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Acceleration

634 bytes added, 10:40, 13 February 2019
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====Calculating Time Taken====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |A ferry travelling at 5m/s slows down for a harbor at a rate of 0.002m02m/s/s. Calculate the time taken for the ferry to decelerate to 0.1m/s, correct to two [[Significant Figures|significant figures]].| style="height:20px; width:300px; text-align:center;" |A charged particle is accelerated from rest at a rate of 1,30m1300m/s/s in an electric field. Calculate the time taken to accelerated to 1,500,000m/s correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
<math>\Delta v</math> = 0.1 - 5 = -4.9m/s
a = -0.02m/s/s
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
<math>\Delta v</math> = 1,500,000 - 0 = 1,500,000m/s
 
a = 1300m/s/s
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>a = {\frac{\Delta v}{t}} </math>
 
<math>-0.02 = {\frac{-4.9}{t}} </math>
 
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>a = {\frac{\Delta v}{t}} </math>
 
<math>1300 = {\frac{1500000}{t}} </math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>-0.002 = {\frac{-4.9}{t}} </math>
 
<math>-0.002t = -4.9</math>
 
<math>t = {\frac{-4.9}{-0.02}} </math>
 
<math>t = 245s</math>
 
<math>t \approx 250s</math>
 
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>1300 = {\frac{1500000}{t}} </math>
 
<math>1300t = 1500000</math>
 
<math>t = {\frac{1500000}{1300}} </math>
 
<math>t = 1153.85s </math>
 
<math>t \approx 1200s</math>
|}