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AP CALCULUS STUDENT H Using the NUT Strategy to Interpret Motion Integrals The position of a particle moving on the x-axis, in feet from the origin, is given by x(t) . The velocity of the particle, in feet per second, is given by v(t), and the acceleration is given by a(t) . For each of the integral expressions given in the following table, interpret its meaning by filling in the missing noun, appropriate units, and/or the correct time value or interval. Integral Expression Noun Units Time * ( 2 ) + [ x ' ( t ) dt at t = 4 seconds j x'(t ) dt Change in position of the particle - 7 flu (t ) at in feet per second in feet from the * ( 4 ) + [ v ( t ) dt origin from t = 1 to t = 4 [ lv(t ) at seconds Average 4 - 1 acceleration of the particle