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Diploma Math

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A small object travels with a velocity of v=4-t^2 where t is the time in seconds, recorded from t=0, and v is the velocity in metres/second.

a) Draw a graph of v(t) for 0¡Üt¡Ü3.

b)Find ¡Ò[0,3,(4-t^2),dt]

c) Use a suitable geomentric method to caculate the area enclosed by the graph and the x-axis for 0¡Üt¡Ü3.

d) Describe what has been calculated in (b) and (c) in terms of the journey of the object.

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