## Mechanics

The Mechanics element of the AS-Level in Mathematics consists of the following topic areas:
Quantities & Units in Mechanics, Kinematics and Forces & Newton’s Laws. In addition to these topics, the A-Level in Mathematics also covers Moments. See bottom of the page for things you should memorise for AS Mechanics.

### Quantities & Units in A-Level Maths:

In addition to the above:

• (no additional content)

### Kinematics in A-Level Maths:

In addition to the above (including extension to two dimensions in some areas):

• projectile motion under gravity

### Forces & Newton’s Laws in A-Level Maths:

In addition to the above (where resolution in two dimensions is also required) the following topics are covered:

• resultant forces and dynamics
• friction

### Moments in AS-Level Maths:

• Not covered in AS-Level Maths

### Moments in A-Level Maths:

In addition to the above:

• using moments in problems with static rigid bodies in equilibrium

## Things to remember for AS Mechanics

### The SUVAT Equations

$\hspace{10pt}V=U+AT$
$\hspace{10pt}S=\left(\frac{U+V}{2}\right)T$
$\hspace{10pt}V^2=U^2+2AS$
$\hspace{10pt}S=UT+\frac{1}{2}AT^2$
$\hspace{10pt}S=VT-\frac{1}{2}AT^2$

Go to the SUVAT Equations page

### Variable Acceleration

• ${\bf v}=\frac{d{\bf r}}{dt}$
• ${\bf a}=\frac{d{\bf v}}{dt}=\frac{d^2{\bf r}}{dt^2}$
• ${\bf v}=\int{\bf a}dt$
• ${\bf r}=\int{\bf v}dt=\int\left(\int{\bf a}dt\right)dt$

Go to Variable Acceleration page.

### Other

• Gravity: $g=9.8m/s^2$
• Resultant Force: $F=ma$
• Friction: $F\leq \mu R$, at maximum when object is moving or about to move.