Question

Which mathematical expression correctly defines the coefficient of restitution (e) in terms of initial velocities (u₁​,u₂​) and final velocities (v₁​,v₂​)?

Options

• e = \[\frac{v_1-v_2}{u_2-u_1}\]

• e = \[\frac{v_1+v_2}{u_2+u_1}\]

• e = \[\frac{u_2-u_1}{v_1-v_2}\]

• e = m₁u₁ + m₂u₂

Answer 1

e = \[\frac{v_1-v_2}{u_2-u_1}\]

Explanation:

This formula correctly represents the negative ratio of the relative velocity of separation (v₂​ − v₁​) to the relative velocity of approach (u_2​ − u₁​).