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:
a. 
b. 
c. 
Explanation:
a) The average of this values is the sum each number divided by the total number of values.

is values of each diameter- N is the total number of values. N=6


b) The standard deviation equations is:

If we put all this values in that equation we will get:

Then the mean diameter will be:
c) We know that the density is the mass divided by the volume (ρ = m/V)
and we know that the volume of a cylinder is: 
Then:

Using the values that we have, we can calculate the value of density:

We need to use propagation of error to find the error of the density.
- δm is the error of the mass value.
- δd is the error of the diameter value.
- δh is the error of the length value.
Let's find each partial derivative:
1. 
2. 
3. 
Therefore:


So the density is:

I hope it helps you!
A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Answer:
The extent of greenhouse effect on mars is
Explanation:
From the question we are told that
The albedo value of Mars is 
The albedo value of Mars is 
The surface temperature of Mars is 
The surface temperature of Venus is 
The distance of Mars from the sun is 
The distance of Venus from sun is 
The radius of the sun is 
The energy flux is 
The solar constant for Mars is mathematically represented as
![T = [\frac{E R^2 (1- A_1)}{\sigma d_m} ]](https://tex.z-dn.net/?f=T%20%3D%20%5B%5Cfrac%7BE%20R%5E2%20%281-%20A_1%29%7D%7B%5Csigma%20d_m%7D%20%5D)
Where
is the Stefan's constant with a value 
So substituting values


So the greenhouse effect on Mars is


