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Given that:-
A train running at a speed of 84 km/h
The train crosses a electric pole at 9 seconds
We need to find the length of the train.
Let's Do!
What we can do here, is first convert the given units into SI units.
84 km/h => m/s
1 metre = 1000 km
1 hour = 3600 seconds
\sf{Kmph = \dfrac{1000}{3600} = \dfrac{5}{18} \ After \ simplification}Kmph=
3600
1000
=
18
5
After simplification
So, we can now multiply 84 with 5/18
It was just a shortcut method, you can use it directly as well.
So, we get:-
\sf{\dfrac{84 \times 5}{18}}
18
84×5
\sf{ = 23.33 \ mps \ approximately}=23.33 mps approximately
mps means metre/second.
Now, we know that
\boxed{\sf{Speed = \dfrac{Distance}{Time} }}
Speed=
Time
Distance
\boxed{\sf{\mapsto Distance = Speed \times Time}}
↦Distance=Speed×Time
Now, we need is length ie Distance.
So, 23.33*9 = 209.97 metres is the length of the train.
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