a train is travellung at the speed of 90k/h breaks are applied so as to produce a uniform motion acceleration of 0.5 find hoe far the train will go before it will brought to rest
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Given:-
- Initial velocity , u = 90km/h
- Final velocity ,v = 0m/s
- Acceleration ,a = 0.5m/s²
To Find:-
- Distance covered by the train , s
Solution:-
Conversion of unit
90km/h = 90×5/18 = 25m/s
By using 3rd equation of motion
• v² = u² +2as
Substitute the value we get
→ 0² = 25² + 2×0.5×s
→ 0 = 625 + 1×s
→ s = 625/1
→ s = 625m
∴ The distance covered by the train is 625 Metre.
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2
Explanation:
Initial velocity ,u = 10m/s
Acceleration ,a = 8m/s²
Final velocity ,v = 40m/s
So By using 3rd equation of motion
• v² = u² +2as
Substitute the value we get
→ 40² = 10² +2×8×s
→ 1600 = 100 + 16×s
→ 1600-100 = 16×s
→ 1500 = 16×s
→ s = 1500/16
→ s = 93.75m
The length of Runway 93.80m
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