Graphs of motion Distance/Displacement vs time Speed/Velocity vs time Acceleration vs time.

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Presentation transcript:

Graphs of motion Distance/Displacement vs time Speed/Velocity vs time Acceleration vs time

Relationships (1) The slope of a distance-time graph represents the speed of an object: Time (s) Distance (s) Time (s) Distance (s) Time (s) Distance (s) STATIONARYFORWARD FASTBACKWARD SLOWLY

Relationships (2) The slope of a velocity-time graph represents the acceleration of an object: Time (s) Velocity (m/s) Time (s) Velocity (m/s) Time (s) Velocity (m/s) CONSTANT VEL.ACCELERATING FAST DECELLERATING SLOWLY

Relationships (3) The area under a velocity-time graph represents the distance travelled: Time (s) Velocity (m/s) Time (s) Velocity (m/s) Time (s) Velocity (m/s) Area = velocity x time Area = average velocity x time

Example from hyperphysics website These graphs show the journey of an object. The object accelerates away from its starting position at 4m/s 2 for the first 4 s. It then travels at a constant velocity of 16 m/s for 3s. The object then decellerates at - 2m/s 2 until it is stopped 15 seconds into its journey. It continues to “decellerate” or travel backwards faster and faster towards its starting position. At 23 seconds it is travelling backwards at 16 m/s but now slows down and stops after 27 seconds at a distance of about 60 m from where it started.