Time while going up = time while going down.
One-way time = 0.47 / 2 = 0.235 s
While going up,
s = ut + 1/2 at²; where u is the initial velocity upwards and a is the acceleration due to gravity downwards.
2.14 = u(0.235) + 1/2 x -9.81 x (0.235)²
u = 10.2 m/s
Max height attained can be obtained by:
2as = v² - u²; where v is 0
s = -(10.2)² / -9.81 x 2
s = 5.30 m
The height above the window is:
5.30 - 2.14
= 3.16 m
Answer:
8579 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)(pi)(r)^3, where r is the radius.
Here the radius is (appears to be) 16 mm.
Thus, the radius of this sphere is V = (4/3)(pi)(16 mm)^3, or 28268 mm^3.
But we want the volume of the hemisphere (half sphere). Thus,
divide the above result by 2:
The volume of this hemisphere is 8579 mm^3
The number of parents is c -9 since there are 9 more children than parents
And we know that the total number of people in the room is 25 so:
c + c-9 = 25
or
2c - 9 = 25
We can then solve for c
2c = 34
c = 17
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