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
