A certain comet has a parallax 1/40 as large as the moon. How far away is it (compared to the Moons distance)? Show Work
1 answer:
The distance and parallax are inversely related. We can find the distance using the following equation:
where d is distance and p is parallax.
We are given the parallax of the comet relative to the moon, and we are looking for the distance to the comet relative to the moon's distance, so wee can plug in the following value:
The distance is 40 times as far away as the moon.
where d is distance and p is parallax.
We are given the parallax of the comet relative to the moon, and we are looking for the distance to the comet relative to the moon's distance, so wee can plug in the following value:
The distance is 40 times as far away as the moon.
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Answer:
<em>Details in the explanation</em>
Explanation:
<u>Vertical Launch</u>
When an object is thrown vertically in free air (no friction), it moves upwards at its maximum speed while the acceleration of gravity starts to brake it. At a given time and height, the object stops in mid-air and starts to fall back to the launching point until reaching it with the same speed it was launched.
We are given an expression for the height of an object in function of time t
<em>Please note we have deleted the second 'squared' from the formula since it's incorrect and won't describe the motion of vertical launch.</em>
We now have to evaluate h for the following times, assuming h comes in feet
At t=1 sec
The object is at a height of 48 feet
At t=2 sec
The object is at a height of 64 feet. This is the maximum height the object will reach, as we'll see below
At t=3 sec
The object is at a height of 48 feet. We can clearly see it's returning from the maximum height and is going down
At t=4 sec
The object is at ground level and has returned to the launch point.