Which statement is true regarding the relationship between distance and displacement

Distance is always either the same or greater than the displacement for the same trip. Distance can never be less than displacement.

You haven't listed any choices so it's not possible to help you choose the correct one.

The best answer i can think of is b

At maximum height, kinetic energy is converted in potential energy  formula: at max height, ke = ½ * 0.27kg * (16m/s) ² = 34.56 j  so the remaining pe = (41.70 – 34.56)= 7.14 j = 0.27 kg * 9.8m/s² * h  = (9.8/7.14 * 0.27)so max height h = 5.08 or 5 m