Diploma Math
posted by sean de la Harpe .
A small object travels with a velocity of v=4t^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,(4t^2),dt]
c) Use a suitable geomentric method to caculate the area enclosed by the graph and the xaxis 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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