Fundamental planetary science problem 2.2 a) calculate the minimum velocity at which a rock must leave mars' at- mosphere for it to be on a trajectory that intercepts tje earth's orbit? you can take into account the speed needed to escape from the martian gravity but not the drag within the planet's atmosphere. you may also neglect planetary rotation and assume the planets' orbits are circular and coplanar. b) at what speed does this rock impact on the upper atmosphere of the earth? c) under tge same assumptions. calculate the minimum velocity for trans- fer from the top of the earth's atmosphere to mars. d) at what speed does this rock impact on the upper atmosphere of mars? e) qualitatively describe how planetary rotation and orbital eccentricity and inclinations may affect your results.

as technology advances, new experiments often expose problems in accepted theories. c

hope i

-lavira: )

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.

k2s for potassium sulphide