Y = y0 + V0y * t + gt^2 / 2
y0 = 0
g ≈ - 32 ft / s^2
(1) y = V0y * t - 16t^2
(2) x = V0x * t
Use (1) and the maximum heigth formula to determine V0y
y max = (V0y)^2 / (2g) = 200 => (V0y)^2 = 2*32*200 = 12,800 => V0y ≈ 113.14 ft/s
y = 113.14 t - 16t^2
for y = 200 => 200 = 113t - 16t^2 => -16t^2 + 113.14t - 200 = 0
Solve that equation using the quadratic formula and you will ge t = 3.54 s
The total time is 3.54 s * 2 = 7.08 s
Then use that time in (2) to find V0x
600 = V0x * t => V0x = 600 / 7.08 s = V0x = 84.7 ft/s
Then, x = 84.7 t.
Now solve for t and replace it in y = 113.14 t - 16t^2 :
t = x / 84.7
y = 113.14 (x/84.7) - 16(x^2 / 84.7 ^2) = 1.336 x - 0.00223x^2
You can check that for, except for a small difference due to the approximations, for x = 600, y = 0 and for x =300 y = 200
Answer: y = 1.336 x - 0.00223x^2
Answer:
76
Step-by-step explanation:
450/100 = 4.5
342/4.5 = 76
Answer:
1. It is symmetric
2. The second diagonal is the counting numbers
3. Any number in the triangle is the sum of the two numbers directly above it
Step-by-step explanation:
1. The first diagonal shows the counting numbers.
2. The sums of the rows give the powers of 2.
3. Each row gives the digits of the powers of 11
Answer:
Pi also appears in the calculations to determine the area of an ellipse and in finding the radius, surface area, and volume of a sphere.
Step-by-step explanation:
The number represented by pi (π) is used in calculations whenever something round (or nearly so) is involved, such as for circles, spheres, cylinders, cones, and ellipses. Its value is necessary to compute many important quantities about these shapes, such as understanding the relationship between a circle’s radius and its circumference and area (circumference=2πr; area=πr²).
Our world contains many round and near-round objects; finding the exact value of pi helps us build, manufacture, and work with them more accurately.
Answer:
= 4
Step-by-step explanation:
sqrt 15 = 3.872
to approximate to the nearest whole number (integer), you take the first decimal number which is 8, since 8 is greater than 5, you will add one(1) to the whole number which is 3 to make it 4.
