The speed of a particle with mass m varies with the distance x as v(x=0)=0 at t=0. (a) Find the force F(x) responsible. a. F(x)=mx b. F(x)=xm c. F(x)=21mx^2 d. F(x)=−kx
(b) Determine x(t) a. x(t)=21gt2 b. x(t)=e−kt c. x(t)=21at2 d. x(t)=Asin(ωt)
(c) Determine F(t) a. F(t)=mgt b. F(t)=−kx c. F(t)=mω2Acos(ωt) d. F(t)=tmv