(1) _____ The first successful ascent to the summit of K2, the world\'s second h
ID: 2871390 • Letter: #
Question
(1) _____ The first successful ascent to the summit of K2, the world's second highest and most dangerous mountain was July 31, 1954. The distance (in meters) the climbers ascended K2 is modeled by the graph below. Determine the average rate of ascent from point A (Base Camp) to point B (Camp IV). (a) Determine the average rate of ascent from point A (Base Camp) to point B (Camp IV). (b) Estimate the instantaneous velocity of ascent of the climbers at Camp IV. (A) 1666.7 m/week (B) 1245.5 m/week (C) 612.2 m/week (D) 166.7 m/week (E) none of the aboveExplanation / Answer
Answer:
Here X- axis denotes time in weeks
Y-axis denotes distance in meters
From the graph the positions of A=(1,1000) and B=(4,6000)
(a) The average rate of ascent from A to B is (6000-1000)/(4-1)=5000/3=1666.666=1666.7 m/week approx
(b) The instantaneous velocity of the ascent of the climbers at the point B is
distance travelled / time duration = (6000-1000)/(4-1) =5000/3=1666.666 = 1666.7 m/week approx
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