Q].train moves from rest to a speed of 25 m/s in 30 seconds. What is the magnitude of its acceleration?
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Answer:
Given:-
Initial velocity ,u = 0m/s
Final velocity ,v = 25m/s
Time taken ,t = 30
To Find:-
Magnitude of Acceleration ,a
Solution:-
we have to calculate the magnitude of acceleration.
As we know that acceleration is defined as the rate of change in velocity .
a = v-u/t
where
v is the final velocity
a is the acceleration
u is the initial velocity
t is the time taken
Substitute the value we get
:\implies:⟹ a = 25-0/30
:\implies:⟹ a = 25/30
:\implies:⟹ a = 0.833 m/s²
Hence, the acceleration of the train is 0.833 m/s².
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★ Given :
- ➝ Initial velocity of train (u) = 0
- ➝ Final velocity of train (v) = 25m/s
- ➝ Time taken by train (T) = 30sec
★ Need to Find :
- ➲ Acceleration of the train ?
★ Formula Used Here :
- ➲ v = u + at
✰ Where :
- ↠ v = Final velocity
- ↠ u = Initial velocity
- ↠ a = acceleration
- ↠ t = Time taken
✯ Understanding the concept :
- ➥ For solving this question whe have to apply 1st equation of motion. After putting value in formula we can easily calculate the acceleration of train !
✯ Putting value in formula :
- ↠ v = u + at
- ↠25m/s = 0 + a × 30s
- ↠ 25 = 0 + 30a
- ↠ 25 = 30a
- ↠ a = 0.83 m/s²
✰ Therefore :
- ➦ Acceleration of train is a = 0.83m/s²
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