Answer:
latent heat, also called the heat of vaporization, is the amount of energy necessary to change a liquid to a vapour at constant temperature and pressure. The energy required to melt a solid to a liquid is called the heat of fusion, and the heat of sublimation is the energy
Explanation:
Hey
SI unit for measure the amount of material contained in a solid sphere metre cube(m^3).
mean it have Volume .
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)
![t_{smax}=\frac{11.323 s}{2}](https://tex.z-dn.net/?f=t_%7Bsmax%7D%3D%5Cfrac%7B11.323%20s%7D%7B2%7D)
(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
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Explanation:
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