A particle moves in the plane with position vector (meters) for seconds

MATHEMATICS · Subjective · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

A particle moves in the plane with position vector r(t)=⟨t, t2/2⟩\mathbf r(t)=\langle t,\,t^{2}/2\rangle (meters) for 0≤t≤20\le t\le 2 seconds. Compute the particle’s average speed on this time interval. Express your answer exactly.

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