A train attains a velocity of 72km/hr in 5 mins. How much distance did the train travel and
with what acceleration ?
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Answer :-
Given :-
- Initial velocity = 0
- Final velocity = 72 km/hr = 20 m/s
- Time = 5 mins = 300 seconds
To Find :-
- Acceleration
- Distance
Solution :-
Calcualting Acceleration :-
We know that,
→ v = u + at
Substituting the value in formula :-
→ 20 = 0 + 300a
→ 300a = 20
→ 30a = 2
→ a = 2 / 30
→ a = 1 / 15
Acceleration = 1 / 15 m/s²
Calulating distance travelled :-
We know that,
→ s = ut + ½ at²
Substituting the value in formula :-
→ s = 0 × 300 + 1 / 2 × 1 / 15 × 300 × 300
→ s = 1 / 30 × 300 × 300
→ s = 3000
Distance travelled = 3000 m or 3 km
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