Answer:
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Step-by-step explanation:
Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.
Initial velocity u with which the ball is projected upwards = + 120 ft/s
Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Using the formula:
v² - u² = 2 a h,
where
u = initial velocity of the ball = +120 ft/s
v = final velocity of the ball at the highest point = 0 ft/s
a = uniform acceleration acting on the ball = -32 ft/s²
h = height attained
Substituting the values we get;
0² - 120² = 2 × (- 32) h
=> h = 120²/2 × 32 = 225 feet
The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.
Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,
After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,
Put t = 2.34 s in equation (1).
Hence, this is the required solution.
Answer:
Third option: 2x^3-11x^2+16x-3
Step-by-step explanation:
The product to be found is:
Distributive property will be used for the product:
Multiplication will give us:
The product is: 2x^3-11x^2+16x-3
Hence, third option is the correct answer ..
I think it's square and hexagon.
Answer:
1. -8,
2. 58
3. 0
4.
5. -14/8 or -1.75
Explanation:
1. You just plug in 8 for x into the g(x) equation
So, -(8)^2+7(8)= -8
2. You do the same thing you did for number one.
Plug in 13 for the h(x) equation
|2-4(13)|= 50
Then plug in -1 for the f(x) equation
-(-1)^2+7(-1)= -8
You then do as it says- subtract h(x) from f(x)
Which is 50-(-8) and you get 58.
(That subtraction sign turns into addition/ 2 negatives make a positive)
3. Same thing again.
Plug in what they gave you (3y-1) for X
8(3y-1)-9
You get 24y-17
You then subtract off the -17 and get 24y=17
Divide the 24 off and get y=17/24
Plug the Y back into the equation
8(3(17/24)-1)-9 and you get 0
*Im not a hundred percent sure I did this one right*
4. This is the same as number 3. Didn’t have time to solve this, but it’s the same steps as number 3 :)
5. This time they didn’t give you x so you set it up differently
Now you set the f(x) equation equal to -23
8x-9=-23
Add off the to the 23 to isolate the variable
8x= -14
Divide off the 8
X= -14/8 or -1.75
