Physics, 10.09.2021 02:50 douglasally

13. A ball is thrown horizontally by a pitcher at 25.0 m/s from shoulder height (2.0m). If the catcher is 20.0 m away, will the ball reach the catcher before bouncing?

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Answer from: Quest

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Answer from: Quest

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

$x(t)=ax(x-6)$

where $a$ is unknown. because the position is parabolic, there is symmetry about the midpoint at $t=3$ , and we know that

$x(3)=10\implies -9a=10\implies a=-\dfrac{10}9$

so that the position function is

$x(t)=-\dfrac{10}9x(x-6)$

which means the velocity is

$v(t)=\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{20}9x+\dfrac{60}9$

then the total distance traveled is

$\displaystyle\int_{t=0}^{t=6}|v(t)|\,\mathrm dt=\left\{\int_{t-0}^{t=3}-\int_{t=3}^{t=6}\right\}v(t)\,\mathrm dt=20$

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at $x=0$ and ends at $x=0$ , so its displacement is 0.

Answer from: Quest

Is there any opitions? if you have the periodic table, the noble gases are 8a family, the halogen are the 7a family, and the nonmetal are carbon, nitrogen, phosphorus, oxygen, sulfur, selenium, fluorine, chlorine, bromine, iodine and astatine.

Answer from: Quest

All these statements are related to drake's equation. it is a probabilistic equation that shows an aproximate number of civilizations in our galaxy that we can communicate with. all the numbers that are inserted into equation are not precisely known so the result varies from 1000 to 100,000,000. the equations was not created to calculate exact number of extraterrestrial civilizations but to increase scientific knowledge how to find them.the equation is: $n= r_{*} *f_{p}*n_{e}*f_{l}*f_{i}*f_{c}*l$ where: n= represents the number of civilizations in our galaxy that we could in principle communicate with today. $r_{*} =$ the average rate of star formation in our galaxy $f_{p} =$ the fraction of those stars that have planets $n_{e} =$ represents the number of planets in the galaxy that are in principle capable of having surface liquid water and life. $f_{l} =$ essentially represents the probability that life eventually arises on a habitable planet. represents the number of life-bearing planets in the galaxy. $f_{i} =$ epresents the total number of planets on which intelligent beings have evolved and developed a communicating civilization at some time in the galaxy's history. $f_{c} =$ essentially represents the probability that on a planet with life, some organisms will eventually evolve to the point where they can build radio telescopes. $l =$ is a factor that depends on how long civilizations that reach our level of technology are able to survive.

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13. A ball is thrown horizontally by a pitcher at 25.0 m/s from shoulder height (2.0m). If the catch...

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