The velocity of a particle moving along a line is meters per second for

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity of a particle moving along a line is v(t)=t2sin⁡tv(t)=t^{2}\sin t meters per second for π≤t≤2π\pi\le t\le2\pi. What is the particle’s displacement (in meters) on this interval? (a) −4π2+2-4\pi^{2}+2 (b) 5π2−45\pi^{2}-4 (c) −5π2+4-5\pi^{2}+4 (d) −5π2−4-5\pi^{2}-4

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