} = 90 \times \frac{5}{18} ms^{-1}$
$ = 25 \, ms^{-1}$
Time duration to pass IInd train
$ = \frac{150}{25} = 6 \, s$
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration