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Questions and Answers

What is the definition of instantaneous acceleration?

  • The slope of the curve of velocity versus time
  • The rate at which the velocity of a particle is changing at any instant (correct)
  • The second derivative of the position of a particle with respect to time
  • The average acceleration of a particle over a time interval

    • Which equation represents the average acceleration of a particle over a time interval t, when the particle has velocity v1 at time t1 and then velocity v2 at time t2?

  • $a_{avg} = \frac{v_2 - v_1}{t_2 - t_1}$ (correct)
  • $a_{avg} = \frac{v_1 - v_2}{t_2 - t_1}$
  • $a_{avg} = \frac{v_1 - v_2}{t_1 - t_2}$
  • $a_{avg} = \frac{v_2 - v_1}{t_1 - t_2}$

    • How can the acceleration of a particle be calculated using its position and time?

  • By taking the second derivative of the position with respect to time (correct)
  • By taking the derivative of the velocity with respect to time
  • By taking the first derivative of the position with respect to time
  • By taking the integral of the position with respect to time

    • What are the units of acceleration?

    <p>Meter per second per second (m/s^2)</p> Signup and view all the answers

    What does the algebraic sign of acceleration represent?

    <p>The direction of acceleration</p> Signup and view all the answers

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