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P9 · 4.9Paper 2🔶 Yr11 — new

Motion — Speed, Velocity & Graphs

Speed, velocity, acceleration, distance-time graphs, velocity-time graphs. Graph interpretation and calculations both examined heavily.

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Key facts

Key equations

  • Speed = distance ÷ time (v = d/t). Units: m/s.
  • Velocity — speed in a given direction (vector). Can change even at constant speed if direction changes.
  • Acceleration = change in velocity ÷ time (a = Δv/t). Units: m/s².
  • Negative acceleration = deceleration (slowing down).
  • v² = u² + 2as (higher tier — used when time is not given).
  • s = ut + ½at² (higher tier — distance with initial velocity u and acceleration a).

Distance-time graphs

  • Gradient = speed.
  • Horizontal line = stationary.
  • Straight line (not horizontal) = constant speed.
  • Curved line = changing speed (acceleration or deceleration).
  • Steeper gradient = faster speed.

Velocity-time graphs

  • Gradient = acceleration.
  • Area under graph = distance travelled.
  • Horizontal line = constant velocity (zero acceleration).
  • Straight line going up = constant acceleration.
  • Straight line going down = constant deceleration.
  • Curve = changing acceleration.

Typical exam questions

  • Calculate speed from DT graph gradient.
  • Calculate acceleration from VT graph gradient.
  • Calculate distance from area under VT graph (triangles + rectangles).
  • Describe motion from a given graph.
  • Draw a VT graph for a described journey.
Exam questions — 4 questions · 12 marks
Extended questions included. Show all working for calculation questions. The AI marks against the real AQA mark scheme.
1 markDistance-time graphAQA 8463 P2 style

On a distance-time graph, what does a horizontal line represent?

A Constant speed
B The object is stationary (zero speed)
C The object is accelerating
D The object is decelerating
4 marksVelocity-time graph analysisAQA 8463 P2 style

A car accelerates from rest to 20 m/s in 8 seconds, travels at constant velocity for 12 seconds, then decelerates uniformly to rest in 4 seconds. (a) Calculate the acceleration in the first phase. (b) Calculate the total distance travelled. (4 marks)

Hint: (a) a = Δv/t. (b) Split the VT graph into triangles and rectangles. Area of each = distance. Add them up.
+40 XP
3 marksDescribe motion from graphAQA 8463 P2 style

Describe the motion of an object whose distance-time graph shows: (0-5s) a straight line with positive gradient, (5-10s) a horizontal line, (10-15s) a steeper straight line with positive gradient. (3 marks)

Hint: Gradient = speed. Horizontal = stationary. Steeper gradient = faster. Describe each section.
+30 XP
1 markArea under VT graphAQA 8463 P2 style

What does the area under a velocity-time graph represent?

A The acceleration of the object
B The force acting on the object
C The distance travelled by the object
D The average speed of the object

Module complete! 🎉

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+10 XP