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Example: Computation of the angle between a vector with xy components (2t2, t4+2) and its derivative, with respect to t, when t is equal to 1:

(%i1) v: [2*t^2, t^4+2]$
(%i2) a: diff (v,t)$
(%i3) float (acos (subst (t=1, v.a/sqrt (v.v*a.a)))*180/%pi);
(%o3) 11.30993247402023

This program is used by the teacher to create the exam questions, and by the students during the exam.