Please download the PDF of this resource using the Download PDF link in the banner above.

Below is an interactive which supports the resource. The interactive can be launched by clicking on its image, or through links in the PDF itself.

Some resources have pre-requisites; where this is the case, you'll be able to access any required resources through the Pre-requisites section.

- Displacement
- Speed
- Velocity
- Acceleration
- SUVAT equations
- Resolving a vector into two perpendicular components
- Projectile motion
- Fluid flow rate

- Algebra
- Trigonometry
- Trigonometric identities
- Quadratic

Fireboats are used to fight fires in coastal areas to protect, for example, boats in marinas, bridges over rivers and waterside property. They are also used offshore to, for example, fight fires on oil rigs.

In order to be effective, they must be able to pump enough water at sufficient speed to reach a fire from a safe distance, and also be able to aim the water stream high enough to reach fires that may be significantly above the water level.

How can the path of the water stream be described mathematically and how can this be used to predict height and reach?

Resources

**Mechanical:** Centre of gravity | Forces | Moments

**Mathematics:** Ratios | Algebra

**Prerequisites: ** None

Resources

**Mechanical:** Centre of gravity | Forces | Moments | Reactions | Resolving forces on an inclined plane

**Mathematics:** Angles | Trigonometric identities

**Prerequisites: ** Centre of gravity of composite bodies

Resources

**Mechanical:** Forces | Friction

**Mathematics:** Trigonometric calculations and identities

**Prerequisites: ** Forces, centre of gravity, reactions and stability

Resources

**Mechanical:** Forces | Reaction | Pressure | Moments

**Mathematics: **Algebra | Areas and volumes | Arithmetic | Integration

**Prerequisites: ** Centre of gravity, reactions and stability & Friction and sliding

Resources

**Mechanical:** Direct forces | Concurrent co-planar forces | Forces diagram | Resultant of a set co-planar forces | Conditions for equilibrium and motion | Newton's second law

**Mathematics:** Vector addition | Resolving a vector into two perpendicular components | Trigonometric functions for sine and cosine | Trigonometric identities | Simultaneous equations

**Prerequisites: **None

Resources

**Mechanical:** Displacement | Speed | Velocity | Acceleration | SUVAT equations | Distance-time graphs | Velocity-time graphs | Acceleration-time graphs

**Mathematics:** Algebra | Gradients | Graphs | Quadratic equations

**Prerequisites: ** None