Explain why worn-out tyres increase the braking distance of a vehicle.

Tread Depth: The tread on tyres is designed to channel water away and provide a better grip on the road. As tyres wear out, the tread depth decreases, reducing the tyre's ability to remove water from the contact patch (the part of the tyre that is in contact with the road). This can lead to hydroplaning, where the tyre loses contact with the road and slides on the water, increasing the braking distance.

Tyre Grip: The rubber compound used in tyres hardens over time, especially if the tyres are exposed to a lot of heat. This hardening reduces the tyre's grip on the road, making it more likely to slide when braking, which increases the braking distance.

Tyre Pressure: Worn-out tyres may not hold air pressure as well as new tyres. Under-inflated tyres have a larger contact patch and more tyre wall flex, which can increase braking distance.

Heat Dissipation: The grooves in tyre tread also help to dissipate heat. As tyres wear out and these grooves become shallower, the tyres may not dissipate heat as effectively. Overheated tyres can become softer and lose grip, or they can harden and become brittle, both of which can increase braking distance.

Damage: Worn-out tyres are more likely to have damage like cuts, punctures, or bulges. These can affect the tyre's structural integrity and its performance, potentially increasing braking distance.