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Velocity-Time Graph

The variation of velocity with time can be represented graphically to calculate acceleration exactly like we calculated speed from distance-time graph.

Let us now plot a velocity-time (v - t) graph for the following data.

Velocity in m/s 0 10 20 30 40 50
Time in Seconds 0 2 4 6 8 10
  • Take time along x-axis and velocity along y-axis.
direction of velocity time on the graph
  • Analyse the given data and make a proper choice of scale for x and y axes.
choice of scale in velocity time graph
  • Plot the given points.
plotting the points in velocity time graph
  • Join the points
points joined in velocity time graph
  • Consider any two points A and B on the straight-line graph.
straight line graph in velocity time relation
  • Draw perpendiculars from A and B to x and y-axes.
perpendicular drawn to axes in velocity time graph
  • Join A to C, ACB forms a right-angled triangle.
right angled triangle in velocity time graph

Calculations

velocity time graph showing acceleration
  • Write the title for the graph.
velocity time graph showing slope

Complete Graph

slope of velocity time graph
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