Question: You are standing on a train station platform as a train passesslowly throught the station, moving with a constant velocityu. Aboard the train is your friend B, who is practicing herjuggling. She launches one ball into the air so that it ismoving initially (as she sees it) wih a horizonal velocity vx and avertical velocity vy. While the train is moving to the let, theball is moving (initially) upwards and the the right. Anotherfriend of yours C, is also watching the train go by while C ismoving upwards with constant velocity w inside the station's glasselevator. Since the train and the elevator are both movingslowly, you may take it that u < vx and w < vy. In thefollowing questions compare the flight path of the ball, and itsmain features whic are height and range as seen by these threeobservers.

a) Sketch the path of the juggling ball throught the air as seen by B. You do not needto work out any numbers butclearly label the height h and the range of the ball's motion R, soyou may compare these values to the graphs you will draw in parts band c.

b) Sketch the path of the juggling ball throught the air asseen by you. Draw to the same scale as the sketch in a,so that it is easy to compare the height h and the range of theball's motion R between the two graphs (so one can tell at a glancewherther h or R is greater, smaller or the same between the twographs).

c) Sketch the flight path of the juggling ball through the airas seen by C. Again be sure to use the same scale as on theprevious two graphs, so that the height and range of motion can becompared.