5. The areal velocity and the angular momentum of the planet are related by which of the following relations? (where \( m_{p} \) is the mass of the planet)
(a) \( \frac{\Delta \vec{A}}{\Delta t}=\frac{\vec{L}}{2 m_{p}} \)
(b) \( \frac{\Delta \vec{A}}{\Delta t}=\frac{\vec{L}}{m_{p}} \)
(c) \( \frac{\Delta \vec{A}}{\Delta t}=\frac{2 \vec{L}}{m_{p}} \)
(d) \( \frac{\Delta \vec{A}}{\Delta t}=\frac{\vec{L}}{\sqrt{2} m_{p}} \)
