Physics, 08.10.2019 01:10 ashantiwilliams11120

Atoy rocket is launched from the top of a building 117 feet tall at an initial velocity of 201 feet per second.
a) give the function that describes the height of the rocket in terms of time t.
b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet.
c) for what time interval will the rocket be more than 499 feet above ground level
(d) after how many seconds will it hit the ground?

Answers: 2

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Answer from: Ashleymsmith

Explanation:

The distance equation is normally d = v0*t + .5at^2 with a of course being the acceleration due to gravity, so -32 ft/s^2. The problem gives us v0, but also tells us we are already starting 117 feet, so we want to add a 117 to that. so d = v0*t + .5at^2 + 117. And this is in terms of t so that's what is asked for.

If you need extra help finding the maximum let me know, but completeing the square can get you the vertex form which makes finding the maximum very easy.

If you set it equal to 499 and solve for t it will get you the two times that it is at 499 feet, and that will get you the time interval.

If you simply set it to 0 it will get you the two times when the function equals 0, one should be positive and the other negative, since you can't go into negative time the positive one will be when it hits the ground.

Again, let me know if you need help carrying out these calculations and I'll be happy to walk you through them.

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.

Answer from: Quest

I'd go with c) winter because that such a small angle. i think summer is 70-90, and autumn/spring are like 40-70.

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Atoy rocket is launched from the top of a building 117 feet tall at an initial velocity of 201 feet...