(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
<h3>Vertical motion equation for the ball</h3>
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
<h3>Time for the ball to hit the ground</h3>
0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
<h3>Time for the ball to be 56 ft above the ground</h3>
- let upward motion be positive
h = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
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What are you confused by?
These are alternate interior angles. They are both on the inside, but on opposite (alternate) sides. Alternate interior angles are always equal to each other.
Hope this helps!!
9514 1404 393
Answer:
y = 1/4x^1 -x -4
Step-by-step explanation:
Same question as previous parts. The working is identical, using different numbers.
Focus-vertex distance is (y-difference) p = -4-(-5) = 1. Vertex is (h, k) = (2, -5). Putting these values into the vertex form and expanding to standard form, you get ...
y = (1/(4p))(x -h)^2 +k
y = 1/4(x -2)^2 -5 . . . . . . . . fill in the values for p, h, k
y = 1/4(x^2 -4x +4) -5 . . . . expand the square
y = 1/4x^2 -x +1 -5 . . . . . . . use the distributive property to eliminate parens
y = 1/4x^1 -x -4 . . . . . . . . . collect terms
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Additional information may be found at ...
brainly.com/question/20338735
Answer:
16.75 cubic inches
Step-by-step explanation:
<u>Key skills needed: Volume of a cylinder, Volume of a sphere</u>
1) To get the answer to this problem, you need to understand two formulas: The volume of a sphere, and The volume of a cylinder.
- Volume of a sphere -->
(V = volume, and r = radius) - Volume of a cylinder -->
(V = volume, r = radius,h = height)
These formulas will be needed.
2) In order to solve this problem, we need to find the volumes of both, and the subtract them from one another to find the difference.
3) Let's start by finding the volumes:
- Cylinder -->
We have the radius (which is 2) and the height (which is 4)
- This means we can solve -->
- 2 squared is 4, so then it would be -->
- 4 times 4 is 16 so
---> 16 pi is the same as 50.24 cubic inches (if you use 3.14 as pi). - Next is the Sphere-->
We have the radius (which is 2) so we can solve
- 2 cubed is 8, so it would be -->
- 8 times 4/3 is 32/3 so -->
--> which is Around 33.51 cubic inches
4) Now we have to find the difference, so we do:
This means your answer would be 16.75 as that is the closest one.
<em>Hope you understood and have a nice day!! :D</em>