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Suppose the position of an object is given by >r(vector) = (3.0t^2*ihat  6.0t^3*jhat)m. Where t in seconds.
Determine its velocity >v as a function of time t.
Determine its acceleration >a as a function of time t.
Determine >r at time t = 2.5 s.
Determine >v at time t = 2.5s.
I don't really understand the vector units and the answers require the i^ and j^ vector units. Please explain the significance, my prof didn't do justice in class.
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