Question

The Manitou Incline, which leads to the top of Pikes Peak in Colorado, climbs from an elevation of 6574 feet to 8585 feet above sea level. The fastest reported time for running up the incline is 16 minutes and 42 seconds, by Mark Fretta. How many vertical feet per second did Mark climb during his record breaking performance? ( Round to 1 decimal digit.)

Answer 1

2.0 vertical feet per second

Step-by-step explanation:

First, determine the vertical distance covered by Mark.

`\begin{gathered} \text{Vertical Distance=}8585-6574 \\ =2011\text{ ft} \end{gathered}`

Next, convert the fastest reported time for running up the incline( 16 minutes and 42 seconds) to seconds.

`\begin{gathered} 16\text{ mins 42 seconds = (}16*60)+42 \\ =960+42 \\ =1002\text{ seconds} \end{gathered}`

Finally, determine Mark's vertical feet per second:

`\begin{gathered} \text{Mark's vertical sp}eed\text{ per second=}(2011)/(1002) \\ =2.007\text{ ft per second} \\ \approx2.0\text{ ft per second (to 1 decimal digit)} \end{gathered}`

Mark climbed at a rate of 2.0 vertical feet per second.