Time-Velocity Graphs (Leaving Cert Applied Maths): Flashcards

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Time-Velocity Graphs
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What are the axes in a time-velocity graph?

Time (horizontal), velocity (vertical)

What slope of time-velocity graph represents

Acceleration of the object

Area under time-velocity graph equals

Total distance travelled

Kinematic equation for uniform acceleration

v=u+atv = u + at

Shape used for acceleration/deceleration phases

Triangle

Shape used for constant velocity phases

Rectangle

Area formula for triangle on velocity-time graph

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Area formula for rectangle on velocity-time graph

base×height\text{base} \times \text{height}

Mathematical expression for area under graph

ut+12at2ut + \frac{1}{2}at^2

Formula for average speed

Total distanceTotal time\frac{\text{Total distance}}{\text{Total time}}

What negative slope on time-velocity graph indicates

Deceleration

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