a train is moving at a speed of 50m/s and reduces it's speed to 10m/s by covering a distance of 240m then find retardation of the train...????
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Given :-
- A train is moving at a speed of 50m/s and reduce its speed to 10m/s by covering a distance 240m.
To find :-
- Retardation to the train
Solution :-
- Initial velocity (u) = 50m/s
- Final velocity (v) = 10m/s
- Distance (s) = 240m
According to the third equation of motion
→ v² = u² + 2as
Where " v " is final velocity, " u " is Intial velocity, " a " is acceleration and " s " is distance covered by object.
- According to the question
→ v² = u² + 2as
→ (10)² = (50)² + 2 × a × 240
→ 100 = 2500 + 480a
→ 100 - 2500 = 480a
→ -2400 = 480a
→ a = -2400/480
→ a = - 5m/s
- Negative sign shows retardation.
Hence,
- Retardation of train is 5m/s
More to know :-
- v = u + at (First equation of motion)
- s = ut + ½ at² (second equation of motion)
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