The starship Enterprise and the Millennium Falcon are both stationary, docked in space so that the crews can exchange cookies. They later depart at the same time with Han Solo directing the Millennium Flacon at a speed of 300 m/s at an angle 45 degrees to the initial direction of Captain Kirk in the Enterprise which moves off at 400 m/s. At the instant the two vessels separate Captain Kirk realizes he left his favorite tea-cozy on the Millennium Falcon and directs Lieutenant Sulu to alter course to intercept Han Solo. What acceleration must the Enterprise undergo for its path to intersect the path of the Millennium Falcon in 40 seconds?

the answer is b, have negligible mass

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.

the force represented by vector a is normal force. if the hockey puck is moving to the right, when it is hit with a significant force by the hockey stick the puck will move off in a different direction. correct on edge.