The velocity of a particle moving in the plane is meters per second for

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The velocity of a particle moving in the plane is v(t)=⟨cos⁡t, sin⁡t⟩\mathbf v(t)=\langle \cos t,\,\sin t \rangle meters per second for 0≤t≤2π0\le t\le 2\pi. Determine (a) the total distance the particle travels and (b) the magnitude of the particle’s net displacement over this interval. Provide both answers in meters.

Related theory

Browse the problem library