A train starts from rest and accelerated uniformly at the rate of 2m/s2 for 10sec calculate the velocity of the train in 10 sec
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Required Answer :
• The final velocity of the train = 20 m/s²
Given :
• Initial velocity of the train = 0 m/s [Initial velocity of the train is zero because the train was initially at rest.]
• Acceleration of the train = 2 m/s²
• Time = 10 seconds
To find :
• Final velocity of the train in 10 seconds
Solution :
Here, we shall use the first equation of motion to find the final velocity of the train.
First equation of motion :-
- v = u + at
where,
- v denotes the final velocity
- u denotes the initial velocity
- a denotes the acceleration
- t denotes the time taken
we have,
- v = ?
- u = 0 m/s
- a = 2 m/s²
- t = 10 s
Substituting the given values :-
→ v = (0) + (2)(10)
→ v = 2 × 10
→ v = 20
Therefore, the final velocity of the train = 20 m/s²
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