A person jumps from a diving board above a swimming pool. At time $t$ seconds after leaving the board, the person's height above the surface of the pool, $s$ metres, can be modelled by the function $s\left(t\right)=10+5t-t^2$. Find the time between the person leaving the board and hitting the water.

You begin walking eastward through a park, and your velocity graph is shown below. Find the times when you are standing still.

You begin walking eastward through a park, and your velocity graph is shown below. Find the time intervals when you are moving eastward.

You begin walking eastward through a park, and your velocity graph is shown below. Find the time intervals when you are moving most quickly eastward.

You begin walking eastward through a park, and your velocity graph is shown below. Find the time intervals when you are moving westward.

You begin walking eastward through a park, and your velocity graph is shown below. Find the time(s) when you are moving quickly.

You begin walking eastward through a park, and your velocity graph is shown below. Find the time intervals when you are moving most quickly westward.