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SUVAT

2,838 bytes added, 15:11, 5 April 2019
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{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |QuestionA fighter jet [[accelerate]]s at 60m/s/s from rest along a runway which is 150m in length. Calculate the [[velocity]] reached by the fighter jet, correct to two [[Significant Figures|significant figures]].| style="height:20px; width:300px; text-align:center;" |QuestionA train applies the breaks over 25m of track slowing at a rate of 0.5m/s/s to a [[velocity]] of 10m/s. Calculate the initial [[velocity]] of the train prior to breaking, correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
u = 0m/s
 
a = 60m/s/s
 
s = 150m
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
v = 10m/s
 
a = -0.5m/s/s
 
s = 25m
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>v^2=u^2 + 2as</math>
 
<math>v^2=0^2 + 2 \times 60 \times 150</math>
 
<math>v^2=18000</math>
 
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>v^2=u^2 + 2as</math>
 
<math>10^2=u^2 + 2 \times (-0.5) \times 25</math>
 
<math>100=u^2 - 25</math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>v=\sqrt{18000}</math>
 
<math>v=134.16m/s</math>
 
<math>v \approx 130m/s </math>
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>u^2 = 100 + 25</math>
 
<math>u^2 = 125</math>
 
<math>u=\sqrt{125}</math>
 
<math>u=11.18m/s</math>
 
<math>u \approx 11m/s</math>
|}
 
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |A car travelling at 30m/s has a stopping distance of 55m. Calculate the [[deceleration]] of the car correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:300px; text-align:center;" |A formula 1 car is travelling at 50m/s on a straight but must slow to 22m/s for an approaching corner. The breaks can [[decelerate]] the car at 30m/s/s. Calculate how far before the corner the car must begin braking, correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
v = 0m/s
 
u = 30m/s
 
s = 55m
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
v = 22m/s
 
u = 50m/s
 
a = -30m/s/s
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>v^2=u^2 + 2as</math>
 
<math>0^2=30^2 + 2 \times a \times 55</math>
 
<math>0=900+110a</math>
 
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>v^2=u^2 + 2as</math>
 
<math>22^2=50^2 + 2 \times (-30) \times s</math>
 
<math>484=2500 - 60s</math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>110a = -900</math>
 
<math>a =\frac{-900}{110}</math>
 
<math>a =\frac{-900}{110}</math>
 
<math>a=-8.1818m/s/s</math>
 
<math>a \approx -8.2m/s/s </math>
 
Deceleration = + 8.2m/s/s
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>484=2500 - 60s</math>
 
<math>60s = 2500-484</math>
 
<math>s =\frac{2016}{60}</math>
 
<math>s=33.6m</math>
 
<math>s \approx 34m</math>
|}