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The equations of motion can be derived by using
- a)Distance-time graph
- b)Displacement time graph
- c)Velocity – time graph for uniform acceleration
- d)Velocity – time graph for non-uniform acceleration
Correct answer is option 'C'. Can you explain this answer?
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The equations of motion can be derived by usinga)Distance-time graphb)...
The First Equation of Motion. Consider an object moving so that its velocity-time graph is a straight line. Such an object is undergoing constant acceleration, since the slope of the graph is constant. The first equation of motion gives the final velocity after a time t for these objects, given an initial velocity v0 .
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The equations of motion can be derived by usinga)Distance-time graphb)...
Explanation:
Using Velocity-time graph for uniform acceleration:
- When an object experiences uniform acceleration, its velocity-time graph is a straight line.
- The slope of this graph represents the acceleration of the object.
- By analyzing this graph, we can derive the equations of motion for uniform acceleration, such as the equations for displacement, velocity, and time.
Derivation of equations of motion:
- By analyzing the velocity-time graph for uniform acceleration, we can determine the initial velocity, final velocity, acceleration, displacement, and time taken by the object to travel a certain distance.
- Using the basic kinematic equations and the information obtained from the graph, we can derive the equations of motion, such as:
- \(v = u + at\)
- \(s = ut + \frac{1}{2}at^2\)
- \(v^2 = u^2 + 2as\)
- \(s = \frac{(u+v)t}{2}\)
Application of equations of motion:
- These equations are essential in solving various problems related to motion, such as finding the distance traveled by an object, the final velocity attained, or the time taken to reach a certain velocity.
- They are commonly used in physics to analyze the motion of objects under uniform acceleration conditions.
Using the velocity-time graph for uniform acceleration is a fundamental method for deriving the equations of motion and understanding the kinematics of moving objects.
Using Velocity-time graph for uniform acceleration:
- When an object experiences uniform acceleration, its velocity-time graph is a straight line.
- The slope of this graph represents the acceleration of the object.
- By analyzing this graph, we can derive the equations of motion for uniform acceleration, such as the equations for displacement, velocity, and time.
Derivation of equations of motion:
- By analyzing the velocity-time graph for uniform acceleration, we can determine the initial velocity, final velocity, acceleration, displacement, and time taken by the object to travel a certain distance.
- Using the basic kinematic equations and the information obtained from the graph, we can derive the equations of motion, such as:
- \(v = u + at\)
- \(s = ut + \frac{1}{2}at^2\)
- \(v^2 = u^2 + 2as\)
- \(s = \frac{(u+v)t}{2}\)
Application of equations of motion:
- These equations are essential in solving various problems related to motion, such as finding the distance traveled by an object, the final velocity attained, or the time taken to reach a certain velocity.
- They are commonly used in physics to analyze the motion of objects under uniform acceleration conditions.
Using the velocity-time graph for uniform acceleration is a fundamental method for deriving the equations of motion and understanding the kinematics of moving objects.
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The equations of motion can be derived by usinga)Distance-time graphb)Displacement time graphc)Velocity – time graph for uniform accelerationd)Velocity – time graph for non-uniform accelerationCorrect answer is option 'C'. Can you explain this answer?
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