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I need help analyzing B and completing C.

1. Suppose a particle with mass m is in motion in a 1D force-field depend- ing on time only, F- F(t). Determine velocity v(t) and displacement r(t) and analyze the behavior of the particle as t 0 and t ->o0 (A) F(t) eat, t 0, 0, u(0) 0; (B) F(t) = sin(wt), and F(t) cos(wt), t,w 〉 0, x(0) u(0) = 0; (C) F(t)--t , t to, β 0, x(to) 0, u(to) to 0. α>0.2(0)

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