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Soloha48 [4]
2 years ago
15

A child drops a ball from a window that is 24 feet high. The ball strikes the ground in 3.0 seconds. What is the velocity of the

ball the instant before it hits the ground?
Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

The velocity of the ball the instant before it strikes the ground is 30m/s

Given the data in the question

Since the ball was initial at rest before it was dropped by the child

Initial velocity;  

Time taken for the ball to hit the ground;  

Final Velocity;  

To find the velocity of the ball the instant before it hits the ground

We use the First Equation of Motion:

Where v is the final velocity, u is the initial velocity, t is time and a is the acceleration.

Now, since the ball was thrown from a particular height (window), it is under gravity and acceleration due to gravity;  

Hence, the equation becomes;  

We substitute our values into the equation

Therefore, the velocity of the ball the instant before it strikes the ground is 30m/s.

Step-by-step explanation:

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2(-2)^2+3(-3)^3-(-2)^2+4(5)^2-(-2)^2 = 19

19 is the answer.
3 0
3 years ago
How would i estimate the quotient?
Viefleur [7K]
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers. In a division sum, when the divisor is made up of 2 digits or more than 2 digits, it helps if we first estimate the quotient and then try to find the actual number.
8 0
3 years ago
Find the area of a circle with a circumference of 31.5 units
Westkost [7]

Answer:

79 units²

Step-by-step explanation:

The area of a circle is found by using the formula A = π x r². Since we are not given the radius we can use the formula r = C / (2π). Substituting in the given values, we get r = 31.5/(2π). 2 times pi is 6.283185307. 31.5 divided by this will get you 5.013380707. Now, put that value in for r in the area equation. A = π x 5.013380707². Pi times 5.013380707² equals 78.96074613. This can be rounded to 79. (Or 80 if you need to the nearest whole number.)

6 0
3 years ago
Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin
ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

  • Same slopes
  • Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + \frac{5}{2} x

∴ y =  \frac{5}{2} x - 5

- The value of m is the coefficient of x

∴ m = \frac{5}{2}

∴ The slope of the given line is \frac{5}{2}

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = \frac{5}{2}

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = \frac{5}{2} x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = \frac{5}{2} (3) + b

∴ -5 = \frac{15}{2} + b

- Subtract \frac{15}{2} from both sides

∴ b = \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x + \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x - \frac{25}{2}

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0
3 years ago
Solve for x<br> x^9=12^2x12^7
jekas [21]

Answer:

<h2>12</h2>

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

{x}^{9}  =  {12}^{2}  \times  {12}^{7}

Here we can simplify this further using this law,

{a}^{m}  \times {a}^{n} =  {a}^{m + n}

So we will get,

{x}^{9}  =  {12}^{7  + 2}  \\  {x}^{9} =  {12}^{9}

Since the powers are same we can cancel it out and we will get,

x = 12

(Hope this answer helped :))

4 0
3 years ago
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