The speed (v) of a particle moving along a straight line, when it is at a distance (x) from a fixed point on the line, is given by: v2 = 144 -9x2.Now, match the given columns and select the correct option from the codes given below.

For (i): v2 = 144-9x2  ⇒ 2vdvdx=0-18x⇒a = -9x   ⇒ω2 =9 ⇒ω = 3Time period T = 2πω = 2π3 unitsFor (ii): ∵ v2≥0 ∴144-9x2≥0 ⇒x2≤16 ⇒x≤4⇒Amplitude = 4 unitsFor (iii): Maximum velocity = Aω = (4)(3) = 12 unitsFor (iv): At x = 3 units, a = -9x = -27 units