Answer:
a) 
b) 
Explanation:
Given:
- mass of the ball thrown up,

- initial velocity of the ball thrown up,

- height above the ground from where the ball is thrown up,

a)
Maximum height attained by the ball above the roof level can be given by the equation of motion.
As,

where:
final velocity at the top height of the upward motion 
acceleration due to gravity
height of the ball above the roof
Now,


Therefore total height above the ground:



b)
Now we find the time taken in raching the height
:

final velocity at the top of the motion 
So,


Now the time taken in coming down to the ground from the top height:

where:
is the initial velocity of the ball in course of coming down to ground from the top 
Here the direction acceleration due to gravity is same as that of motion so we are taking them positively.


Therefore the total time taken in by the ball to hit the ground after it begins its motion:



Answer:
27.35m
Explanation:
For the calculation of the Support Force we rely on the formula for obtaining the force in a cylinder of a certain length l,

Here each term is,
= Lift force
= density of air
= vortex strength
For this last equation, its mathematical representation is given by,

Here each term is,
a= 1m, radios of cylinder
, the velocity of cylinder surface.

In order to find the density of the area at 2000m we will refer to the table of Standard Atmosphere of the United States, that is 

Replacing the values,

Clearing l and solving for it we have,

<em>In this way we can conclude that the length of the cylinder must be 27.35m</em>
The positive rod will induce a negative charge on the side of the other rod it is closest to.
The temperatures would change and the water would become luke warm <span />
I would say that the answer is 4.) because if she does most of cooking on the stove, that would allow us to make the assumption that she is using heat and therefore requires and apparatus that conducts heat. Copper is also a metallic that is known to be conductive.