Answer:
The distance traveled in 1 year is:
Explanation:
Given
--- speed
--- time
Required
The distance traveled
This is calculated as:

So, we have:

This gives:


-- approximated
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
(a) This is a freefall problem in disguise - when the ball returns to its original position, it will be going at the same speed but in the opposite direction. So the ball's final velocity is the negative of its initial velocity.
Recall that

We have
, so that

(b) The speed of the ball at the start and at the end of the roll are the same 8 m/s, so the average speed is also 8 m/s.
(c) The ball's average velocity is 0. Average velocity is given by
, and we know that
.
(d) The position of the ball
at time
is given by

Take the starting position to be the origin,
. Then after 6 seconds,

so the ball is 42 m away from where it started.
We're not asked to say in which direction it's moving at this point, but just out of curiosity we can determine that too:

Since the velocity is positive, the ball is still moving up the incline.
Tuberculosis. Reason: I just took the test and got it right
Answer:
(a): The frequency received by the observers is f'= 138,062.28 Hz.
(b): When the plane flies directly away from them, they receive a frequency of f'= 1772.46 Hz.
Explanation:
Vf= 333.33 m/s
Vo= 0 m/s
V= 342 m/s
f= 3500 Hz
(a) f' = f * ( V / (V - Vf) )
f'= 138062.28 Hz
(b) f'= f* ( V / (V - (- Vf) )
f'= 1772.46 Hz