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The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph?
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The position s of a particle moving along X axis at time T is given by...
Velocity-Time Graph for the given Position-Time Equation
Velocity is the rate of change of position with respect to time. In order to draw the velocity-time graph for the given position-time equation, we need to first differentiate the position equation with respect to time to find the velocity equation.
Velocity Equation
The position equation given is s = 5 - 3t + 2t^2. To find the velocity equation, we differentiate the position equation with respect to time:
v = ds/dt = d/dt(5 - 3t + 2t^2)
v = 0 - 3 + 4t
v = 4t - 3
Interpretation of the Velocity Equation
The velocity equation v = 4t - 3 represents the velocity of the particle at any given time t. The constant term -3 indicates that the particle has an initial velocity of -3 units.
Velocity-Time Graph
To plot the velocity-time graph, we need to represent time on the x-axis and velocity on the y-axis. The graph of v = 4t - 3 is a straight line with a positive slope of 4. This means that the velocity of the particle increases linearly with time.
Conclusion
In conclusion, by differentiating the position equation with respect to time, we obtained the velocity equation v = 4t - 3. The velocity-time graph of the particle moving along the X-axis is a straight line with a positive slope of 4. This graph represents how the velocity of the particle changes with time.
Velocity is the rate of change of position with respect to time. In order to draw the velocity-time graph for the given position-time equation, we need to first differentiate the position equation with respect to time to find the velocity equation.
Velocity Equation
The position equation given is s = 5 - 3t + 2t^2. To find the velocity equation, we differentiate the position equation with respect to time:
v = ds/dt = d/dt(5 - 3t + 2t^2)
v = 0 - 3 + 4t
v = 4t - 3
Interpretation of the Velocity Equation
The velocity equation v = 4t - 3 represents the velocity of the particle at any given time t. The constant term -3 indicates that the particle has an initial velocity of -3 units.
Velocity-Time Graph
To plot the velocity-time graph, we need to represent time on the x-axis and velocity on the y-axis. The graph of v = 4t - 3 is a straight line with a positive slope of 4. This means that the velocity of the particle increases linearly with time.
Conclusion
In conclusion, by differentiating the position equation with respect to time, we obtained the velocity equation v = 4t - 3. The velocity-time graph of the particle moving along the X-axis is a straight line with a positive slope of 4. This graph represents how the velocity of the particle changes with time.
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The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph?
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The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph?.
The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The position s of a particle moving along X axis at time T is given by s= 5-3t+2t2 draw its velocity time graph?.
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