Question 1 Blue Origin, :1 space ight company, recently made its rst flight. Consider the shuttle carrying the astronauts is dropped from 10011. The position 5 of the shuttle is given by the following mction as a function oftime: SE) = 1I6t2 + 100 Consider the interval [0, c] where 0 is the time when the shuttle drops, and e is the time when the shuttle hits the surface of the Earth. Find the height or position of the shuttle when time is: 0, 0.5, 1, Li 2, and 2.5 seconds. What is the domain of this function? Also, sketch the graph of the position 5. Verify the graph using MATLAB