i) Determine the escape speed on a spherical asteroid having radius 570 km and whose gravitational acceleration at the surface is around 10.0 m/s2?
ii) Determine how far from the surface will a particle go if it leaves the asteroid's surface having a radial speed of around 1000 m/s?
iii) With what speed will the object strike the asteroid when it is dropped from 1000 km over the surface?