A train starts to move from rest. After 5 minutes, its velocity becomes 25m/s. What is its acceleration
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Answered by
26
⚘ Given That :
- ➻ Initial Velocity of Train (u) = 0m/s
- ➻ Final Velocity of Train (v) = 25m/s
- ➻ Time Taken by Train (T) = 5 Min
⚘ Need To Find :
- ➮ The acceleration of Train ?
⌬ Formula Used Here :
- ✪ a = v - u / t ✪
✧ Where :
- ↣ a = Acceleration
- ↣ v = Final Velocity
- ↣ u = Initial Velocity
- ↣ t = Time
____________________
☢ Conversion Needed :
◆ Time taken by train 5 min into seconds :
- ⇢ Time = 5 × 1min
- ⇢ Time = 5 × 60 s
- ⇢ Time = 300s
✇ Putting Values in Formula :
- ➟ a = v - u / t
- ➟ a = ( 25 - 0 ) / 300s
- ➟ a = 25 / 300
- ➟ a = 0.0833m/s² [ Approximately ]
✠ Therefore :
» Acceleration of Train will be 0.0833 m/s²
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Answered by
18
Information given to us:
- A train starts to move from rest
- After 5 minutes, its velocity becomes 25m/s
What we have to calculate:
- Acceleration caused?
Formula used:
- Acceleration = Final velocity - Intial velocity / Time
Converting minutes into seconds:
- As we have 5 minutes inorder to convert it into it into seconds we have to multiply 5 with 60 because one minute contains 60 seconds.
=> T = 5 × 60
=> T = 300 seconds
Evaluating the values in the given formula of calculating the acceleration:
Here we have,
- v is 25 m/s
- T is 300s
- u is 0
Lets solve it now!
=> a = 25 - 0 / 300
- On substracting 25 with 0 we gets 25,
=> a = 25 / 300
- Dividing 25 by 300,
=> a = 5 / 60
- Dividing 5 by 60,
=> a = 1 / 12
- Now we gets,
=> a = 0.083333
Conclusion:
- Acceleration is of 0.083333 m/s²
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