1. Velocity, speed and acceleration 5m/s velocity 5m/s North East 5m/s speed 5m/s going round Velocity is speed in a given direction An object moving at a steady speed is accelerating if its direction is changing

6. Acceleration = change in velocity (m/s) time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln =  v = 12 m/s  t 6 s = 2m/s/s

7. Acceleration = change in velocity (m/s) time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln =  v = 12 m/s  t 6 s = 2m/s/s

8. Acceleration = change in velocity (m/s) time (s) (m/s/s) Acceleration is the change in velocity each second. eg What is the acceleration of the cyclist? Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln =  v = 12 m/s  t 6 s = 2m/s/s

9. Initial speed = 8 m/s final speed = 20 m/s time taken = 6 sec acceln =  v = 12 m/s  t 6 s = 2m/s/s Calculate these accelerations: Q1. A motor bike accelerates from 10m/s to 20m/s in 2 sec. Q2. Concorde accelerates from rest to 40m/s in 10 sec. Q3. A wasp accelerates from 2m/s to 6m/s in 1sec.

10. a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

11. a. Steady Acceleration: acceln =  v =  t a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

12. a. Steady Acceleration: acceln =  v = 10 m/s = 2 m/s/s  t 5 s a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

13. a. Steady Acceleration: acceln =  v = 10 m/s = 2 m/s/s  t 5 s b. Uniform Velocity: a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

14. a. Steady Acceleration: acceln =  v = 10 m/s = 2 m/s/s  t 5 s b. Uniform Velocity: 10m/s ( zero acceln ) a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

15. a. Steady Acceleration: acceln =  v = 10 m/s = 2 m/s/s  t 5 s b. Uniform Velocity: 10m/s ( zero acceln ) c. Steady deceleration: (- ve Acceleration) acceln =  v = -  t a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

16. a. Steady Acceleration: acceln =  v = 10 m/s = 2 m/s/s  t 5 s b. Uniform Velocity: 10m/s ( zero acceln ) c. Steady deceleration: (- ve Acceleration) acceln =  v = -10 m/s = -1 m/s/s  t 10 s a b c Velocity (m/s) 10 5 0 5 10 15 20 25 time / s Acceleration is the gradient or slope of a velocity : time graph.

17. The distance travelled is the area under a v:t graph. Velocity m/s 10 5 0 5 10 15 20 25 time / s

18. The distance travelled is the area under a v:t graph. Velocity m/s 10 5 0 5 10 15 20 25 time / s b a c

19. The distance travelled is the area under a v:t graph. Velocity m/s 10 5 0 5 10 15 20 25 time / s 5 x 10 = 25m 2 b a c

20. The distance travelled is the area under a v:t graph. Velocity m/s 10 5 0 5 10 15 20 25 time / s 5 x 10 = 25m 2 10 x 10 = 100m b a c

21. The distance travelled is the area under a v:t graph. Velocity m/s 10 5 0 5 10 15 20 25 time / s 5 x 10 = 25m 2 10 x 10 = 100m 10 x 10 = 50m 2 b a c

22. If investigating how the slope of a runway affects a trolley’s acceleration: a) Name 1. The independent variable 2. The dependent variable b) What is the relationship between the variables?

23. If investigating how the slope of a runway affects a trolley’s acceleration: a) Name 1. The independent variable 2. The dependent variable b) What is the relationship between the variables?

24. If investigating how the slope of a runway affects a trolley’s acceleration: a) Name 1. The independent variable 2. The dependent variable b) What is the relationship between the variables? Distance from sensor Time

27. Which car has the highest acceleration? X or Y