Physics Motion and Graphs Quiz

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Questions and Answers

What distinguishes speed from velocity?

  • Speed includes direction, whereas velocity does not.
  • Speed can change without affecting velocity.
  • Speed is a vector quantity, while velocity is a scalar quantity.
  • Speed is a scalar quantity, while velocity is a vector quantity. (correct)

Which of the following equations of motion relates the five quantities together?

  • $v = u + at$
  • $s = ut + \frac{1}{2}at^2$
  • $v^2 = u^2 + 2as$
  • All of the above (correct)

When a question states 'from rest', what does it imply about the initial velocity?

  • Initial velocity u is equal to final velocity v.
  • Initial velocity u = 1 m/s.
  • Initial velocity u is unknown.
  • Initial velocity u = 0 m/s. (correct)

If an object takes 4 seconds to reach the highest point when lifted vertically, how long will it take to fall back to Earth?

<p>4 seconds. (B)</p> Signup and view all the answers

What must be true about vectors in a physics problem to ensure proper calculation?

<p>All vectors in one direction should be considered positive, and the opposite direction negative. (C)</p> Signup and view all the answers

What is the unit for acceleration?

<p>m/s/s (B), m/s2 (D)</p> Signup and view all the answers

How is acceleration calculated?

<p>Change in velocity divided by time (D)</p> Signup and view all the answers

What is the area under the line in a velocity-time graph indicative of?

<p>The distance travelled (B)</p> Signup and view all the answers

What is the area of the light-blue triangle in the graph if its width is 4 seconds and height is 8 m/s?

<p>16 m (D)</p> Signup and view all the answers

Which of the following is a vector quantity?

<p>Velocity (B)</p> Signup and view all the answers

Under what circumstances does a vector quantity change?

<p>All of the above (D)</p> Signup and view all the answers

What is the total distance travelled if the area of the light-blue triangle is 16 m and the area of the dark-blue rectangle is 48 m?

<p>64 m (B)</p> Signup and view all the answers

Which of the following is NOT a scalar quantity?

<p>Force (A)</p> Signup and view all the answers

What does a horizontal line on a distance-time graph indicate?

<p>The object is stationary. (B)</p> Signup and view all the answers

How can you determine the speed of an object from a distance-time graph?

<p>By finding the slope of the line at any point. (B)</p> Signup and view all the answers

What does a line with a steeper slope on a distance-time graph indicate compared to a line with a shallower slope?

<p>The object is moving more quickly. (B)</p> Signup and view all the answers

What is the correct definition of velocity as opposed to speed?

<p>Velocity includes direction as well as speed. (D)</p> Signup and view all the answers

What does a downward sloping line on a velocity-time graph represent?

<p>An object experiencing constant deceleration. (B)</p> Signup and view all the answers

Which of the following best describes a velocity-time graph for an object moving with constant velocity?

<p>The line is horizontal. (C)</p> Signup and view all the answers

How is acceleration calculated according to the relationship between velocity and time?

<p>Change in velocity divided by time taken. (C)</p> Signup and view all the answers

In a velocity-time graph, what does a straight line with a positive slope represent?

<p>Constant acceleration. (A)</p> Signup and view all the answers

Flashcards

Distance-time graph

A graph showing how far an object travels over time.

Stationary object (graph)

Object not moving; horizontal line on distance-time graph.

Constant speed (graph)

Object moving at a steady speed in a straight line; straight sloped line on distance-time graph.

Velocity

Speed in a particular direction.

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Velocity-time graph

Graph showing speed and direction of an object over time.

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Constant velocity (graph)

Object moving at a constant speed in a constant direction; horizontal line on velocity-time graph.

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Acceleration

Rate of change of velocity.

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Deceleration

Decrease in velocity; negative acceleration.

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Scalar vs. Vector

Scalar quantities have magnitude only (e.g., speed, time), while vector quantities have both magnitude and direction (e.g., velocity, displacement).

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Speed vs. Velocity

Speed is the rate at which an object changes position, while velocity is speed in a particular direction.

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Geostationary Satellite

A satellite that orbits Earth at the same rate as Earth's rotation, appearing stationary from the ground.

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Equations of Motion

Mathematical equations used to describe and predict the motion of objects, relating initial velocity, final velocity, acceleration, time, and displacement.

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Acceleration due to Gravity

The constant rate at which objects fall towards Earth, approximately 9.8 m/s².

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Acceleration Calculation

Acceleration is calculated by dividing the change in velocity by the time taken for the change.

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Acceleration Units

The units of acceleration are m/s² (metres per second squared).

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Velocity-Time Graph Area

The area under a velocity-time graph represents the distance travelled.

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Scalar Quantity

A quantity with only magnitude (size), no direction.

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Vector Quantity

A quantity with both magnitude and direction.

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Scalar Examples

Examples of scalar quantities include distance, speed, time, power, and energy.

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Vector Examples

Examples of vector quantities include displacement, velocity, acceleration, force, weight, and momentum.

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Difference Between Scalar and Vector

The key difference between scalar and vector quantities is that vectors have a direction, whereas scalars do not.

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Study Notes

Analysing Motion

  • Average speed is calculated by dividing the distance travelled by the time taken.
  • Formula: average speed = distance moved / time taken
  • Units: Average speed is measured in meters per second (m/s), distance in meters (m), and time in seconds (s).
  • Example: A car travels 300 meters in 20 seconds, its average speed is 15 m/s.

Distance-Time Graphs

  • Graphs show how far something travels over a specific time period.
  • Vertical axis represents distance from a starting point.
  • Horizontal axis represents time from a starting point.
  • Stationary objects show a horizontal line on the graph.
  • Objects moving at a constant speed in a straight line show a straight sloped line on the graph.

Acceleration

  • Acceleration is calculated by the change in velocity divided by the time taken.
  • Formula: acceleration = (final velocity - initial velocity) / time.
  • Velocity is speed and direction, while speed is only magnitude.
  • Example: -15 m/s means moving backwards at 15 metres per second
  • Units: Acceleration is measured in meters per second squared (m/s²).

Velocity-Time Graphs

  • Graphs show the speed and direction of an object over a specific time period.
  • Vertical axis represents velocity. Horizontal axis represents time from a starting point.
  • Constant velocity shows a horizontal line on the graph.
  • Constant acceleration shows a straight, sloped line on the graph.
  • The steepness of the line represents the acceleration of the object.
  • Deceleration is represented by a line sloping downwards in a velocity-time graph with negative gradient.

Acceleration Calculation

  • Method: Calculate the acceleration by dividing the change in velocity by the time it takes.
  • Formula: a = (v - u) / t
  • Units: (m/s²). Velocity is measured in meters per second (m/s), and time in seconds (s).

Area Under Velocity-Time Graphs

  • Area under the graph represents the distance travelled.
  • Using triangles and rectangles, calculate the area to find distance covered

Scalar and Vector Quantities

  • Scalar quantities have magnitude only (e.g., speed, distance, time, energy).
  • Vector quantities have both magnitude and direction (e.g., velocity, displacement, acceleration, force, weight, momentum).
  • Vector quantities change when their magnitude, direction, or both change.

Equations of Motion

  • Used to describe the motion of objects in a straight line with constant acceleration.
  • Key variables: Initial velocity (u), final velocity (v), acceleration (a), time (t), and displacement (s).
  • Four equations: v = u + at, s = ut + ½at², v² = u² + 2as, and v + u/ 2 = t.
  • If a question mentions from rest, u = 0, and you would use the equations
  • Acceleration due to gravity is 9.8 m/s².

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