1. Kinematics Formulae & Problems Day #1

2. Recall From a position-time graph: From a velocity-time graph:
The slope yields velocity
From a velocity-time graph:
The slope yields acceleration
The area under the curve yields displacement
We will use these facts to derive the kinematics formulae.

3. Using a d-t graph… Using the slope formula: (t2, ) (t1, )
** Only formula for uniform motion.

4. Using a v-t graph…
Using the slope formula:
(t2, )
(t1, ) t

5. Using a v-t graph #1 Calculating the area of a triangle and rectangle:
Aside:

6. Using a v-t graph #2 Calculating the area of rectangle and
subtracting a triangle:
(t2, )
(t1, ) t

7. Using a v-t graph #3 Calculating the area of a trapezoid: (t2, )b h a

8. The Final Kinematics Formula…

9. Example #1 A car drives at a constant speed of 108km/h
What is it’s speed in m/s
How far does it travel in 60s (answer in m)
How long would it take to drive 3.0km?

10. Example #2 If the car in 1) has to stop suddenly, find
The acceleration of the car if it stops in 6 seconds
The car’s stopping distance
The car’s stopping distance if the car was moving 10% faster
What does this tell you about speeding?