Answer: 89.803 ft
Explanation:
The complete question is written below:
An astronaut on the moon throws a baseball upward. The astronaut is 6ft, 6 in. tall and the initial velocity of the ball is 30 ft per second. The height s of the ball in feet is given by the equation,s=-2.7t^2+30t+6.5, where t is the number of seconds after the ball is thrown.
The ball will never reach a height of 100ft. How can this be determined algebraically?
We have the following equation that expresses the height 
as a function of time:
(1)
Now, if we wan to find the maximum height the baseball reaches and prove it is less than 100 ft, we firstly have to find the time 
the whole parabolic movement lasts and then find 
which is the time it takes the baseball to reach its maximum height.
So, if we want to calculate , this is fulfilled when 
, when the baseball hits the ground:
(2)
This is a quadratic equation of the form 
, and we have to use the quadratic formula if we want to find :
(3)
Where 
, 
, 
Substituting the known values and choosing the positive result of the equation:
(4)
Then we can calculate 
:
(5)
(6)
Substituting (6) in (1):
(7)
(8) This is the maximum height the baseball reaches, as we can see it is less than 100 ft
To solve this problem it is necessary to apply the concepts related to Young's Module, and find the radius that gives the ratio between the two given materials. Young's module can be defined as,
Where,
F= Force
L = Initial Length
A = Cross-sectional Area
Change in Length
Re-arrange the equation to find the change in Length we have,
If both the Force, as the Area and the initial length are considered constant, we can realize directly that the change in length is inversely proportional to Young's Module, therefore
Applying this concept to that of the two materials (Brass and Tungsten),
If the force caused 
to be stretched, the tungsten will stretch 0.25 of that ratio
Therefore the amount of stretch of Tungsten is 7.5*10^{-7}m
Answer:
Explanation:
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