Braking Distance - Revision history

NRJC: /* Formula */

2024-05-22T13:53:15Z

‎Formula

NRJC: /* Formula */

2024-05-22T13:52:53Z

‎Formula

NRJC: /* Key Stage 5 */

2024-05-22T11:40:45Z

‎Key Stage 5

NRJC: /* Formula */

2024-05-22T11:37:31Z

‎Formula

NRJC: /* Formula */

2024-05-22T11:37:07Z

‎Formula

NRJC: /* Formula */

2024-05-22T11:36:29Z

‎Formula

NRJC at 11:34, 22 May 2024

2024-05-22T11:34:09Z

NRJC: /* About Braking Distance */

2020-10-20T09:05:31Z

‎About Braking Distance

NRJC: /* About Braking Distance */

2020-10-20T09:05:08Z

‎About Braking Distance

NRJC: /* About Braking Distance */

2020-10-20T09:04:23Z

‎About Braking Distance

@@ Line 59: / Line 59: @@
 Where:
-s is the [[Stopping Distance|stopping distance]]
+s is the [[Braking Distance|braking distance]]
 𝑣 is the initial [[velocity]] of the [[object]]

@@ Line 74: / Line 74: @@
 Where:
-s is the [[Stopping Distance|stopping distance]]
+s is the [[Braking Distance|braking distance]]
 𝑣 is the initial [[velocity]] of the car

← Older revision		Revision as of 11:40, 22 May 2024
Line 66:		Line 66:

	a is the [[acceleration]] of the [[object]] (in this case it is referred to as deceleration and if the velocity is chosen to be in a positive direction, the acceleration must be given a negative value).		a is the [[acceleration]] of the [[object]] (in this case it is referred to as deceleration and if the velocity is chosen to be in a positive direction, the acceleration must be given a negative value).
		+

	When considering the [[friction]]al [[force]]s involved between surfaces such as the tyre and the road surface for a car then then [[Braking Distance\|Braking distance]] can be given by the formula:		When considering the [[friction]]al [[force]]s involved between surfaces such as the tyre and the road surface for a car then then [[Braking Distance\|Braking distance]] can be given by the formula:

@@ Line 69: / Line 69: @@
 When considering the [[friction]]al [[force]]s involved between surfaces such as the tyre and the road surface for a car then then [[Braking Distance|Braking distance]] can be given by the formula:
-<math>s=𝑣\frac{𝑣^2}{2𝜇𝑔}</math>
+<math>s=\frac{𝑣^2}{2𝜇𝑔}</math>
 Where:

@@ Line 69: / Line 69: @@
 When considering the [[friction]]al [[force]]s involved between surfaces such as the tyre and the road surface for a car then then [[Braking Distance|Braking distance]] can be given by the formula:
-<math>s=𝑣^2\times2𝜇𝑔</math>
+<math>s=𝑣\frac{𝑣^2}{2𝜇𝑔}</math>
 Where:

@@ Line 55: / Line 55: @@
 [[Braking Distance|Braking distance]] can be given by the formula:
-<math>s=𝑣^2\times2a</math>
+<math>s=\frac{𝑣^2}{2a}</math>
 Where:

← Older revision		Revision as of 11:34, 22 May 2024
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	:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Braking distance, pages 220-221, Gateway GCSE Physics, Oxford, OCR '']		:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Braking distance, pages 220-221, Gateway GCSE Physics, Oxford, OCR '']
	:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Braking distances, page 210, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']		:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Braking distances, page 210, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
		+
		+	==Key Stage 5==
		+	===Meaning===
		+	[[Braking Distance\|Braking distance]] is the distance traveled by a vehicle in the [[time]] taken to stop it.
		+
		+	===About Braking Distance===
		+
		+	*[[Braking Distance\|Braking distance]] depends on the vehicle's speed, mass, and the condition of the brakes.
		+	*The [[Braking Distance\|braking distance]] of a vehicle on the road is affected by road conditions, tire quality and the conditions of the brakes.
		+	*[[Braking Distance\|Braking distance]] is part of the total [[Stopping Distance\|stopping distance]], which also includes [[Thinking Distance\|thinking distance]] with depends upon [[Reaction Time\|reaction time]].
		+
		+	===Formula===
		+	[[Braking Distance\|Braking distance]] can be given by the formula:
		+
		+	<math>s=𝑣^2\times2a</math>
		+
		+	Where:
		+
		+	s is the [[Stopping Distance\|stopping distance]]
		+
		+	𝑣 is the initial [[velocity]] of the [[object]]
		+
		+	and
		+
		+	a is the [[acceleration]] of the [[object]] (in this case it is referred to as deceleration and if the velocity is chosen to be in a positive direction, the acceleration must be given a negative value).
		+
		+	When considering the [[friction]]al [[force]]s involved between surfaces such as the tyre and the road surface for a car then then [[Braking Distance\|Braking distance]] can be given by the formula:
		+
		+	<math>s=𝑣^2\times2𝜇𝑔</math>
		+
		+	Where:
		+
		+	s is the [[Stopping Distance\|stopping distance]]
		+
		+	𝑣 is the initial [[velocity]] of the car
		+
		+	μ is the [[Coefficient of Friction\|coefficient of friction]]
		+
		+	and
		+
		+	g is the [[acceleration]] due to [[gravity]] or [[Gravitational Field Strength]].
		+
		+	===Examples===
		+
		+	*At higher speeds, the [[Braking Distance\|braking distance]] increases significantly.
		+	*Wet or icy roads increase the [[Braking Distance\|braking distance]] due to reduced [[friction]].

@@ Line 5: / Line 5: @@
 ===About Braking Distance===
 '''Braking distance''' makes up one of two parts of the [[Stopping Distance|stopping distance]] of a vehicle.
 '''Braking distance''' depends on:
 *The [[speed]] of the vehicle - The greater the [[speed]] the larger the '''braking distance'''.

@@ Line 8: / Line 8: @@
 *The conditions of the road and tyres - The less [[friction]] between the road and tyres the longer the [[Braking Distance|braking distance]]. Water, oil or ice on the road all reduce the [[friction]] between the tyres and the road, causing the '''braking distance''' to be greater than for a dry road. Different road surfaces have different amounts of [[friction]]. The painted lines on the road and the metal of a manhole cover are both low [[friction]] surfaces which are especially dangerous for motorcycles which only have two wheels (at least with 4 wheels a car will have 3 of them on the normal road with 1 on the slippery surface of a line or manhole cover).
 *The condition of the brakes, if they are in poor condition there will not be enough [[friction]].
-*The [[mass]] of the car. The mass a car has the more [[force]] is required to slow it down so brakes providing a constant [[force]] won't be as effective. ''Higher: See [[Inertial Mass]]''.
+*The [[mass]] of the car. The more [[mass]] a car has the more [[force]] is required to slow it down so brakes providing a constant [[force]] won't be as effective. ''Higher: See [[Inertial Mass]]''.
 *[[Weather]] conditions - Ice reduces friction with the road making braking distance longer.