Question:
A train moving with a speed of 36 kmph takes 14 s to cross a bridge of length 100 m. The length of the train is
A train moving with a speed of 36 kmph takes 14 s to cross a bridge of length 100 m. The length of the train is
Updated On: Dec 4, 2024
- 140 m
- 40 m
- 100 m
- 360 m
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The Correct Option is B
Solution and Explanation
Here, $v = 36 \, km \, h^{-1} = 36 \times \frac{5}{18} = 10 \, m \, s^{-1}$
Length of bridge, $I = 100\, m$
Time taken by train to cross the bridge, $t= 14 s$
Let the length of the train be $x$ m.
$ \therefore \:\:\:\: v = \frac{(x + l)}{t}$
or , $x = v \times t - l $ or , $x = 10 \times 14 = 100 = 40 \, m$
Length of bridge, $I = 100\, m$
Time taken by train to cross the bridge, $t= 14 s$
Let the length of the train be $x$ m.
$ \therefore \:\:\:\: v = \frac{(x + l)}{t}$
or , $x = v \times t - l $ or , $x = 10 \times 14 = 100 = 40 \, m$
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.