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Velocity-Time Graph

870 bytes added, 13:07, 14 February 2019
Example Calculations
| style="height:20px; width:500px; text-align:left;" colspan = "3"|'''Calculate the [[acceleration]] of the [[object]] at each stage in this journey.'''
|-
|style="height:20px; width:500px; text-align:left;" colspan = "3"|[[File:vtGraph1.png|centercentre|500px]]
|-
| style="height:20px; width:300px; text-align:left;" |'''A'''
| style="height:20px; width:300px; text-align:left;" |'''B'''
| style="height:20px; width:300px; text-align:left;" |'''C'''
|-
| style="height:20px; width:300px; text-align:left;" |'''State the known [[variable]]s.'''
[[File:vtGraphCalculateAcceleration3.png|centre|150px]]
v = 30m/s
 
u = 0m/s
 
t = 2s
| style="height:20px; width:300px; text-align:left;" |'''State the known [[variable]]s.'''
[[File:vtGraphCalculateAcceleration3.png|centre|150px]]
v = 30m/s
 
u = 30m/s
 
t = 3s
| style="height:20px; width:300px; text-align:left;" |'''State the known [[variable]]s.'''
[[File:vtGraphCalculateAcceleration3.png|centre|300px150px]]v = 40m50m/s
u = 20m30m/s
t = 8s3s
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>a = \frac{v-u}{t}</math>
<math>a = \frac{4030-200}{82}</math>
<math>a = \frac{2030}{82}</math>
<math>a = 2.5m15m/s/s</math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>a = \frac{v-u}{t}</math>
<math>a = \frac{1030-4030}{83}</math> <math>a = \frac{0}{3}</math> <math>a = 0m/s/s</math>| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>a = \frac{v-30u}{8t}</math>
<math>a = \frac{50-30}{3}</math> <math>a = \frac{20}{3}</math> <math>a = 6.75m7m/s/s</math>
|}
 
====Calculating Distance Travelled====
: The [[distance]] travelled can be calculated from a '''velocity-time graph''' by breaking the [[graph]] into simple shapes and finding the [[area]] of those shapes. This may use the equations <math>area = base \times height</math> for rectangular shapes and <math>area = \frac{base \times height}{2}</math> for triangular shapes.