#### Problem 63E

63. Nick starts jogging and runs faster and faster for 3 mintues, then he walks for 5 minutes. He stops at an intersection for 2 minutes, runs fairly quickly for 5 minutes, then walks for 4 minutes.

(a) Sketch a possible graph of the distance $s$ Nick has covered after $t$ minutes.

(b) Sketch a graph of $d s / d t$.