Chapter 8.4, Problem 55E

a.

To determine

To graph the given function.

Explanation of Solution

Given:

The given function is $h(t)=5{(t-2.5)}^2$ where, $t$ is the number of seconds after dive.

Calculation:

The following is the graph of the given function-

  

b.

To determine

To graph the given function.

Explanation of Solution

Given:

The given function is $r(t)=2h(t)$ where, $t$ is the number of seconds after dive.

Calculation:

The following is the graph of the given function-

  

c.

To determine

To compare the graphs and find which bird starts its dive from a greater height?

Answer to Problem 55E

The second bird.

Explanation of Solution

Given:

The given function is $r(t)=2h(t)$ where, $t$ is the number of seconds after dive.

Calculation:

The graph of $r(t)$ is a vertical stretch by a factor $2$ of the graph of $h(t)$ .

The second bird starts its dive from the greater height because the graph of $r(t)$ is a vertical stretch by a factor $2$ of the graph of $h(t)$ , the bird starts at twice the height as that of first bird.