IGCSE PHYSICS MOTION LESSON PLAN
1. Speed definition
      a. Distance travelled per unit time
               ∆s
       b. v=
               ∆t
       c. Speed is a scalar quantity
2. Velocity definition
       a. Speed towards a given direction
       b. Velocity is a vector quantity
3. Average speed formula
                            total distance travelled
       a. average speed=
                                total timetaken
4. Acceleration definition and formula
      a. Rate of change of speed or change of velocity per unit time
               ∆v
       b. a=
               ∆t
5. Distance/speed-time graphs
                                   Distance-time                   Speed-time
   x-axis                          Time                            Time
   y-axis                          Distance/position               Speed/velocity
   The gradient                    Shows speed                     Shows acceleration
   Straight line graph               Constant speed                    Constant acceleration
   Curved line graph                 Changing speed                    Changing acceleration
   Horizontal line graph             At rest; 0 speed                  Constant speed, 0
                                                                       acceleration
   Area under curve                      -                             Shows distance travelled
   Acceleration                      Curved increasing graph           Increasing graph/positive
                                                                       gradient
   Maximum acceleration                                                Steepest gradient
   Deceleration                      Curved decreasing graph           Decreasing graph/negative
                                                                       gradient
6. Speed calculations from s(t) graphs
      a. Limited to straight line graphs
      b. Find two points on the graph, (x1;y1) and (x2;y2)
                           y 2− y1
       c.   speed=m=
                           x 2−x 1
7. Acceleration calculations from v(t) graphs
      a. Limited to straight line graphs
      b. Find two points on the graph, (x1;y1) and (x2;y2)
                           y 2− y1
       c.   speed=m=
                           x 2−x 1
8. Distance calculations from v(t) graphs
       a. Limited to straight line v(t) graphs
       b. Divide the v(t) graph into common shapes
       c. Use known area equations to find the distance
                             1
                i. A ( ∆ )= bh
                             2
                ii. A ( rectangl e )=lb
                                      1
               iii. A ( trapezium )= ( a+b ) h
                                      2
       d. Add up all areas under v(t) to get the total distance travelled.