A boy kicks a soccer ball with a x component of 10.4m/s and a y components of 6.4 m/s. a. How much time does it take for the ball to get to the top? Show all work including
units, equations and answer with units. No work, no units = no credit
b. What is the maximum height that the ball reaches? Show all work including
units, equations and answer with units. No work, no units = no credit
c. How much time does it take for the ball to fall to the ground?
d. What is the horizontal distance that the ball travels? Show all work including
units, equations and answer with units. No work, no units = no credit

like poles repel so keep pushing north to north and repels funny to see this

e/c, where e is its total energy

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.