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Questions and Answers
What is the equation that shows the velocity-time relation?
What is the formula to find the area of a trapezium?
What is the acceleration of a body from the equation s = ½t(u+v)?
What is the second equation of motion?
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What is the equation to calculate the final velocity of an object?
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What is the first equation of motion?
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How do you find the displacement of an object in a particular time interval from the velocity-time graph?
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What is the relation between acceleration, initial velocity, and final velocity?
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Study Notes
Velocity-Time Relation
- The equation representing the velocity-time relation is ( v = u + at ), where ( v ) is final velocity, ( u ) is initial velocity, ( a ) is acceleration, and ( t ) is time.
Area of a Trapezium
- The formula for calculating the area of a trapezium is ( A = \frac{1}{2}(a + b)h ), where ( a ) and ( b ) are the lengths of the two parallel sides and ( h ) is the height perpendicular to these sides.
Acceleration from s = ½t(u + v)
- From the equation ( s = \frac{1}{2}t(u + v) ), acceleration can be found by rearranging the equation based on the definition, often linking displacement, initial and final velocities, and time.
Second Equation of Motion
- The second equation of motion is ( s = ut + \frac{1}{2}at^2 ), which describes displacement ( s ) as a function of initial velocity ( u ), time ( t ), and acceleration ( a ).
Final Velocity Calculation
- Final velocity of an object can be calculated using the equation ( v^2 = u^2 + 2as ), where ( v ) is final velocity, ( u ) is initial velocity, ( a ) is acceleration, and ( s ) is displacement.
First Equation of Motion
- The first equation of motion is ( v = u + at ), establishing the relationship between initial velocity, final velocity, acceleration, and time.
Displacement from Velocity-Time Graph
- Displacement in a particular time interval can be found by calculating the area under the velocity-time graph over that interval, where the area represents total displacement.
Relation between Acceleration, Initial and Final Velocity
- The relationship between acceleration, initial velocity, and final velocity can be expressed as ( a = \frac{v - u}{t} ), linking changes in velocity over time to acceleration.
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Description
Test your understanding of equations of motion, including velocity-time relation, acceleration, and position-time graphs.
