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Acceleration

623 bytes added, 09:46, 13 February 2019
Key Stage 4
| style="height:20px; width:200px; text-align:center;" |In this animation there is [[linear]] [[acceleration]] and [[deceleration]] as the cars change [[speed]] as well as an [[acceleration]] due to changing direction.
The passengers notice this [[acceleration]] because it feels as if a [[force]] is acting on them:
#When the slow car slows down for the roundabout the passengers feel the [[force]] of the seatbelt [[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.
This equation applies to [[linear]] [[acceleration]] but not to a change in direction.
<math>a = {\tfrac{\delta Delta v}{t}} </math>
Where:
<math>a</math> = [[Acceleration]] of the [[object]].
<math>\delta Delta v</math> = Change in [[magnitude]] of the [[velocity]].
<math>t</math>= [[Time]] taken for the change in [[velocity]].
{| class="wikitable"
|-
| style="height:20px; width:300px; text-align:center;" |'''A person starts at rest and accelerates to a [[speed]] of 7.8m/s in 0.8 64 [[second]]s. Calculate the [[acceleration ]] of the personcorrect to two [[Significant Figures|significant figures]].'''| style="height:20px; width:300px; text-align:center;" |'''A racing car travels comes around a corner at a [[speed]] of 20m25m/s and in 1.5 4 [[second]]s accelerates to a [[speed]] of 80m73m/s. Calculate the [[acceleration ]] of the racing carcorrect to two [[Significant Figures|significant figures]].'''
|-
| style="height:20px; width:300px200px; text-align:left;" |final speed = 8[[m/s]]'''1. State the known quantities'''
initial speed <math>\Delta v</math> = 7.8 - 0[[m= 7.8m/s]]
time = 0.864[[s]]| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities'''
<math>a = {\tfrac{Delta v-u}{t}} </math>= 73 - 25 = 48m/s
<math>a time = {\tfrac{81.5[[s]]| style="height:20px; width:200px; text-0}{0align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].8}} </math>'''
<math>a = {\tfrac{8\Delta v}{0.8t}} </math>
<math>a = 10m/s/s {\tfrac{7.8}{0.64}} </math>
| style<math>a ="height:20px; width:300px; text-align:left;" |final speed = 80[[m12.1875m/s/s]]</math>
initial speed = 20[[m<math>a \approx 12m/s]]/s</math>
time | style= 1"height:20px; width:200px; text-align:left;" |'''2.5[[sSubstitute (Maths)|Substitute]]the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>a = {\tfrac{\Delta v-u}{t}} </math>
<math>a = {\tfrac{80-2048}{1.5}} </math>
<math>a = {\tfrac{60}{1.5}} 32m/s/s </math>|}
<math>a {| class= 40m/s/s </math>"wikitable"
|-
| 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]] correct to two [[Significant Figures|significant figures]].| 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 probecorrect to two [[Significant Figures|significant figures]].'''
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| style="height:20px; width:300px; text-align:left;" |