Velocity is the rate of change of distance over time.
The ball's approximate vertical speed when it hits the ground is 19.8m/s
The maximum height of an object, thrown up is calculated as:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
Where:
[tex]\mathbf{h_{max} = 20m}[/tex] --- the maximum height
[tex]\mathbf{v = ??}[/tex] --- final velocity
[tex]\mathbf{g = 9.8ms^{-2}}[/tex] --- acceleration due to gravity
So, we have:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
[tex]\mathbf{20 = \frac{v^2}{2 \times 9.8}}[/tex]
Solve for v^2
[tex]\mathbf{v^2 = 2 \times 9.8 \times 20}[/tex]
[tex]\mathbf{v^2 = 392}[/tex]
Take square roots of both sides
[tex]\mathbf{v = 19.8ms^{-1}}[/tex]
Hence, the ball's approximate vertical speed when it hits the ground is 19.8m/s
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When a softball is thrown straight up and reaches a maximum height of 20 meters, the approximate vertical speed when it hits the ground can be determined by taking into account the initial vertical velocity and the time it takes to reach the maximum height and fall back down. Using the given information, the initial vertical velocity is calculated using the equation v0y = sqrt(2gh), where g is the acceleration due to gravity and h is the maximum height. Substituting the values, the approximate vertical speed is 19.80 m/s.
Explanation:When a softball is thrown straight up and reaches a maximum height of 20 meters, its approximate vertical speed when it hits the ground can be determined using the principles of projectile motion. The vertical speed of the ball when it hits the ground can be calculated by taking into account the initial vertical velocity and the time it takes for the ball to reach its maximum height and then fall back down. In this case, since the ball is thrown straight up, the vertical speed when it hits the ground will be equal to the initial vertical speed.
Using the given information, we know that the ball reaches a maximum height of 20 meters. We can calculate the time it takes for the ball to reach this height using the equation for vertical displacement:
h = v0yt + (1/2)gt2
Where:
h is the vertical displacement (20 meters in this case)v0y is the initial vertical velocity (which we need to find)t is the time it takes to reach the maximum heightg is the acceleration due to gravity (approximately 9.8 m/s2)Since we know the maximum height and the acceleration due to gravity, we can rearrange the equation to solve for the initial vertical velocity:
v0y = sqrt(2gh)
where:
sqrt represents the square rootg is the acceleration due to gravity (approximately 9.8 m/s2)h is the maximum height (20 meters in this case)Substituting the values into the equation, we get:
v0y = sqrt(2 * 9.8 * 20)
Simplifying further:
v0y = sqrt(392)
v0y ≈ 19.80 m/s
Therefore, the approximate vertical speed of the ball when it hits the ground is 19.80 m/s.
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153 is the product of 9 and Chad height what is the answer
Use mental math to solve the problem 8.02 − 5.98
Part B
Explain the method of mental math that you used to find the answer. Be specific with each step you took.
Answer:
2.04
Step-by-step explanation:
1. I make an estimate
2. I regroup some of the numbers.
3. then subtract it all and you get...
2.04
Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying by what number?
The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?
A. g(x)=x−6
B. g(x)=−x−6
C. g(x)=−6x−6
D. g(x)=−x+6
I took the test and this was the answer
what is 200 divided by 19.30 rounded ti nearest ten
A family has $35 to spend on dinner. They spend $18 on entrees. Side dishes are $3 each. What is the greatest number of side dishes they can buy? 4 5 6 7
The greatest number of side dishes they can buy is 5, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
The family has $35 to spend on dinner.
They spend $18 on entrees.
Therefore, they are left with $(35 - 18) = $17.
Side dishes are $3 each.
Therefore, the most number of side dishes they can buy is
($17/$3)
= 5.67
≈ 5
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todays Temperature is 3 degrees warmer than it yesterday. Write an expression for today's temperature
Stanley is putting wallpaper strips on his bathroom walls that have a total area of 460 ft2. Each strip of wallpaper covers 22 square feet. How many strips of wallpaper will Stanley need to fully cover his walls? Write your answer using the correct number of significant digits.
Answer:
21
Step-by-step explanation:
We are given that Stanley is putting wallpaper strips on his bathroom walls that have a total area of 460 square feet.
Area of each strip =22 square feet
We have to find the number of strips of wallpapers will Stanley need to fully cover his walls.
In order to find the number of strips of wall papers we are dividing the area of walls by area of each strips
Number of strips of wall paper=[tex]\frac{460}{22}[/tex]
Number of strips of wall paper=20.909 =21 strips of wallpaper
Hence, Stanley will need strips of wallpaper to cover fully his walls=21
Helppppp! After 2 1/4 h, a chainsaw has used 2 13/16 gal of fuel.
How many gallons of fuel did the chainsaw use each hour?
Enter your answer as a mixed number in simplest form.
Answer:
[tex]1\frac{1}{4}[/tex]gallon/hour
Step-by-step explanation:
After [tex]2\frac{1}{4}[/tex] hour a chainsaw has used [tex]2\frac{13}{16}[/tex] gallons of fuel.
[tex]2\frac{1}{4}[/tex] hours = [tex]\frac{9}{4}[/tex] hours
[tex]2\frac{13}{16}[/tex] gallons = [tex]\frac{45}{16}[/tex] = 2.8125 gallons
The chainsaw used fuel after [tex]\frac{9}{4}[/tex] hours = [tex]\frac{45}{16}[/tex] gallons
The chainsaw used fuel in 1 hour = [tex]\frac{\frac{45}{16}}{\frac{9}{4}}[/tex]
= [tex]\frac{45}{16}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{16}[/tex] × [tex]\frac{4}{9}[/tex]
= [tex]\frac{180}{144}[/tex]
= [tex]\frac{90}{72}[/tex]
= [tex]\frac{30}{24}[/tex]
= [tex]\frac{15}{12}[/tex]
= [tex]\frac{5}{4}[/tex]
= [tex]1\frac{1}{4}[/tex] gallons of fuel
Chainsaw used [tex]1\frac{1}{4}[/tex] gallons of fuel in each hour
the ratio of boys to girls in a class is 4:3 are 35 students in the class how many students are boys
The temperature at noon on a winter day was 8°C. At midnight, the temperature had dropped 15°C. What was the temperature at midnight?
Answer:
-7
Step-by-step explanation:
Explain how to model the multiplication of 3 and ‒4 on a number line
First, start at zero. Now, because we are multiplying -4 by 3, we will jump over by 4 to the left ; 3 times on the number line. We should reach -12, and if we check our work, 3 x -4 = -12.
Final answer:
To model the multiplication of 3 and -4 on a number line, start at zero and make three moves to the left by 4 units, ending up at -12. This demonstrates the rule that multiplying numbers with opposite signs results in a negative product.
Explanation:
To model the multiplication of 3 and -4 on a number line, you can follow these steps:
Start at zero on the number line.
Since you are multipling a positive number by a negative number, you will move in the negative direction (to the left).
Make three moves (corresponding to multiplying by 3), each 4 units to the left. This represents adding -4 three times.
Where you end up on the number line is the product of 3 and -4, which is -12.
This method of multiplication on a number line illustrates the rule that when two numbers multiplied have opposite signs, the answer has a negative sign, such as in the example ( -4) x 3 = -12.
What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36)
The fraction is -1,3680/10.
The given expression is 38⋅(−36).
We need to find the product of the given numbers.
What is a fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, whereas the whole can be any number, a specific value, or a thing.
Now, 38⋅(−36)=-1,368
Multiply and divide the number by 10.
That is, -1,368 × 10/10
=-1,3680/10
Therefore, the fraction is -1,3680/10.
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How many degrees is 1/4 of a circle or 1/4 of a full turn? And how many degrees is 1/6 of a circle or 1/6 of a full turn ?
which equation has a slope of 2/3 and a y-intercept of 2
a certain medicine is given an amount proportional to a patient's body weight. suppose a patient weight 132 pounds requires 143 milligrams of medicine. what is the amount of medicine required by a patient weighing 156 pounds?
To solve this problem, we set up a proportion based on the provided information: 132 pounds correlates to 143 milligrams. We then use cross multiplication to find the required dosage for the patient with the weight of 156 pounds, which results to about 169.3 milligrams.
Explanation:The method to solve this issue is to use the concept of proportionality. First, we set up a proportion based on the given information: 132 pounds (patient weight) correlates to 143 milligrams (medicine dosage). Secondly, we could use cross multiplication to find the unknown medicine dosage for the patient weighting 156 pounds. Here's the mathematical process:
Set up the proportion: 132/143 = 156/x Cross multiply: 132*x = 143*156 Solve the equation: x = (143*156)/132
Carrying out the multiplication and division should result in x ≈ 169.3 milligrams. So a patient weighing 156 pounds would require approximately 169.3 milligrams of the medicine.
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what values of x satisfy the equation 0x = 0
(6d+5)−(2−3d) find the difference
(6d + 5) - (2 - 3d)
Remove the parenthesis. This will help the question look more clear
6d + 5 - 2 + 3d
Add like terms.
(6d + 3d) + (5 - 2)
Simplify.
9d + 3
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To find the difference between (6d+5) and (2-3d), distribute the negative sign and combine like terms to get 9d + 3.
Explanation:To find the difference between (6d+5) and (2-3d), we first distribute the negative sign to the terms inside the second parentheses. This gives us:
(6d+5) - (2-3d) = 6d+5 - 2 + 3d
Next, we combine like terms by adding the coefficients of d:
(6d + 3d) + (5 - 2) = 9d + 3
So, the difference between (6d+5) and (2-3d) is 9d + 3.
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Jacinta is working on a jigsaw puzzle that has 403 pieces.she has completed 1/4 of the puzzle. About how many pieces she has placed in the puzzle
You can buy a 2-pound loaf of bread for $2.50 or a 2-pack of 1 1/2 pound loaves for $3.30. Which is the better buy?
Gali found that she can drive 140 miles in 3 hours, including rest stops, or interstate highways. How long would it take her to drive the interstates from Cleveland, Ohio to Washington, D.C. which is 350 miles?
It would take Gali approximately 7.5 hours to drive from Cleveland, Ohio, to Washington, D.C. on the interstate highways.
To find Gali's average driving speed, we can divide the distance she can travel by the time it takes her:
140 miles / 3 hours = 46.67 miles per hour (approx).
Now that we know her average driving speed, we can calculate the time it would take her to drive 350 miles from Cleveland to Washington, D.C.
Time = Distance / Speed
Time = 350 miles / 46.67 miles per hour
Time ≈ 7.5 hours
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16x0 + 2x2 • y –1 i need help because i dont know how to do it
Add using a number line.
5/6 + (−1 1/6)
Drag and drop the word SUM to the correct value on the number line.
Answer:
-1
Step-by-step explanation:
We are given that an expression
[tex]\frac{5}{6}-\frac{11}{6}[/tex]
We have to find the correct value of given expression on the number line.
[tex]\frac{11}{6}=1\frac{5}{6}[/tex]
[tex]\frac{5}{6}-\frac{11}{6}[/tex]
[tex]\frac{5-11}{6}=\frac{-6}{6}[/tex]
[tex]\frac{5}{6}-\frac{11}{6}=-1[/tex]
[tex]\frac{5}{6}+(-1\frac{5}{6})[/tex]
When an integer positive and other integer negative and add them .If negative integer is greater and positive integer is small then we go from left to right.
We go [tex]\frac{5}{6}[/tex] step from [tex]-1\frac{5}{6}[/tex]towards right then we reach at [tex]{-1}[/tex].
Hence, -1 is the correct value of given expression.
find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥
If h = 18 inches, l = 30 inches, and w = 14 inches, what is the area of the figure shown above?
A. 960 square inches
B. 690 square inches
C. 314 square inches
D. 666 square inches
how old is a man that lived 86753.09 seconds? report the answers in years.
Josh has eight pairs of white socks, two pairs of black socks, and one pair of blue socks. Write a fraction to represent the part of his socks that are white.
Use / for the fraction line.
thankyou so much for helping please do it correctly and dont just guess
Convert 19 over 2 to a decimal using long division.
Answer:
9,5, The answer is 9.5...
Round off 43,876,503 to the nearest thousand
Determine which statement is a true proportion.