cool down: the squirrel a squirrel runs up and down a tree. the graph shows the height of the squirrel, h…

cool down: the squirrel a squirrel runs up and down a tree. the graph shows the height of the squirrel, h (feet), as a function of time, t (seconds) 1. what is the highest point the squirrel reaches? 14 2. solve h(t)=0. what does this solution tell you about the squirrel? 3. find the vertical intercept of the graph. what does it tell you about the squirrel?

cool down: the squirrel a squirrel runs up and down a tree. the graph shows the height of the squirrel, h (feet), as a function of time, t (seconds) 1. what is the highest point the squirrel reaches? 14 2. solve h(t)=0. what does this solution tell you about the squirrel? 3. find the vertical intercept of the graph. what does it tell you about the squirrel?

Answer

Explanation:

Step1: Find highest point

Observe the graph, the maximum value of the height - function $h(t)$ is 14 feet.

Step2: Solve $h(t)=0$

Find the $t$ - values where the graph intersects the $t$ - axis. The graph intersects the $t$ - axis at $t = 4$. This means the squirrel is at ground - level (height = 0 feet) at 4 seconds.

Step3: Find vertical intercept

The vertical intercept is the value of $h(t)$ when $t = 0$. From the graph, when $t=0$, $h(0)=10$. This means the squirrel starts at a height of 10 feet.

Answer:

  1. 14 feet
  2. $t = 4$; The squirrel is at ground - level at 4 seconds.
  3. 10 feet; The squirrel starts at a height of 10 feet.