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A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is?
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A body starts from rest and travels for five seconds to make a displac...
Given Information
- Initial velocity (u) = 0 m/s (starts from rest)
- Time (t) = 5 seconds
- Displacement (s) = 25 m
Formula for Displacement
To find the acceleration (a), we can use the formula for displacement under uniform acceleration:
s = ut + (1/2)at²
Since the initial velocity (u) is 0, the formula simplifies to:
s = (1/2)at²
Substituting Values
Now, substitute the known values into the equation:
25 = (1/2)a(5)²
This simplifies to:
25 = (1/2)a(25)
Solving for Acceleration
To isolate "a," rearrange the equation:
25 = (25/2)a
Multiply both sides by 2:
50 = 25a
Now divide by 25:
a = 2 m/s²
Conclusion
The uniform acceleration of the body is:
- a = 2 m/s²
This result indicates that the body accelerates at a rate of 2 meters per second squared during the 5-second interval.
- Initial velocity (u) = 0 m/s (starts from rest)
- Time (t) = 5 seconds
- Displacement (s) = 25 m
Formula for Displacement
To find the acceleration (a), we can use the formula for displacement under uniform acceleration:
s = ut + (1/2)at²
Since the initial velocity (u) is 0, the formula simplifies to:
s = (1/2)at²
Substituting Values
Now, substitute the known values into the equation:
25 = (1/2)a(5)²
This simplifies to:
25 = (1/2)a(25)
Solving for Acceleration
To isolate "a," rearrange the equation:
25 = (25/2)a
Multiply both sides by 2:
50 = 25a
Now divide by 25:
a = 2 m/s²
Conclusion
The uniform acceleration of the body is:
- a = 2 m/s²
This result indicates that the body accelerates at a rate of 2 meters per second squared during the 5-second interval.
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A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is?
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A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is?.
A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body starts from rest and travels for five seconds to make a displacement of 25 m. if it has travelled the distance with uniform acceleration a then a is?.
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