In exercise physiology,aerobic power P is defined in terms of maximum oxygen int
ID: 3099025 • Letter: I
Question
In exercise physiology,aerobic power P is defined in terms of maximum oxygen intake. For altitudes up to 1800 meters, aerobic power is optimal, that is 100%. Beyond 1800 meters, P decreases at constant rate from the maximum of 100% to a value near 40% at 5000 meters.QUESTION: The world olympics 2014 will be in Sochi in Russia from february 7th-23rd. According to the web the olympic village will be built at an altitude of 1100m. The lowest cable car exit point will be located at an altitude of 960 m. and the highest will be at an altitude of 2400m.
a) Determine the aerobic power at the site of the olympic village in Sochi.
b) Determine the aerobic power at the highest cable car exit point.
c) At what altitude is the aerobic power reduced to 50%?
d) Is P a function of h? if so, write the equation for P as a function of h ( in meters), 0 ( less than or equal to) h(less than or equal to) 5000, and draw a labeled graph of P as a function of h.
e) Use the equation to determine the aerobic power on the top of Mount. rose ( 10,776 feet).
Explanation / Answer
First you need a linear equation you know at 1800m it is 100% and at 5000m it is 40% so you know that P is a function of height so height is your x and preformance is your y so the two points are (1800, 100) and (5000, 40) you now need to find the slope so m = (100-40)/(1800-5000) = 60/(-3200) = -3/160 now use y - y1 = m(x - x1) y- 100 = (-3/160)(x - 1800) y = (-3/160)(x)+ 133.75 p = (-3/160)(h)+ 133.75 this will help you answer the questions for a you know the height is 1100 and it tells us that under 1800m it is 100% so this is for a for b at the heighest point you know that it is 2400m so plug that into the equation p = (-3/160)(2400)+ 133.75 = 88.75% answer for b for c you need to know the height when it is 50% so p = (-3/160)(h)+ 133.75 put 50 in for p 50 = (-3/160)(h)+ 133.75 solve for h h = 4467meters answer for c for d we already know the equation from above just plot that on a graph for e we can plug in the height of 10776ft but our equation is for height in meters so convert this height to meters it is about 3284.5meters so plug that value in for h p = (-3/160)(h)+ 133.75 p = (-3/160)(3284.5)+ 133.75 p= 72% hope this helped