A particle is moving in a circle of radius R = 1 m with constant speed v = 4  m/s . The ratio of the displacement to acceleration of the foot of the perpendicular drawn from the particle onto the diameter of the circle is

• A

  $\frac{1}{16}{\mathrm{s}}^2$

• B

  $\frac{1}{2}{\mathrm{s}}^2$

• C

  $2{\mathrm{s}}^2$

• D

  $16s^2$