The graph at right shows the distance a bicyclist travels from Oshkosh to a town $100$ miles away.

1. Describe the velocity of the bicyclist.

   Hint (a):

   The velocity is the slope of a distance graph.

   Answer (a):

   The velocity is always positive. The bicyclist accelerates between $t = 0$ and $t = 5$ and then decelerates between $t = 5$ and $t = 10$. S/he is moving fastest at $t = 5$.

2. What is the bicyclist’s average velocity?

   Hint (b):

   Average velocity between $t = 0$ and $t=10=\frac{\Delta \text{distance}}{\Delta \text{time}}=\frac{d(10)-d(0)}{10-0}$

3. Approximate the bicyclist’s instantaneous velocity at $t = 5$ hours.

   Hint (c):

   IROC at a point $=$ slope of the tangent line at that point.