Question 5. Siblings Alice and Bob saved their money all summer to buy a water balloon launcher and they are eager to take it for a test run. Younger brother Bob thinks he's a pretty fast runner with a top speed of 5 m/s. He poses the following challenge to his sister: "I'll stand 20 m from you and I'll start running away as soon as you launch a water balloon. See if you can hit me!" Unfortunately for Bob, Alice is a physics 8A ace and knows exactly what needs to be done to soak her brother. (a) Set the origin of your coordinate system at Alice's position with Bob starting along the pesitive X-axis (and running along the X-axis). What is the Bob's trajectory, FBob(t)? (b) Suppose the water balloon launcher is limited to only ring at an angle of 1r/ 4. In terms of the unknown initial launch speed 1), What is the trajectory of the water balloon fin/305)? (c) What speed '0 should Alice launch with to ensure a direct hit? ((1) How long does the balloon take to hit Bob? (e) What is the relative velocity and speed of the balloon to Bob at the moment of impact