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The motion of a body can be plotted on graphs and can help to solve motion problems. Below are the graphs of displacement vs time and speed vs time. Each is them is analysed to produce various quantities.
Graph A
gradient = change in distance
change in time
The gradient of the displacement - time graph gives the velocity
Graph B
Graph a shows motion that has constant velocity
Graph b shows motion that is decelerating, the velocity is decreasing
Graph c shows motion that is acceleration, the velocity is increasing
Graph C
gradient = change in velocity
change in time
gradient = acceleration
a - shows a positive acceleration meaning the body is speeding up
b - shows zero acceleration, the body is moving at constant speed
c - shows a negative acceleration meaning the body is slowing down
Graph D
a - body is increasing speed constantly with time. Constant or uniform acceleration
b - body is at a constant or uniform speed. It is moving at the same speed all the time. It is not accelerating
c - body is decreasing speed constantly with time. Constant deceleration
d - body is at constant speed but is moving slower that body in b
e- non uniform acceleration
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