Use the pythagorean theorem to answer the following question. a ping-pong ball is shot straight north from a popgun at 4.0 m/s. the wind is blowing to the west at 3.0 m/s. what is the actual velocity of the ping-pong ball?

Answer : The actual velocity of the ping-pong ball is, 5 m/s

Explanation :

Using Pythagorean theorem :

The diagram is shown below.

From the diagram we conclude that,

AB = 4 m/s

BC = 3 m/s

AC = ?

Now put all the given values in this formula, we get

Therefore, the actual velocity of the ping-pong ball is, 5 m/s

ill do it for 100, also this isnt 80 its 40

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.