Piecewise Constant Velocity You leave your house on your bicycle to go visit a. friend. At your normal speed of 9 mph, you know it takes you 6 minutes to get there. This time, though, when you have traveled half the distance you realize you forgot a book at home that you were going to return to your friend, so you turn around and pedal at twice your normal speed, get back home, grab the book, and start off again for your friend's hOUSe at 18 mph (imagine you are really fit to puli this off!) (a) How far away from you does your friend live? (b) What is the total distance you travel on this trip? ((3) How long did the whole trip take? ((1) Draw a position versus time and EL velocity versus time graph for the whole trip. Use SI units for both graphs. Neglect the time it takes you to stop and turn around, and also the time it takes you to run into your house and grab the book (in other words, assume those changes in your direction of motion happen instantly)