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A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation?
Verified Answer
A train starting from a railway station and moving with uniform accele...
Here
Initial velocity (u) = 0
Final velocity (v)=40km/hr
= 40 multiple by 5/18 m/s
= 100/9
=11.11 m/s
Time (t) = 10 min
= 10 multiple with 60 s
= 600 s
Therefore
Acceleration = final velocity — initially velocity / time taken
=11.11 — 0 / 600 m/s sq
= 0.0185 m/s sq
Hence verified……….
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A train starting from a railway station and moving with uniform accele...
Given:
The train starts from a railway station and moves with uniform acceleration.
It attains a speed of 40 km/hr in 10 minutes.
To Find:
We need to find the acceleration of the train.
Approach:
We can use the formula for acceleration to find the value. The formula is:
Acceleration (a) = Change in Velocity (v) / Time Taken (t)
Step 1: Convert Units
First, we need to convert the given speed from km/hr to m/s, as the SI unit of acceleration is m/s².
1 km/hr = 1000 m/3600 s = 5/18 m/s
So, the speed of the train in m/s is:
Speed (v) = 40 km/hr * (5/18) m/s = 200/18 m/s ≈ 11.11 m/s
Step 2: Convert Time
The given time is in minutes, but we need to convert it to seconds to match the SI unit of acceleration.
Time (t) = 10 minutes * 60 seconds/minute = 600 seconds
Step 3: Calculate Acceleration
Now, we can substitute the values into the formula for acceleration:
Acceleration (a) = Change in Velocity (v) / Time Taken (t)
Acceleration (a) = (Final Velocity - Initial Velocity) / Time Taken
Acceleration (a) = (11.11 m/s - 0 m/s) / 600 seconds
Acceleration (a) = 11.11 m/s / 600 seconds
Acceleration (a) ≈ 0.0185 m/s²
Conclusion:
The acceleration of the train is approximately 0.0185 m/s².
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A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation?
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A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation?.
A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train starting from a railway station and moving with uniform acceleration attains a speed of 40km/HR in 10 min. Find its acceleration and calculate the acceralation?.
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