(a) Let the distance hex when velocity is u and acceleration α. And the distance y when velocity is v and acceleration β. If ω is the angular frequency, then α = ω2x and β = ω2y ∴ α + β = ω2(x + y) ...(i) Also, u2 = ω2A2 - ω2x2 and v2 = ω2A2 - ω2y2 ⇒ v2−u2 = ω2(x2−y2) v2−u2 = ω2 (x - y )(x + y) ...(ii) From eqs. (i) and (ii), v2−u2 = (x - y )( α + β) ∴ x - y =