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A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B
Most Upvoted Answer
A particle starts from a point A whose initial velocity is V1 and it r...
V^2=u^2+2as
=>(v2)^2= (v1)^2+2ad
=>a=(v2)^2-(v1)^2/2d...…...(I)
v=u+at
v2=v1+[(v2)^2-(v1)^2/2d]t
=>t = 2d/(v2+v1)
=>(v2)^2= (v1)^2+2ad
=>a=(v2)^2-(v1)^2/2d...…...(I)
v=u+at
v2=v1+[(v2)^2-(v1)^2/2d]t
=>t = 2d/(v2+v1)
Community Answer
A particle starts from a point A whose initial velocity is V1 and it r...
Given Conditions:
- Initial velocity (V1) and Final velocity (V2) of the particle
- Distance between points A and B is 'd'
- Acceleration is proportional to velocity
Calculating Time taken from A to B:
- Let the time taken by the particle to travel from A to B be 't' seconds
- Given that acceleration is proportional to velocity, we have a = kV, where 'k' is a constant
- Using the kinematic equation, V = V1 + at, we can express acceleration 'a' as a = (V2 - V1) / t
- Substituting the value of acceleration 'a' as kV in the above equation, we get V = V1 + kVt
- Solving for 't', we get t = (V - V1) / (kV)
Explaining the Time Calculation:
- Initially, the particle moves from point A with an initial velocity V1
- As the particle moves towards point B, its velocity changes from V1 to V2 due to acceleration
- The time taken to cover the distance 'd' can be calculated using the above derived formula
- This time calculation is crucial in determining the motion of the particle along a straight line path
Conclusion:
- By understanding the relationship between acceleration and velocity, we can calculate the time taken by the particle to travel from point A to point B
- This analysis helps in studying the motion of particles under varying acceleration conditions along a straight line path.
- Initial velocity (V1) and Final velocity (V2) of the particle
- Distance between points A and B is 'd'
- Acceleration is proportional to velocity
Calculating Time taken from A to B:
- Let the time taken by the particle to travel from A to B be 't' seconds
- Given that acceleration is proportional to velocity, we have a = kV, where 'k' is a constant
- Using the kinematic equation, V = V1 + at, we can express acceleration 'a' as a = (V2 - V1) / t
- Substituting the value of acceleration 'a' as kV in the above equation, we get V = V1 + kVt
- Solving for 't', we get t = (V - V1) / (kV)
Explaining the Time Calculation:
- Initially, the particle moves from point A with an initial velocity V1
- As the particle moves towards point B, its velocity changes from V1 to V2 due to acceleration
- The time taken to cover the distance 'd' can be calculated using the above derived formula
- This time calculation is crucial in determining the motion of the particle along a straight line path
Conclusion:
- By understanding the relationship between acceleration and velocity, we can calculate the time taken by the particle to travel from point A to point B
- This analysis helps in studying the motion of particles under varying acceleration conditions along a straight line path.
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A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B
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A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B.
A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from a point A whose initial velocity is V1 and it reaches with Final velocity V2 at point B which is which is at a distance ' d ' from point A. The path is a straight line. If acceleration is proportional to velocity find the time taken by particle from A to B.
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