Answer:c
Explanation:
If the Force of gravity suddenly stops acting on Planets then Planets would continue to move straight in the initial direction.
Gravity constantly acts on Planets to change their trajectory each instant thus in absence of it if a planet is moving in a circular path then it would follow the path of the tangent to the circular path as gravity force is absent to change its trajectory.
According to my examination I have confirmed that I do NOT repeat do NOT know this.
A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.
<h3>What is line of best fit?</h3>
A straight line with the best fit is one that minimizes the distance between it and some data.
In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.
It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.
Thus, none of the options are correct, the correct one is d.
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The ducks' flight path as observed by someone standing on the ground is the sum of the wind velocity and the ducks' velocity relative to the wind:
ducks (relative to wind) + wind (relative to Earth) = ducks (relative to Earth)
or equivalently,

(see the attached graphic)
We have
- ducks (relative to wind) = 7.0 m/s in some direction <em>θ</em> relative to the positive horizontal direction, or

- wind (relative to Earth) = 5.0 m/s due East, or

- ducks (relative to earth) = some speed <em>v</em> due South, or

Then by setting components equal, we have


We only care about the direction for this question, which we get from the first equation:



or approximately 136º or 224º.
Only one of these directions must be correct. Choosing between them is a matter of picking the one that satisfies <em>both</em> equations. We want

which means <em>θ</em> must be between 180º and 360º (since angles in this range have negative sine).
So the ducks must fly (relative to the air) in a direction 224º relative to the positive horizontal direction, or about 44º South of West.
Answer:
(C) Decreases by factor of 3
Explanation:
Centripetal acceleration is given by

where <em>v</em> is the linear velocity and <em>r</em> is the radius of the curve.
Let the centripetal acceleration on the curve of radius <em>R</em> be
.
Then

Let the centripetal acceleration on the curve of radius 3<em>R</em> be
.
Then

Here, we see that the acceleration decreases by a factor of 3.