Physics Chapter 2: Motion in One Dimension
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Questions and Answers

What is the primary difference between distance and displacement?

  • Distance is a vector quantity, while displacement is a scalar quantity.
  • Displacement depends on the path taken, while distance is the straight-line distance between two points.
  • Distance and displacement are the same concepts.
  • Distance is a scalar quantity, while displacement is a vector quantity. (correct)
  • Average velocity is calculated by taking the total distance traveled divided by the total time taken.

    False

    How is average velocity defined mathematically?

    Average velocity (V) = Displacement (ΔX) / Time interval (Δt)

    In a position-time graph, the slope represents the _____ of the object.

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

    Match the following terms with their correct definitions:

    <p>Distance = Total path length covered irrespective of direction Displacement = Shortest straight-line distance from starting to ending point Velocity = Rate of change of displacement Speed = Rate of change of distance</p> Signup and view all the answers

    If a particle moves from position A to position B and then returns to A, what is the displacement?

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

    Speed is always greater than or equal to average velocity.

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

    What does a steeper slope on a position-time graph indicate?

    <p>A higher velocity of the object.</p> Signup and view all the answers

    What is the formula for average speed?

    <p>Total distance travelled / Total time</p> Signup and view all the answers

    Average speed is a vector quantity that includes direction.

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

    What is the average velocity of a car that moves from point A (30m) to point F (-53m) in 50 seconds?

    <p>-1.7 m/s</p> Signup and view all the answers

    The average velocity is calculated by dividing __________ by total time.

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

    Match the quantities with their correct definitions:

    <p>Displacement = The change in position of an object Distance = The total path travelled regardless of direction Average Speed = Total distance travelled divided by time taken Average Velocity = Displacement divided by time taken</p> Signup and view all the answers

    Which of the following correctly describes instantaneous velocity?

    <p>The velocity at a single point in time</p> Signup and view all the answers

    If the slope of a position-time graph is negative, the object is moving to the right.

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

    The total distance travelled from point A to point F is __________ meters.

    <p>127</p> Signup and view all the answers

    What is the primary difference between distance and displacement?

    <p>Distance is a scalar quantity, while displacement is a vector quantity.</p> Signup and view all the answers

    The average velocity can be calculated by dividing the total distance traveled by the total time taken.

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

    What happens to the velocity when the acceleration is negative?

    <p>The velocity decreases.</p> Signup and view all the answers

    The slope of a position-time graph represents the _____ of an object.

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

    Match the following terms related to motion with their definitions:

    <p>Distance = Total path length traveled Displacement = Change in position from start to finish Velocity = Rate of change of position Acceleration = Rate of change of velocity</p> Signup and view all the answers

    If a particle's position is given by the equation $x = 2 + 3t - 4t^2$, what is its initial position when t=0?

    <p>2 meters</p> Signup and view all the answers

    An object moving in uniform velocity has a zero acceleration.

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

    What is the formula for calculating average speed?

    <p>Total distance / Total time</p> Signup and view all the answers

    Study Notes

    Distance vs Displacement

    • Distance is the total length of the path traveled by an object.
    • Displacement is the change in position of an object from its initial point to its final point. It is a vector quantity, meaning it has both magnitude and direction.

    Average Velocity

    • Average velocity is the rate of change of displacement over time.
    • Mathematical definition: Average velocity = (Final displacement - Initial displacement) / Total time.

    Position-Time Graph

    • The slope of a position-time graph represents the velocity of the object.
    • A steeper slope indicates a higher velocity.
    • A negative slope indicates that the object is moving in the opposite direction of the positive direction.

    Matching Terms

    • Speed is the rate at which an object covers distance. It is a scalar quantity, meaning it only has magnitude.
    • Average speed is the total distance traveled divided by the total time taken.
    • Instantaneous velocity is the velocity of an object at a particular instant in time.
    • Acceleration is the rate of change of velocity.

    Calculating Average Velocity

    • The total distance traveled from point A (30m) to point F (-53m) is 83 meters.
    • The average velocity of the car is -1.66 m/s.
    • This is calculated by dividing the total displacement (-83m) by the total time (50 seconds).

    Additional Information

    • Speed is always greater than or equal to average velocity. This is because speed considers the total distance traveled, while average velocity considers only the displacement.
    • If the acceleration is negative, the velocity will decrease.
    • The initial position of a particle with position equation x = 2 + 3t - 4t^2 is 2 meters when t=0.
    • An object moving in uniform velocity has zero acceleration.
    • The formula for calculating average speed is: Average speed = Total distance traveled / Total time taken.

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    Description

    Test your knowledge on the concepts of motion in one dimension with this quiz. Explore fundamental topics such as displacement, velocity, and acceleration. This quiz will help you reinforce your understanding of both qualitative and quantitative aspects of motion.

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