Scan all your work on and submit through canvas as a single PDF.Show all your work otherwise you will not receive any credit.Imagine you are hanging out with the Guardians of the Galaxy and you are flying around in space. All of the sudden you get into a vortex that makes your ship follow the space curve r(vec(t))=. Your only way to escape is to shut off the thrrsters of the ship at the correct time so that you can coast to the point (9,65,425) where a safe space station is located. Assume you entered the vortex at t=0.a) At what time should you shut off your thrusters so you can reach safety? Hint: You may assume that when you shut off your thrusters, you travel on a straight line.b) Use Geogebra to graph the space curve and the trajectory your ship took for safety. Please include your graphs and your equations.