The gradient of a displacement-time graph at a particular time gives the velocity of the object at that time.
The gradient of a velocity-time graph at a particular time gives the acceleration of the object at that time.
The velocity-time and acceleration-time graphs for common motions are shown below. For the constant positive velocity graphs and the constant positive acceleration graphs the initial displacement is zero and the initial velocity is zero. For the constant negative acceleration graphs the initial displacement is negative and the initial velocity is positive.
Take aim and fire with the forces game Cannon.
You can practise calculating equations of motion with our game, Cannon. Using velocity, gravity and other variables, try to predict where the cannonball will land.
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