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Questions and Answers

What is the acceleration of the particle given by the equation x = a - bt + gt^2?

  • 2g (correct)
  • -b + 2g
  • -2g
  • -b

    • What is the displacement equation of the particle moving along the X-axis?

  • x = 18t + 2t^2
  • x = 18t - 5t^2
  • x = 18t + 5t^2 (correct)
  • x = 18t - 2t^2

    • What is the coefficient of t in the displacement equation x = a - bt + gt^2?

  • a
  • g
  • b
  • -b (correct)

    • What is the coefficient of t^2 in the displacement equation x = a - bt + gt^2?

    <p>g</p> Signup and view all the answers

    What does the sign of the average velocity depend on?

    <p>the sign of displacement</p> Signup and view all the answers

    What is the constant term in the displacement equation x = a - bt + gt^2?

    <p>a</p> Signup and view all the answers

    What is the unit of acceleration?

    <p>m/s^2</p> Signup and view all the answers

    What is the average velocity of a particle completing a circle of radius 1m in 10s?

    <p>3.14 m/s</p> Signup and view all the answers

    What can be said about the velocity of two particles with displacement-time graphs that make angles of 30° and 45° with the X-axis?

    <p>Data insufficient</p> Signup and view all the answers

    What is the relationship between the x-t graph and the v-t graph?

    <p>The v-t graph is the derivative of the x-t graph</p> Signup and view all the answers

    What is the unit of average velocity?

    <p>m/s</p> Signup and view all the answers

    What is the physical quantity that is measured in m/s?

    <p>Velocity</p> Signup and view all the answers

    What is necessary for an object to be accelerated?

    <p>Either its speed or direction must change.</p> Signup and view all the answers

    What can be said about the displacement of an object at a given time T?

    <p>It must always have a non-negative value.</p> Signup and view all the answers

    What is the shape of the v-t graph for the given x-t equation?

    <p>A straight line not passing through the origin.</p> Signup and view all the answers

    What is the instantaneous velocity of the object at t = 2 s?

    <p>16 ms^-1.</p> Signup and view all the answers

    What can be said about the acceleration of an object moving along a curved path?

    <p>Both (b) and (c) are correct.</p> Signup and view all the answers

    What is the average velocity of a body moving with uniform acceleration?

    <p>It depends on the initial and final velocities.</p> Signup and view all the answers

    What is the displacement of a particle starting from rest at t = 0?

    <p>It is given by s = 6t^2 - t^3.</p> Signup and view all the answers

    What is necessary for an object to have non-zero acceleration?

    <p>It must have a changing velocity or direction.</p> Signup and view all the answers

    Between t = 18 s and t = 20 s, what can be said about the car's acceleration?

    <p>The acceleration is positive.</p> Signup and view all the answers

    At point B, what is the direction of the car's acceleration?

    <p>Positive direction.</p> Signup and view all the answers

    What can be said about the car's velocity and acceleration at point C?

    <p>The velocity and acceleration are both zero.</p> Signup and view all the answers

    Which of the following statements about the car's motion is correct?

    <p>The car is moving in a positive direction with a positive acceleration.</p> Signup and view all the answers

    What is the rate of change of speed?

    <p>Acceleration.</p> Signup and view all the answers

    What is the correct match for Column I: d|v|/dt?

    <p>Rate of change of speed.</p> Signup and view all the answers

    What can be said about the car's speed at point E compared to point D?

    <p>The speed at E is greater than the speed at D.</p> Signup and view all the answers

    What is the correct match for Column I: dv/dt?

    <p>Acceleration.</p> Signup and view all the answers

    What does the graph show at point A?

    <p>Object is moving with positive velocity</p> Signup and view all the answers

    What is the direction of motion at point B?

    <p>Positive direction</p> Signup and view all the answers

    What can be said about the object at point C?

    <p>It is moving with negative velocity</p> Signup and view all the answers

    What does the code 'p' represent?

    <p>Object with positive velocity</p> Signup and view all the answers

    What does the code 'q' represent?

    <p>Object at rest</p> Signup and view all the answers

    What does the code 'r' represent?

    <p>Object with negative velocity</p> Signup and view all the answers

    What does the code 's' represent?

    <p>Object changing direction</p> Signup and view all the answers

    What is the format of the Assertion-Reasoning MCQs?

    <p>Assertion (A) and Reason (R)</p> Signup and view all the answers

    Study Notes

    Motion in One Dimension

    • An object can be accelerated if its speed changes by keeping its direction the same or if its direction changes by keeping its speed the same.
    • Displacement in time T can have non-negative values, but acceleration can be negative.
    • The x-t equation x = 2t + 1 represents a straight line, not passing through the origin.

    Velocity and Acceleration

    • The instantaneous velocity of an object at t = 2 s is 14 ms^-1, given the displacement x = 2t + 3t^2.
    • The sign of average velocity depends only on the sign of displacement.

    Circular Motion

    • The average velocity of a particle completing a circle of radius 1m in 10 s is 3.14 m/s.

    Displacement-Time Graph

    • The displacement-time graph of two moving particles making angles of 30° and 45° with the X-axis can have different accelerations.
    • The acceleration of a particle moving along a straight line is given by x = a - bt + gt^2, where a is the acceleration.

    Motion of a Particle

    • The displacement of a particle moving along the X-axis is given by x = 18t + 5t^2.
    • The particle has some initial velocity at t = 0.

    x-t Graph

    • The x-t graph for motion of a car can be divided into three parts: OA, AB, and BC, with different velocities and accelerations.

    Velocity and Acceleration

    • The rate of change of speed is the acceleration of an object.
    • The velocity of an object can be positive or negative, depending on its direction.

    Motion in One Dimension

    • A car moving in a positive direction with a positive acceleration can have a different velocity and acceleration at different points in time.
    • The acceleration of a car can be positive or negative, depending on its direction and velocity.

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