1. S v t t
Gradient of ST graph = Gradient of a VT graph = Area under a VT graph =
Velocity
Acceleration
Displacement

2. Variable Acceleration
Know how displacement, velocity, and acceleration are linked by calculus
Understand how to use calculus to find equations
Be able to add something here... It’s alright Kim, no one reads this. Hey, Kim isn’t even your name.

3. General Motion
When acceleration is not constant we can use calculus to help use link a, v and s
We can differentiate when we would have considered gradients
We can integrate when we would have considered areas.
To use this method you need an equation as a function of time.

4. Differentiation
Example: s = 3t5 + 2t3 + t + 5 find v and a when t = 1

5. Integration If a = f(t) If v = g(t) Example:
a = 2t find the change in velocity between t =0 and t = 2

6. Displacement
Differentiate
Velocity
Integrate
Acceleration

7. A particle moves in a straight line
A particle moves in a straight line. Its velocity t s after leaving a fixed point on the line is v ms-1 where v = t + 0.1t2. Find an expression for the acceleration of the particle at time t and the distance travelled by the particle from time t = 0 until the instant when its acceleration is 2.8ms-2.

8. Some solutions require double diff. or integration
Puzzle Time
Some solutions require double diff. or integration

9. Calculus Techniques Required
You will be required to use ideas from C3 also.

10. Independent Study
Exercise A p 46 (solutions p 153)