consider the linear relationship between the thermometric property x an the temperature tgiven by x=at+b. suppose that the ice and steam points are used as fixed points with temper atures of 0° and 100° respectively. show that y = 1001. -x, (b) if, instead, the thermometric function is chosen as show that on the new scale

22. the top of a cliff is located a distance h above the ground. at a distance h/2 there is a branch that juts out from the side of the cliff, and on this branch a bird's nest is located. two children throw stones at the nest with the same initial speed, one stone straight downward from the top of the cliff and the other stone straight upward from the ground. in the absence of air resistance, which stone hits the nest in the least amount of time?