Question:
A train of $150\, m$ length is going towards north direction at a speed of $10 \,ms ^{-1}$. A parrot flies at a speed of $5 \,ms ^{-1}$ towards south direction . parallel to the railway track. The time taken by the parrot to cross the train is equal to
A train of $150\, m$ length is going towards north direction at a speed of $10 \,ms ^{-1}$. A parrot flies at a speed of $5 \,ms ^{-1}$ towards south direction . parallel to the railway track. The time taken by the parrot to cross the train is equal to
Updated On: Jun 8, 2024
- 12 s
- 8 s
- 15 s
- 10 s
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The Correct Option is D
Solution and Explanation
Relative velocity of the parrot w.r.t. the train
$=[10-(-5)] \,m / s =15\, m / s$
Time taken by the parrot to cross the train
$=\frac{150}{15}=10\, s$
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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