1. Graphical Analysis of SHM
Objectives
(g) select and apply the equation
vmax = (2πf)A for the maximum speed of a simple harmonic oscillator;
(i) describe, with graphical illustrations, the changes in displacement, velocity and acceleration during simple harmonic motion;

2. Outcomes
ALL MUST
Be able to use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations.
MOST SHOULD
Be able to rearrange and then use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations.
Be able to interpret graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;
SOME COULD
Be able to derive the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator
Be able to draw graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;

3. x=Acos(2πft) v=-(2πf)Asin(2πft) a=-(2πf)2Acos(2πft) vmax = (2πf)A
Graphical analysis.
Displacement – time
Velocity – time
Acceleration – time
vmax = (2πf)A
x=Acos(2πft)
v=-(2πf)Asin(2πft)
a=-(2πf)2Acos(2πft)

4. Outcomes
ALL MUST
Be able to use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations.
MOST SHOULD
Be able to rearrange and then use the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator correctly for different situations.
Be able to interpret graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;
SOME COULD
Be able to derive the equation vmax = (2πf)A for the maximum speed of a simple harmonic oscillator
Be able to draw graphical illustrations of the changes in displacement, velocity and acceleration during simple harmonic motion;