1. (5 pts) (Inspired by 7.1) On May 1953, Tenzig Norgay and Edmund Hillary became the first humans to climb to the summit of Mount Everest (8850 m). Assume they each had a mass of 75 kg while climbing, plus each carried 20 kg of equipment and clothes. Climbing started from base camp (at 5335 m above sea level) and had to be gradual so their bodies could adjust to low air pressure. There were four stops before the summit was reached: camp 1 (6000 m), camp 2 (6400 m), camp 3 (7450 m), and camp 4 (7950 m). a) Compute the total energy each of the climbers had to spend for going from base camp to the summit. Provide your result in units of kilocalorie (1 kCal = 4184 J).

cant without the picture! ?

it is a negative acceleration

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.