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1.2.4Motion, Forces and Energy

Speed-Time Graphs — Cambridge IGCSE Physics 0625 Revision Notes & Topical Questions

5 min read 7 parts Lesson 15 of 91 1 quiz

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Lesson summary

1.2.4 Speed-Time Graphs — IGCSE Physics Notes — IGCSE PHYSICS notes: Describe motion from speed-time graphs and find distance from the area under the graph.LineMeaningHorizontal at zeroStationaryHorizontal above zeroConstant speed, zero accelerationStraight upward slopeConstant p…

  • Positive gradient
  • Negative gradient
  • Total distance
  • Part of a journey
  • Mixed shapes
  • Area under graph

Part 1 of 5Reading speed-time graphs

LineMeaning
Horizontal at zeroStationary
Horizontal above zeroConstant speed, zero acceleration
Straight upward slopeConstant positive acceleration
Straight downward slopeConstant deceleration
Steeper slopeGreater acceleration

Part 2 of 5Gradient

Meaning
  • Meaning the gradient of a speed-time graph is the acceleration
Positive gradient
  • Positive gradient speed increases
Negative gradient
  • Negative gradient speed decreases

Part 3 of 5Plotting a speed-time graph

1
Label the x-axis with time and the y-axis with speed.
2
Choose sensible scales so the graph fills more than half of the grid.
3
Plot the points from the data.
4
Join with horizontal lines for constant speed and sloped lines for changing speed.

Part 4 of 5Distance from the area

1Area under the graph
  • Area under the graph it represents the distance travelled
2Triangle
  • Triangle area = ½ × base × height
3Rectangle
  • Rectangle area = base × height
4Total distance
  • Total distance find the total area under the graph
5Part of a journey
  • Part of a journey find the area for the chosen time interval only
6Mixed shapes
  • Mixed shapes split the area into triangles and rectangles and add them

Part 5 of 5More from the specification

More from the specification
Interpreting Distance-Time and Speed-Time Graphs
  • On a distance-time graph, the gradient represents speed,
  • whereas on a speed-time or velocity-time graph, the gradient represents acceleration and the area under the line equals the distance travelled by the object.
Velocity as a Vector Quantity
  • Velocity represents the rate of change of displacement and includes direction;
    • opposite directions of moving objects are assigned opposite mathematical signs.
Forces and Terminal Velocity
  • When an object falls, downward gravitational weight initially exceeds upward air resistance;
  • as speed increases, drag increases until resultant force equals zero,
  • resulting in a constant average terminal velocity.
Gravitational field
  • Region where mass experiences gravitational force.
Field strength
  • G = Fg/m.
Velocity
  • Rate of change of displacement.
Resistance
  • Opposition to current, R = V / I, in ohms (Ω).
Weight
  • Gravitational force on a mass.
Terminal
  • Connection point of a cell, labelled + or −.
Distance-time graph
  • Graph of distance against time showing movement.
Average speed
  • Total distance divided by total time.
Terminal velocity
  • Constant speed when air resistance equals weight.
Resultant force
  • Another name for net force.

Key terms

TermMeaning
Speed-time graphGraph of speed against time.
GradientAcceleration on a speed-time graph.
Area under graphDistance travelled.
Constant accelerationStraight sloping line.
DecelerationNegative acceleration.
BaseTime width of a section.

Avoid these mistakes

1
Thinking a horizontal line means stationary on a speed-time graph — it means constant speed.
2
Using the gradient for distance — the gradient gives acceleration and the area gives distance.
3
Forgetting the ½ for a triangle — area = ½ base × height.
4
Using the whole area for a time interval — use only the section in the interval.

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