Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:
![y(t) = y_0 + s_0t -16t ^ 2](https://tex.z-dn.net/?f=y%28t%29%20%3D%20y_0%20%2B%20s_0t%20-16t%20%5E%202)
Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus
![y(t) = 69.54t -16t ^ 2](https://tex.z-dn.net/?f=y%28t%29%20%3D%2069.54t%20-16t%20%5E%202)
The height after 2 sec is:
![y(2) = 69.54 (2) -16 (2) ^ 2](https://tex.z-dn.net/?f=y%282%29%20%3D%2069.54%20%282%29%20-16%20%282%29%20%5E%202)
![y(2) = 75\ ft](https://tex.z-dn.net/?f=y%282%29%20%3D%2075%5C%20ft)
Then the equation that describes the horizontal position of the ball is
![X(t) = X_0 + s_0t](https://tex.z-dn.net/?f=X%28t%29%20%3D%20X_0%20%2B%20s_0t)
Where
for this case
ft / sec
ft/sec
So
![X(t) = 43.45t](https://tex.z-dn.net/?f=X%28t%29%20%3D%2043.45t)
After 2 seconds the horizontal distance reached by the ball is:
![X (2) = 43.45(2)\\\\X (2) = 87\ ft](https://tex.z-dn.net/?f=X%20%282%29%20%3D%2043.45%282%29%5C%5C%5C%5CX%20%282%29%20%3D%2087%5C%20ft)
Finally the vector position P is:
ft
The company will have a total number of 531 employees
The answer is 19.. substitute -1 into the function whenever you see x put -1 there. This implies that 3+16 =19
Answer:
Step-by-step explanation:
<u>Given</u>
- Base = 1.2 m²
- Height = h
- Number of fish = 6
- Density = 4 fish/m³
<u>Minimum volume required:</u>
<u>Lowest water height:</u>
- V= bh
- h = V/b
- h = 1.5/1.2 = 1.25 m