Physics: Distance and Velocity Graphs

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Questions and Answers

What does the slope of a distance-time graph represent?

  • Acceleration
  • Distance
  • Speed (correct)
  • Time

Which type of graph shows a change in speed over time?

  • Distance-time graph
  • Speed-time graph
  • Acceleration-time graph (correct)
  • Velocity-time graph

If an object is accelerating at a constant rate, what would the graph representing this look like?

  • A curved line increasing in steepness
  • A straight horizontal line
  • A straight vertical line
  • A straight diagonal line (correct)

How would an object moving with a greater acceleration be represented on a velocity-time graph compared to one with less acceleration?

<p>By a steeper slope (B)</p> Signup and view all the answers

In what case would a velocity-time graph show a horizontal line?

<p>The object is moving at a constant speed (B)</p> Signup and view all the answers

What does a flat line on a speed vs. time graph indicate?

<p>The object is moving at a constant speed. (C)</p> Signup and view all the answers

What is the acceleration for B based on the provided values?

<p>20 m/min/min (D)</p> Signup and view all the answers

How is acceleration defined?

<p>The rate at which velocity changes. (A)</p> Signup and view all the answers

What is the acceleration of A according to the given data?

<p>160 m/min/min (A)</p> Signup and view all the answers

Which statement about acceleration is true?

<p>Acceleration is represented by the slope on a speed vs. time graph. (B)</p> Signup and view all the answers

Flashcards

Distance-Time Graph

A graph that shows the relationship between distance traveled and the time taken.

Constant Acceleration Graph

A straight line on a velocity-time graph. The slope of the line represents the constant rate of change in velocity.

Velocity-Time Graph

A graph that displays the connection between velocity and time. A straight line indicates uniform acceleration.

Acceleration

Rate of change of velocity. It shows how quickly velocity is increasing or decreasing.

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Deceleration

A negative acceleration (decreasing velocity).

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Slope on Speed-Time Graph

The slope of a speed-time graph represents the acceleration of an object. A steeper slope indicates a higher acceleration, while a flatter slope indicates a lower acceleration.

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Constant Speed on Speed-Time Graph

A flat line on a speed-time graph represents constant speed. This means the object is not accelerating, even though it is moving.

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Calculate Acceleration

Acceleration can be calculated by finding the change in speed divided by the change in time. This is represented by the slope of a speed-time graph.

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Study Notes

Distance-Time Graphs

  • Graphs plotting distance against time show motion.
  • Time is plotted on the x-axis (horizontal).
  • Distance is plotted on the y-axis (vertical).
  • A horizontal line on a distance-time graph indicates no movement (at rest).
  • A diagonal line shows constant speed.
  • A steeper line represents a higher speed.
  • Curved lines indicate acceleration (speed is changing).

Speed vs Velocity

  • Speed is the rate of motion, focusing on the magnitude.
  • Velocity is speed with direction included.
  • Example: 20 m/s is speed; 20 m/s east is velocity.

Speed Graphs: Distance-Time

  • Time increasing to the right on a graph means time increases.
  • Distance increasing vertically on the graph means distance increases from the starting point.
  • Constant speed is represented by a straight line.
  • Non-moving objects have a horizontal line.
  • Steeper lines represent higher speeds.

Acceleration Graphs: Velocity-Time

  • Acceleration is the rate of change of velocity.
  • In a velocity-time graph, the gradient (slope) of the line equals the acceleration.
  • A flat line indicates no acceleration (constant velocity).
  • An upward curving line represents increasing acceleration.
  • A downward curving line represents decreasing acceleration or deceleration.
  • A negative gradient indicates deceleration.

Analyzing Acceleration Graphs

  • Graphs showing acceleration and deceleration will have different shapes.
  • Using graphs to analyze motion shows constant acceleration, deceleration, increasing/decreasing acceleration, or no acceleration.
  • The slope of a line on a graph shows acceleration.

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