Astronomers study planets in the Solar System with radar. Suppose you were observing Venus, which orbits the Sun at $35 \mathrm{km} / \mathrm{sec},$ from the Earth, which orbits at $30 \mathrm{km} / \mathrm{sec} .$ Draw a diagram of the two planets' orbits (Venus orbits at about $0.7 \mathrm{AU}$ ) and use your diagram and vectors representing the velocities to estimate the radial velocity we would see when Venus is at its greatest elongations and when it is in conjunction with the Sun.