A particle moves in the plane according to the position vector for

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

Problem

A particle moves in the plane according to the position vector

\mathbf r(t)=\langle x(t),y(t)\rangle

for

2\le t\le 6

. Explain, in a single sentence, what the quantity

\dfrac{1}{4}\displaystyle\int_{2}^{6} x(t)\,dt

represents.