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The gradient of speed-time and velocity-time graphs represent acceleration.

The speed time graph. There are lots of important differences you must recognise. First choose two points that lie the line - say point A is 0 0 and point B is 10 50. If the acceleration of a particle is constant k and initial speed is zero the speed increases or decreases linearly.

In a distance-time graph the gradient of the line is equal to the speed of the object. Velocity-time graphs show how the velocity or speed of a moving object changes with time. Car travels at a steady speed of 65 mph for 3 hours.

Velocity-time graphs are also called speed-time graphs. A horizontal line on a speed-time graph represents a constant speed. To find the speed of an object from a distance-time graph we need to calculate the gradient or slope of the line.

These graphs also show if the object is moving at a constant speed or accelerating decelerating or. Speed-Time graph with constant acceleration As shown in the figure the speed of the particle will increase linearly with respect to time. The area under a speed-time graph represents the distance travelled.

A Level Maths revision tutorial videoFor the full list of videos and more revision resources visit wwwmathsgeniecouk. In each case sketch a speed-time graph and find the distance travelled. The slope of the graph will give the magnitude of acceleration.

Likewise the area under a velocity-time graph. Speed Time Graphs Speed Time graphs look very similar to distance-time graphs but its not. Students using the Matrix II DVD to create tables and speed time graphs.

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