Cat on a ladder

A ladder standing on a smooth floor against a wall slides down to the floor. Along what curve does a cat sitting in the middle of the ladder move. What happens if it is sitting on the bottom rung or the top rung? 1.Draw a diagram of what you think would happen 2. Use the trace to check your answer 3. Comment on the results
There was also an extension of this question Q 2 "Along what curve does the cat move if it does not sit in the middle of the ladder