20,345
edits
Changes
→Key Stage 5
===Acceleration Equation===
Where:
: a = [[acceleration]]
|-
| style="height:20px; width:300px; text-align:left;" |
final speed = 8[[m8m/s]]
initial speed = 0[[m0m/s]]
time = 0.8[[s]]8s
<math>a = {\frac{v-u}{t}} </math>
| style="height:20px; width:300px; text-align:left;" |
final speed = 80[[m80m/s]]
initial speed = 20[[m20m/s]]
time = 1.5[[s]]5s
<math>a = {\frac{v-u}{t}} </math>
<math>a = 40m/s/s </math>
|-
| style="height:20px; width:300px; text-align:center;" |'''A [[horse]] begins trotting at 3.0m/s and accelerates to canter at 11m/s in 2.0 [[second]]s. Calculate the acceleration of the [[horse]].
| style="height:20px; width:300px; text-align:center;" |'''A space probe is travelling at 18,000m/s and uses a thruster for 250 [[second]]s to slow down to 6,000m/s. Calculate the acceleration of the space probe.'''
|-
| style="height:20px; width:300px; text-align:left;" |
final speed = 11[[m11m/s]]
initial speed = 3.0[[m0m/s]]
time = 2.0[[s]]0s
<math>a = {\frac{v-u}{t}} </math>
<math>a = 4m/s/s </math>
| style="height:20px; width:300px; text-align:left;" |
final speed = 18,000[[m000m/s]]
initial speed = 6,000[[m000m/s]]
time = 250[[s]]250s
<math>a = {\frac{v-u}{t}} </math>
==Key Stage 4==
===Meaning===
'''Acceleration''' is a [[vector]] quantity that describes a the rate of change in of [[velocity]].
===About Acceleration===
: [[Acceleration]] is a [[vector]] because it has a [[magnitude]] and direction.
: The [[SI Unit]]s of [[acceleration]] and [[Metres per Second per Second|metres per second per second (m/s/s)]].
[[Acceleration]] may refer to:
*Increasing [[speed]] - The [[magnitude]] of the [[velocity]] increases.
*Changing direction - The [[magnitude]] of the [[velocity]] remains constant (constant [[speed]]) but the [[object]] changes direction of travel.
: [[Newton's First Law]] indicates that [[acceleration]] occurs due to [[Unbalanced Forces|unbalanced forces]] on an [[object]]:
''An [[object]] in motion will tend to stay in motion in a straight line and an [[object]] at rest will tend to stay at rest unless an [[Unbalanced ForceForces|unbalanced force]] acts upon it.''
===Force and Acceleration===
The passengers notice this [[acceleration]] because it feels as if a [[force]] is acting on them:
#When the car slows down for the roundabout the passengers feel the [[force]] of the seatbelt [[Deceleration|decelerating]] them.
#When the car speeds up the passengers feel the [[force]] of the back of the chair [['''accelerating]] ''' them.
#When the car turns quickly the passengers feel the [[force]] of the side door changing their direction.
|}
<math>a = {\frac{\Delta v}{t}} </math>
Where:
<math>a</math> = [[Acceleration]] of the [[object]].
<math>F=ma</math>
Where:
<math>F</math> = The [[Resultant Force]] on the [[object]].
<math>\Delta v</math> = 7.8 - 0 = 7.8m/s
time = 0.64[[s]]64s
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
<math>\Delta v</math> = 73 - 25 = 48m/s
time = 1.5[[s]]5s
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
{| class="wikitable"
|-
| style="height:20px; width:300px; text-align:center;" |'''A [[horse]] begins trotting at 3.2m/s and accelerates to canter at 11m/s in 1.8 [[second]]s. Calculate the acceleration of the [[horse]] correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:300px; text-align:center;" |'''A space probe is travelling at 18,100m/s and uses a thruster for 4.25 minutes to slow down to 6,200m/s. Calculate the acceleration of the space probe correct to two [[Significant Figures|significant figures]].'''
|-
<math>\Delta v</math> = 11 - 3.2 = 7.8m/s
time = 1.8[[s]]8s
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
<math>t \approx 1200s</math>
|}
===References===
====AQA====
:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Acceleration, pages 136-138, 140-141, 144-147, GCSE Physics; Third Edition, Oxford University Press, AQA'']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Acceleration, pages 140-1, 145-51, 158-61, GCSE Physics; Student Book, Collins, AQA'']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Acceleration, pages 150, 151, GCSE Combined Science Trilogy; Physics, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Acceleration, pages 152-3, GCSE Physics, Hodder, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Acceleration, pages 181, 182, 196, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe09652 ''Acceleration, pages 209, 212, 214, GCSE Combined Science; The Revision Guide, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Acceleration, pages 228, 230, GCSE Combined Science Trilogy 2, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac5 ''Acceleration, pages 61, 64, 66, GCSE Physics; The Revision Guide, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Acceleration; Calculation from velocity-time']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Acceleration; definition, page 146, GCSE Physics; Student Book, Collins, AQA'']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Acceleration; due to gravity, page 151, GCSE Combined Science Trilogy; Physics, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Acceleration; due to gravity, page 182, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Acceleration; due to gravity, pages 146, 291, GCSE Physics; Student Book, Collins, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe09653 ''Acceleration; estimating, page 209, GCSE Combined Science; The Revision Guide, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Acceleration; Graphs, pages 230-1, GCSE Combined Science Trilogy 2, Hodder, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Acceleration; investigating, pages 160-3, GCSE Physics; Student Book, Collins, AQA'']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Acceleration; investigating, pages 167, 168, GCSE Combined Science Trilogy; Physics, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Acceleration; investigating, pages 199, 200, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Acceleration; investigation of relationship to force, pages 160-1, GCSE Physics, Hodder, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Acceleration; Investigation of, pages 238-9, GCSE Combined Science Trilogy 2, Hodder, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Acceleration; Newton`s second law of motion, pages 236-7, GCSE Combined Science Trilogy 2, Hodder, AQA'']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Acceleration; Newton’s second law of motion, pages 158-9, GCSE Physics, Hodder, AQA'']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Acceleration; on distance-time graphs, page 152, 153, GCSE Combined Science Trilogy; Physics, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Acceleration; on distance-time graphs, pages 183, 184, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Acceleration; on velocity-time graphs, page 155, 156, GCSE Combined Science Trilogy; Physics, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Acceleration; on velocity-time graphs, pages 186, 187, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA'']
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac6 ''Acceleration; orbits, page 101, GCSE Physics; The Revision Guide, CGP, AQA'']
====Edexcel====
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration, page 25, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Acceleration, pages 13, 15, 16, 106, GCSE Physics; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Acceleration, pages 146, 148, 149, 210, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120193/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120193&linkCode=as2&tag=nrjc-21&linkId=572df39392fb4200db8391d98ae6314e ''Acceleration, pages 287, 290-291, 296, 308, GCSE Combined Science, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Acceleration, pages 3, 6-7, 12, 24, GCSE Physics, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; dangers, page 53, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; distance/time graphs, page 27, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; due to gravity, page 26, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; Newton’s Second Law, page 35, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; uniform, page 26, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Acceleration; velocity/time graphs, page 31, GCSE Physics, CGP, Edexcel '']
====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 ''Acceleration, pages 159-162, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/1782945687/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945687&linkCode=as2&tag=nrjc-21&linkId=9a598e52189317a20311d7a632747bc9 ''Acceleration, pages 22-25, 28, 29, 89, Gateway GCSE Physics; The Revision Guide, CGP, 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 ''Acceleration, pages 51-52, 217, 222-223, 254-254, 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 ''Acceleration; calculations, pages 52-53, 56-57, 69, 255, 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 ''Acceleration; due to gravity, page 83, Gateway GCSE Physics, Oxford, OCR '']
==Key Stage 5==
===Meaning===
[[Acceleration]] is the rate of change of [[velocity]] per unit [[time]].
===About Acceleration===
*It can be positive (speeding up) or negative (slowing down), also called deceleration.
*[[Measure]]d [[Metres per Second per Second|metres per second squared]] (m/s²).
*[[Acceleration]] be caused by changes in [[speed]] or direction.
*[[Newton]]'s Second Law states that [[acceleration]] is produced when a force acts on a [[mass]] (F = ma).
*[[Acceleration]] can be uniform or non-uniform.
*The direction of the [[acceleration]] vector determines the direction of the change in velocity.
*[[Centripetal Acceleration|Centripetal acceleration]] occurs when an [[object]] moves in a circular path and is directed towards the centre of the circle.
*[[Gravitational Acceleration|Gravitational acceleration]] near the [[Earth]]’s surface is approximately 9.8 m/s².
===Examples===
*A car [[Accelerate|accelerating]] from a stoplight.
*The [[acceleration]] due to [[gravity]] is 9.8 m/s² downwards.