Bead on wire, projection, first order differential equation.

[STEP III 2006 Question 9 (Mechanics)]

Hooke's law, restitution, kinetic energy, ball thrown from floor.

[STEP II 1993 Question 14 (Mechanics)]

Momentum, sphere, lose contact, energy consideration, particle striking floor.

[STEP I 1987 Question 11 (Mechanics)]