1 - Motion Graphs (1)

Physics 10 – Motion

Types of Motion

• Uniform Motion (Constant):

  • Involves an object moving at a constant rate.

  • No acceleration or deceleration.

  • Travels the same distance over equal time periods.

  • Described as speed or velocity.

• Non-Uniform Motion (Accelerated):

  • Involves an object changing velocity (accelerating or decelerating).

  • Speed changes (e.g., speeding up or slowing down).

  • Rate of velocity change is constant over time intervals.

Vocabulary Terms

• Scalar Quantity:

  • Describes magnitude only (e.g., temperature, time, distance, speed).

• Vector Quantity:

  • Describes magnitude and direction (e.g., displacement, velocity, force).

• Position:

  • Vector measurement indicating a point relative to a reference position.

• Distance:

  • Scalar quantity showing the path length between two points (∆d).

• Displacement:

  • Vector quantity representing straight-line distance + direction (d^\rho ∆).

• Speed:

  • Scalar value indicating rate of distance over time (v).

• Velocity:

  • Vector value indicating rate of change of position over time (v^\rho).

• Acceleration:

  • Vector quantity indicating change in velocity (a^\rho).

• Force:

  • Vector quantity describing push or pull on an object, measured in Newtons (N) (F^\rho).

Interpreting Motion Graphs

• Common Graph Types:

  • Displacement-Time Graphs (dt graphs):

    1. Slope = Speed:

       • Steep slope = fast motion; flat = stopped.

    2. Slope Direction:

       • Positive slope = forward; Negative slope = backward.

    3. Shape:

       • Linear = constant speed; Curved = acceleration.

  • Velocity-Time Graphs (vt graphs):

    1. Slope = Acceleration:

       • Steep slope = high acceleration; Flat = no speed change.

    2. Slope Direction:

       • Upward slope = speeding up; Downward slope = slowing down.

Graphical Interpretation and Data Analysis

• For raw data, create a table of values measuring the distance and time intervals to plot a motion graph.

• Analyze graph characteristics to glean insights on motion (starting, stopping, speeding up, slowing down).

Speed and Velocity Formulas

• Speed:[ v_{avg} = \frac{\Delta d}{\Delta t} ]

• Velocity: [ v^{\rho}_{avg} = \frac{\Delta d^{\rho}}{\Delta t} ]

• Units:

  • Distance and displacement: meters (m).

  • Time: seconds (s).

  • Speed and velocity: meters per second (m/s).

Acceleration Analysis

• Basic Acceleration Formula: [ a^{\rho}_{avg} = \frac{\Delta v}{\Delta t} ]

• Units:

  • Standard unit is meters per second squared (m/s²).

Problem Solving Steps

1. Identify knowns and unknowns.

2. Use the appropriate formula relating to the problem.

3. Substitute values and solve algebraically.

4. Present the final answer properly formatted with correct units.