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A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question?
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A particle starts from rest and moves with a uniform acceleration of 5...
Velocity Graph of a Moving Particle with Uniform Acceleration
When a particle starts from rest and moves with uniform acceleration, its velocity changes with time. The velocity graph of such a particle can be plotted as follows:
Initial Stage (0-10 seconds)
- The particle starts from rest, so its initial velocity is zero
- As the particle moves with a uniform acceleration of 5 metre per second for 10 seconds, its velocity increases linearly with time
- The velocity at any time t during this stage can be calculated as v = u + at, where u is the initial velocity (zero), a is the acceleration (5 metre per second), and t is the time elapsed
- The velocity-time graph for this stage is a straight line with a positive slope of 5 metre per second squared
Constant Velocity Stage (10-14 seconds)
- After moving with uniform acceleration for 10 seconds, the particle reaches a constant velocity
- During this stage, the particle moves at a constant velocity of 50 metre per second
- The velocity-time graph for this stage is a horizontal line at 50 metre per second
Deceleration Stage (14-19 seconds)
- After moving with constant velocity for 4 seconds, the particle starts to decelerate
- The particle slows down and comes to rest in 5 seconds
- During this stage, the velocity of the particle decreases linearly with time
- The velocity at any time t during this stage can be calculated as v = u - at, where u is the initial velocity (50 metre per second), a is the deceleration (-10 metre per second squared), and t is the time elapsed
- The velocity-time graph for this stage is a straight line with a negative slope of -10 metre per second squared
Explanation
The velocity graph of a moving particle with uniform acceleration can be used to understand the motion of the particle in detail. The graph shows how the velocity of the particle changes with time during different stages of its motion. By analyzing the graph, we can determine the acceleration, velocity, and displacement of the particle at any time during its motion.
In the given problem, the particle starts from rest and moves with uniform acceleration of 5 metre per second for 10 seconds. This means that its velocity increases linearly with time during this stage. After moving with constant velocity for 4 seconds, the particle starts to decelerate and comes to rest in 5 seconds. This means that its velocity decreases linearly with time during this stage.
The velocity-time graph for this motion consists of three stages: initial stage, constant velocity stage, and deceleration stage. Each stage has a different slope and represents a different type of motion. By analyzing the graph, we can determine the acceleration, velocity, and displacement of the particle at any time during its motion.
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A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question?
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A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question? 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 rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question?.
A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question? 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 rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle starts from rest and moves with a uniform acceleration of 5 metre per second for 10 seconds and then it moves with a constant velocity of 4 seconds later it slows down and comes to rest in 5 seconds draw the velocity graph for the motion of the body and answer the following question?.
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