1. (15 pts) Consider the example on the Hubble Space Telescope presented in class. The Hubble Space Telescope is to be released from the space shuttle, which is in a circular orbit at a 590km altitude. The relative velocity (from the space shuttle bay) at the ejection is 0.1 m/s down, 0.04 mfs backwards and 0.02 ms to the right. Suppose that after 10 minutes, it is decided to retrieve the Hubble Space Telescope. a. Find the total Av to rendezvous with the shuttle as a function of time t and plot the total Av versus the time-to-rendezvous. For the time-to-rendezvous, use the range from 1 seconds up to 1200 seconds with 1 second increments. b. Find the range of Av that guarantee rendezvous within 100 seconds. c. Find the rendezvous times that require at most \"Av\" = l