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If the velocity-time graph of particle is represented by y=mt, then the particle is moving with
- a)Constant speed
- b)Constant velocity
- c)Constant acceleration
- d)Varying
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the velocity-time graph of particle is represented by y=mt, then th...
Understanding the Velocity-Time Graph
The equation y = mt represents a linear relationship between velocity (y) and time (t), where m is the slope of the line. This is crucial for understanding the motion of the particle.
Key Concepts
- Velocity: The speed of an object in a given direction.
- Time: The duration over which the motion occurs.
- Slope (m): Represents the rate of change of velocity with respect to time.
Analysis of the Equation
- In the equation y = mt, as time increases, velocity changes linearly.
- The slope m indicates that there is a constant rate at which velocity is changing.
Implications of Constant Slope
- A constant slope (m) means that the particle's velocity is not constant; instead, it changes at a uniform rate over time.
- This consistent change in velocity indicates that the particle is accelerating.
Conclusion
- Since the velocity is not constant and there is a consistent change, the particle is experiencing constant acceleration.
- Therefore, the correct answer is option 'C' - the particle is moving with constant acceleration.
In summary, when the velocity-time graph is represented as y = mt, it indicates that the particle's velocity is changing at a constant rate, leading to uniform acceleration.
The equation y = mt represents a linear relationship between velocity (y) and time (t), where m is the slope of the line. This is crucial for understanding the motion of the particle.
Key Concepts
- Velocity: The speed of an object in a given direction.
- Time: The duration over which the motion occurs.
- Slope (m): Represents the rate of change of velocity with respect to time.
Analysis of the Equation
- In the equation y = mt, as time increases, velocity changes linearly.
- The slope m indicates that there is a constant rate at which velocity is changing.
Implications of Constant Slope
- A constant slope (m) means that the particle's velocity is not constant; instead, it changes at a uniform rate over time.
- This consistent change in velocity indicates that the particle is accelerating.
Conclusion
- Since the velocity is not constant and there is a consistent change, the particle is experiencing constant acceleration.
- Therefore, the correct answer is option 'C' - the particle is moving with constant acceleration.
In summary, when the velocity-time graph is represented as y = mt, it indicates that the particle's velocity is changing at a constant rate, leading to uniform acceleration.
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Community Answer
If the velocity-time graph of particle is represented by y=mt, then th...
- In this case, the given equation, y=mt shows that the velocity is linear with time.
- Therefore the particle is moving with constant acceleration because for a particle to acquire constant acceleration the graph of the velocity time graph should be linear with the time function.
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