Equations of Motion Quiz
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Questions and Answers

What is the equation that shows the velocity-time relation?

  • s = ut + ½at²
  • a = AQ
  • v = u - at
  • v = u + at (correct)

    • What is the formula to find the area of a trapezium?

  • A = h(a-b)
  • A = h(a+b)
  • A = ½h(a+b) (correct)
  • A = ½h(a-b)

    • What is the acceleration of a body from the equation s = ½t(u+v)?

  • a = (v-u)/t (correct)
  • a = (v-u)/2t
  • a = (v+u)/t
  • a = (v+u)/2t

    • What is the second equation of motion?

    <p>s = ut + ½at²</p> Signup and view all the answers

    What is the equation to calculate the final velocity of an object?

    <p>v² = u² + 2as</p> Signup and view all the answers

    What is the first equation of motion?

    <p>v = u + at</p> Signup and view all the answers

    How do you find the displacement of an object in a particular time interval from the velocity-time graph?

    <p>By finding the area of the quadrilateral obtained by drawing perpendiculars to the velocity-time graph</p> Signup and view all the answers

    What is the relation between acceleration, initial velocity, and final velocity?

    <p>v² = u² + 2as</p> Signup and view all the answers

    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.

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