Chapter 4.6, Problem 28IP

a.

To determine

To find:the distance, a rider can see from the highest point of Millennium Force.

Answer to Problem 28IP

The distance, a rider can see from the highest point of Millennium Forceis approximate $21.5\text{ miles}$ .

Explanation of Solution

Given information :

The table shows the height of the tallest roller coasters at cedar point

  

Formula used:

  $\text{d}=1.22\cdot \sqrt{\text{h}}$ [Whereas d is the distance and h is the height]

Calculation :

Height of the Millennium Force is 310

Therefore, the distance is

  $\begin{array}{l}\text{d}=1.22\cdot \sqrt{\text{h}}\\ \text{d}=1.22\cdot \sqrt{310}\\ \text{d}\approx 1.22\cdot 17.6\left[\text{use calculator}\right]\\ \text{d}\approx 21.5\text{ miles}\end{array}$

Hence, the distance, a rider can see from the highest point of Millennium Force is approximate $21.5\text{ miles}$ .

b.

To determine

To find:the distance, a rider can see from the highest point of Mean Streak.

Answer to Problem 28IP

The distance, a rider can see from the highest point of Mean Streak is approximate $15.5\text{ miles}$ .

Explanation of Solution

Given information :

The table shows the height of the tallest roller coasters at cedar point

  

Formula used:

  $\text{d}=1.22\cdot \sqrt{\text{h}}$ [Whereas d is the distance and h is the height]

Calculation :

Height of the Mean Streak is 161

Therefore, the distance is

  $\begin{array}{l}\text{d}=1.22\cdot \sqrt{\text{h}}\\ \text{d}=1.22\cdot \sqrt{161}\\ \text{d}\approx 1.22\cdot 12.7\left[\text{use calculator}\right]\\ \text{d}\approx 15.5\text{ miles}\end{array}$

Hence, the distance, a rider can see from the highest point of Mean Streak is approximate $15.5\text{ miles}$ .

b.

To determine

To find:the distance, a rider can see more from the Top Thrill Dragster than on the Magnum XL-200.

Answer to Problem 28IP

The distance, a rider can see more from the Top Thrill Dragster than on the Magnum XL-200 is approximate $7.1\text{ miles}$ .

Explanation of Solution

Given information :

The table shows the height of the tallest roller coasters at cedar point

  

Formula used:

  $\text{d}=1.22\cdot \sqrt{\text{h}}$ [Whereas d is the distance and h is the height]

Calculation :

Height of Top Thrill Dragster is 420

Therefore, the distance is

  $\begin{array}{l}\text{d}=1.22\cdot \sqrt{\text{h}}\\ \text{d}=1.22\cdot \sqrt{420}\\ \text{d}\approx 1.22\cdot 20.5\left[\text{use calculator}\right]\\ \text{d}\approx 25.0\text{ miles}\end{array}$

Height ofthe Magnum XL-200 is 205

Therefore, the distance is

  $\begin{array}{l}\text{d}=1.22\cdot \sqrt{\text{h}}\\ \text{d}=1.22\cdot \sqrt{205}\\ \text{d}\approx 1.22\cdot 14.3\left[\text{use calculator}\right]\\ \text{d}\approx 17.4\text{ miles}\end{array}$

So, the distance, a rider can see more from the Top Thrill Dragster than on the Magnum XL-200 is $25.0-17.4=7.1\text{ miles}$