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DISTANCE – TIME GRAPHS For an object in motion, the distance it has covered with time can be represented by a distancetime graph. [i.e. distance is on the vertical axis while time is on the horizontal axis] distance (m) distance (m) distance (m) time (s) time (s) object at rest object travels at a constant velocity distance (m) distance (m) time (s) object travels at a higher constant velocity distance (m) object stopped object decelerates object accelerates time (s) time (s) object accelerates object accelerates (falling object) distance (m) distance (m) time (s) object decelerates time (s) object decelerates (object thrown upwards) The gradient of the distance time graph give the speed of the object. 𝑦 Gradient of the graph is the ratio 𝑥 time (s) SPEED – TIME GRAPHS For an object in motion, the distance it has covered with time can be represented by a distancetime graph. [i.e. distance is on the vertical axis while time is on the horizontal axis] velocity (m/s) velocity (m/s) Area = 48 Distance moved = 48 m time (s) time (s) object at rest object travels at a constant velocity velocity (m/s) velocity (m/s) velocity (m/s) time (s) time (s) object travels with uniform acceleration velocity (m/s) object travels with non-uniform (increasing) acceleration velocity (m/s) time (s) object travels with uniform deceleration time (s) object travels with non-uniform (decreasing) acceleration velocity (m/s) time (s) object travels with non-uniform (increasing) deceleration time (s) object travels with non-uniform (decreasing) deceleration The area under the velocity - time graph gives the distance moved by the object. The gradient of the velocity - time graph give the acceleration of the object. 𝑦 Gradient of the graph is the ratio 𝑥