A particle is in linear simple harmonic motion between two points $A$ and $B, 10 \mathrm{~cm}$ apart. Take the direction from $A$ to $B$ as the positive direction and give the signs of velocity, acceleration and force on the particle when it is
(a) at the end $\mathrm{A}$,
(b) at the end $\mathbf{B}$,
(c) at the mid-point of $\mathbf{A B}$ going towards $\mathrm{A}$,
(d) at $2 \mathrm{~cm}$ away from $B$ going towards $A$,
(e) at $3 \mathrm{~cm}$ away from $A$ going towards $B$, and
(f) at $4 \mathrm{~cm}$ away from $B$ going towards $A$.