If you drop a 2.2kg ball from the top of a 42m high building, how fast will it be going just before it hits the ground? Round to the nearest tenth and include the appropriate unit

Given

This is a free fall problem where we have information about the mass, initial velocity and initial height of the object.

m = 2.2 kg

h = 42m

g = 9.8m/s2

vo = 0 m/s

The data given were: mass, height, initial velocity and gravity, which is already known.

Procedure

to solve this problem we rely on the free fall equations as follows.

This equation relates the final velocity to the initial velocity, gravity and height.

Using the above equation and replacing the values we can proceed to calculate.

The final velocity would be 28.7 m/s

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 components of a vector are the parts of the vectors that are to each other.

b perpendicular