Problem 5 Jumping Cat A cat initially at rest on a scale jumps up vertically F and lands back on the scale where it rests again. Shown below is the scale reading as a function of time. (a) Draw a free-body diagram of the cat for each segment of the plot. Try to sketch your vectors with appropriate lengths. (b) What is the accelera- 2F07 to- tion of the cat when they are pushing off? What is it when the cat is in the air? (c) If the cat is pushing Fo7 off for a time to, how fast is the cat moving when it leaves the scale? (d) Suppose the landing lasts for a time to/4. What do we mean by this, that is, what part of the cat is moving during the landing? What is the force exerted on the cat by the scale during the landing?