Answer:
It takes 1.323 seconds for the ball to fall by 36 feet
Step-by-step explanation:
The height of the ball dropped from a height of 64 ft is modeled by the equation:
h(t) = -16t² + 64 where t is the time in seconds.
To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.
Substituting h(t) to be 36 ft:
36 = -16t² + 64
multiply through by -1
-36 = 16t² - 64
add 36 to both sides
16t² -64 + 36 = -36 + 36
16t² - 28 = 0
add 28 to both sides
16t² - 28 + 28 = 0 +28
16t² = 28
Divide both sides by 28
16t²/16 = 28/16
t² = 1.75
Find squre root of both sides
√t² = √1.75
t = 1.323 seconds
It takes 1.323 seconds for the ball to fall by 36 feet
Step-by-step explanation:
<u>Substitute g = 10, and h = 5 into the expression:</u>

<u>Multiply:</u>

<u>Cross out -2.5 and 2.5, as they're equal to 0:</u>
4.
Answer:
r=1
Step-by-step explanation:
First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

By doing so, we find:

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.
As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

Well 12 inches is a foot so 24inches is 2 feet so there is a hint so 90 divided by 12 and there is part of it
The answer is in the photo