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AQA GCSE Physics

Revision Notes
(Stopping Distances)

Factors Affecting Braking Distance

Factors Affecting Braking Distance

Road Surface Conditions

The condition of the road surface has a major impact on braking distance because it affects the friction between the tyres and the road.

  • Dry surfaces provide good friction, allowing tyres to grip the road well and brake efficiently.
  • Wet surfaces reduce friction because water creates a slippery layer, increasing braking distance.
  • Icy or slippery roads have very low friction, causing tyres to skid and greatly increasing braking distance.
  • Surface texture matters: rough surfaces give better grip than smooth surfaces, helping reduce braking distance.

For example, braking on a wet road can double the braking distance compared to a dry road at the same speed.

Vehicle Condition

The state of the vehicle itself affects how quickly it can stop once the brakes are applied.

  • Brake quality and wear: Worn or faulty brakes reduce the braking force that can be applied, increasing braking distance.
  • Tyre tread and pressure: Good tread helps tyres grip the road. Bald tyres or incorrect tyre pressure reduce friction and increase braking distance.
  • Vehicle mass: Heavier vehicles have more momentum and require more force to stop, increasing braking distance.

Maintaining brakes and tyres in good condition is essential for safe stopping.

Speed of Vehicle

Speed has a very strong effect on braking distance.

  • Higher speed means the vehicle has more kinetic energy, which is given by the formula:

Kinetic energy=12mv2\text{Kinetic energy} = \frac{1}{2} m v^2

  • Because kinetic energy increases with the square of speed, doubling the speed quadruples the kinetic energy.
  • More kinetic energy means more work is needed to stop the vehicle, so braking distance increases rapidly with speed.
  • The braking force applied by the brakes is limited, so the higher the speed, the longer the distance needed to stop.

For instance, a car travelling at 20 m/s has four times the kinetic energy of the same car at 10 m/s, so it needs roughly four times the braking distance.

Example: A car of mass 1000 kg is travelling at 20 m/s. Calculate its kinetic energy.

Using the formula:

KE=12×1000×202=0.5×1000×400=200,000 JKE = \frac{1}{2} \times 1000 \times 20^2 = 0.5 \times 1000 \times 400 = 200,000 \text{ J}

Driver Factors

The driver's actions and condition also affect braking distance.

Note: Braking distance is the distance travelled from the moment the brakes are applied until the vehicle stops. This is different from thinking distance, which is the distance travelled during the driver's reaction time before braking begins.

  • Braking force applied: The harder the driver presses the brake pedal, the greater the braking force and the shorter the braking distance.
  • Reaction time influence: While reaction time mainly affects thinking distance, it can indirectly affect braking distance if the driver brakes too late or not firmly enough.
  • Driver alertness: A tired or distracted driver may not apply brakes effectively, increasing braking distance.
  • Remember that braking distance depends on friction between tyres and road, so anything reducing friction increases stopping distance.
  • Speed affects braking distance more than you might expect because kinetic energy depends on speed squared.
PracticeExample 3

Worked Example

Example: A car of mass 1200 kg is travelling at 15 m/s on a dry road. Calculate its kinetic energy and explain how braking distance would change if the car speed increased to 30 m/s.

PracticeExample 4

Worked Example

Example: A driver applies brakes on a wet road and the braking distance is 40 m at 20 m/s. Estimate the braking distance if the road was icy, assuming the friction is reduced by half.

PracticeExample 5

Worked Example

Example: A car with worn tyres has a braking distance of 30 m at 10 m/s on a dry road. If the tyres were replaced with new tyres providing better grip, how would the braking distance change?

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