Physics: Rate of Change of Velocity
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Questions and Answers

What is the formula used to calculate the acceleration of the bicycle in both cases?

  • a = (u + v)/t
  • a = (v + u)/t
  • a = (u - v)/t
  • a = (v - u)/t (correct)
  • What is the acceleration of the bicycle in the second case?

  • 0.4 m/s^2
  • -0.2 m/s^2
  • 0.2 m/s^2
  • -0.4 m/s^2 (correct)
  • What does a negative acceleration indicate?

  • The object is accelerating at a constant rate.
  • The object is moving in the opposite direction to its initial velocity. (correct)
  • The object is moving in the same direction as its initial velocity.
  • The object is at rest.
  • Which of the following is a type of graph used to represent motion?

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

    What is the initial velocity of the bicycle in the second case?

    <p>6 m/s</p> Signup and view all the answers

    What is the SI unit of acceleration?

    <p>m/s²</p> Signup and view all the answers

    If an object is moving with constant velocity, what is the acceleration?

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

    What characterizes uniform acceleration?

    <p>Velocity changes by equal amounts in equal time intervals.</p> Signup and view all the answers

    In the example of Rahul paddling his bicycle, what is the initial acceleration as he reaches 6 m/s in 30 seconds?

    <p>0.3 m/s²</p> Signup and view all the answers

    What does it indicate when acceleration is negative?

    <p>The object is slowing down.</p> Signup and view all the answers

    When velocity varies with time and is not consistent, how is this type of acceleration described?

    <p>Non-uniform acceleration</p> Signup and view all the answers

    Study Notes

    Rate of Change of Velocity: Acceleration

    • Uniform motion maintains constant velocity, leading to zero change in velocity.
    • Non-uniform motion exhibits varying velocity over time, resulting in a non-zero change in velocity.
    • Acceleration quantifies the rate of change of velocity, defined as:
      • ( a = \frac{\Delta v}{t} = v - u )
    • Initial velocity represented as 'u', final velocity as 'v', over a time interval 't'.
    • SI unit of acceleration is meters per second squared (m/s²).
    • Acceleration classifications:
      • Positive acceleration occurs when velocity increases in the direction of motion.
      • Negative acceleration (deceleration) happens when velocity decreases in the direction of motion.
      • Zero acceleration applies when velocity remains constant.

    Types of Acceleration

    • Uniform Acceleration:

      • Occurs when an object’s velocity changes by equal amounts during equal time intervals.
      • Example includes free falling objects under gravity.
    • Non-Uniform Acceleration:

      • Present when an object’s velocity changes by unequal amounts over equal time intervals.
      • Example: Rahul's bicycle accelerates and decelerates in defined periods.

    Example Calculation of Acceleration

    • Case 1 (Acceleration):

      • Initial velocity ( u = 0 ) m/s, Final velocity ( v = 6 ) m/s, Time ( t = 30 ) s.
      • Acceleration calculated as:
        ( a = \frac{(6 - 0)}{30} = 0.2 ) m/s².
    • Case 2 (Deceleration):

      • Initial velocity ( u = 6 ) m/s, Final velocity ( v = 4 ) m/s, Time ( t = 5 ) s.
      • Acceleration calculated as:
        ( a = \frac{(4 - 6)}{5} = -0.4 ) m/s².

    Graphical Representation of Motion

    • Graphs serve as effective tools for visually presenting motion-related information.
    • Distance-Time graphs show distance on the Y-axis and time on the X-axis.
    • Velocity-Time graphs illustrate velocity on the Y-axis versus time on the X-axis.

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    Description

    Explore the concepts of acceleration and uniform versus non-uniform motion in this quiz. Understand how acceleration measures the rate of change of velocity, and review its calculations and units. Perfect for students studying physics principles related to motion.

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