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Body starts from rest and slides down an inclined plane of length 15 metre in 15 second what is inflation and its speed at bottom of plane?
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Body starts from rest and slides down an inclined plane of length 15 m...
Introduction
When a body starts from rest and slides down an inclined plane, we can determine its acceleration and final speed using basic kinematic equations.
Given Data
- Length of inclined plane (s) = 15 meters
- Time taken (t) = 15 seconds
- Initial velocity (u) = 0 m/s (starts from rest)
Acceleration Calculation
Using the second equation of motion:
- s = ut + (1/2)at²
Since the initial velocity (u) is 0:
- 15 = 0 + (1/2)a(15)²
- 15 = (1/2)a(225)
- 15 = 112.5a
- a = 15 / 112.5
- a = 0.133 m/s²
Final Velocity Calculation
To find the final velocity (v) at the bottom of the inclined plane, we can use the first equation of motion:
- v = u + at
Again, since u = 0:
- v = 0 + (0.133)(15)
- v = 1.995 m/s ≈ 2 m/s
Conclusion
- Acceleration: The body accelerates down the incline at approximately 0.133 m/s².
- Final Speed: The speed of the body at the bottom of the inclined plane is approximately 2 m/s.
This analysis illustrates the basic principles of motion along an incline, emphasizing how time and distance influence acceleration and final speed.
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Body starts from rest and slides down an inclined plane of length 15 metre in 15 second what is inflation and its speed at bottom of plane?
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