Answers
Multiply by t on both sides to clear the denominator
at = Vf - Vi
Add Vi to both sides.
at +Vi = Vf
Final answer:
To solve for final velocity (Vf) in acceleration calculations, identify the initial velocity (Vo), acceleration (a), and time (t), then use the formula Vf = Vo + at to find Vf. Substitute the known values into the formula to calculate the final velocity.
Explanation:
To solve for final velocity (Vf) in the formula for acceleration, follow these steps:
Identify the initial velocity, Vo, and any other known variables such as acceleration (a) and time (t).
Determine which equation to use, using the relationship that acceleration is the change in velocity over time (Δv/Δt). The formula to calculate final velocity is v = Vo + at.
Substitute the known values into the equation to solve for Vf. For example, with an initial velocity (Vo) of 30.0 km/h (which converts to 8.333 m/s), an unknown final velocity (Vf), and a time (Δt) of 8.00 seconds, the change in velocity (Δv) would be Vf - Vo.
To find Vf, rearrange the equation: Vf = Vo + (a Δt). Insert the known values into the equation and calculate the result.
As an example, if the initial velocity Vo is 0 and the acceleration is 0.40 m/s² over a time of 100 seconds, then the final velocity Vf is calculated as:
Vf = Vo + at = 0 + (0.40 m/s²) (100 s) = 40 m/s.
This procedure will yield the final velocity of an object assuming constant acceleration over the given time period.
Related Questions
The sum of two consecutive odd integers is 56. what is the smaller number?
Answers
28-1=27
so the smaller number is 27
9/8*0.97 which is closer to a.0.5 b.1 c.2
Answers
Final answer:
After performing the multiplication 9/8*0.97, which equals 1.09125, we find that this number is closest to 1 as compared to the other options provided (0.5 and 2).
Explanation:
To determine which number 9/8x0.97 is closer to among the options 0.5, 1, and 2, we need to perform the multiplication. The fraction 9/8 can be converted to a decimal by dividing 9 by 8, which gives us 1.125. Next, we multiply 1.125 by 0.97 to find the result of the original expression.
Multiplying these two numbers gives us 1.125 x 0.97 = 1.09125. Comparing this result to the options provided, we can clearly see that 1.09125 is closest to 1.
Therefore, the answer to the question is (b) 1, since 1.09125 is very close to 1 and further away from 0.5 and 2.
What is 4 feet to inches?
Answers
So, that means that there are 48 inches in 4 ft.
You multiply 4 ft by 12 in to get 48
Plot 4/3 and 26/3 on the number line.
Answers
4/3 = 1.3333
26/3 = 8.6666
so, on a number line, you'd just plot 4/3 a little past 1, and plot 26/3 a little over half past 8.
20 is what percent of 50
Answers
Help solve x+6=4y
2x-8y=-12
Answers
x = -6+4 + , y E R
Which number rounds down when rounded to the nearest hundredth?
a. 46.215
b. 54.384
c. 57.456
d. 61.307
Answers
round 1,647 to the nearest thousand
Answers
Find the perimeter of the shape below:
(attached)
7.4 units
8.9 units
11.2 units
13.6 units
Answers
Length of RS = sqrt((-2 - (-1))^2 + (7 - 3)^2) = sqrt((-1)^2 + 4^2) =sqrt(1 + 16) = sqrt(17) = 4.12 units
Length of ST = sqrt((2 - (-2))^2 + (5 - 7)^2) = sqrt(4^2 + (-2)^2) = sqrt(16 + 4) = sqrt(20) = 4.47 units
Length of TU = 3 units
Length of UR = 2 units
Perimeter = 4.12 + 4.47 + 3 + 2 = 13.6 units.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}[/tex]. Option (d) is correct.
Further explanation:
The distance between the two points can be calculated as follows,
[tex]\boxed{{\text{Distance}} = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} }[/tex]
Given:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
Explanation:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
The distance between points [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( {2, 5} \right),[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 2 - 2} \right)}^2} + {{\left( {5 - 7} \right)}^2}}\\&= \sqrt {16 + 4}\\&= \sqrt {20}\\&= 4.47\\\end{aligned}[/tex]
The distance between points [tex]\left( {2, 5} \right)[/tex] and [tex]\left( {- 1, 5} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 - 2} \right)}^2} + {{\left( {5 - 5} \right)}^2}}\\&= \sqrt {9 + 0}\\&= \sqrt9\\&= 3\\\end{aligned}[/tex]
The distance between points [tex]\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 1} \right)}^2} + {{\left( {3 - 5} \right)}^2}}\\&= \sqrt {0 + 4}\\&= \sqrt4\\&= 2\\\end{aligned}[/tex]
The distance between point [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 2} \right)}^2} + {{\left( {3 - 7} \right)}^2}} \\&= \sqrt {1 + 16} \\&= \sqrt {17} \\&= 4.13\\\end{aligned}[/tex]
The perimeter of the polygon can be calculated as follows,
[tex]\begin{aligned}{\text{Perimeter}} &= 4.47 + 3 + 2 + 4.13\\&= 13.6\\\end{aligned}[/tex]
Option (a) is not correct.
Option (b) is not correct.
Option (c) is not correct.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}.[/tex] Option (d) is correct.
Learn more:
Learn more about inverse of the functionhttps://brainly.com/question/1632445. Learn more about equation of circle brainly.com/question/1506955. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: perimeter, shape, perimeter of shape below, Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.
original price $18 markup 15%
Answers
What is the ratio of the area of the inner square to the area of the outer square?
(a−b)²+b²/a²
a²−b²/a²
(a−b)²/(a+b)²
(ab)²/(a+b)²
Answers
(a−b)²+b²/a²
proof
if A is the area of the
inner squared, so A= c², and c²= (a−b)²+b²
so the side of the outer must be a-b +b=a, its area is a²
Answer: I just did the quiz in Plato the answer will be option A or (a-b) 2+b2/a2
Step-by-step explanation:
as the fish-and-game warden of your township, you are responsible for stocking the town pond with fish before fishing season. the average depth of the pond is 20 feet. you plan to start the season with one fish per 1000 cubic feet. you intend to have at least 25% of the opening day's fish population left at the end of the season.what is the maximum number of licenses the town can sell if the average seasonal catch is 20 fish per license?
...?
Answers
= 1,332,000 ft^2
Average depth of 20 ft =
1,332,400 / 20 = 2,664,000 ft^3
2,664,000 ft^3 / 1 fish/1,000 ft^3 = 26,640 fishes
26,640 x 75 % = 19,980 catchable fishes
19,980 /20 = 999 licenses
hope this helps
if the roots of the equation (a2+b2)x2-2(ac+bd)x+(c2+d2)=0 are equal, prove that a/b=c/d ...?
Answers
Since d = -4(ad - bc)^2, then roots are real only when ad - bc = 0, ie, ad = bc.
Now, using the quadratic formula we get just one root = -(ac + bd)/(a^2 + b^2).
---------------------------------------...
You can also check:
(x + (ac + bd)/(a^2 + b^2))^2 = x^2 + 2(ac + bd)/(a^2 + b^2)x + (ac + bd)^2/(a^2 + b^2)^2 and note
(ac + bd)^2 = a^2c^2 + 2abcd + b^2d^2 = a^2c^2 + abcd + abcd + b^2d^2 = a^2c^2 + a^2d^2 + b^2c^2 + b^2d^2 = (a^2 + b^2)(c^2 + d^2).
So x^2 + 2(ac + bd)/(a^2 + b^2)x + (ac + bd)^2/(a^2 + b^2)^2 = x^2 + 2(ac + bd)/(a^2 + b^2)x + (c^2 + d^2)/(a^2 + b^2)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
1.3 yrs = ? hrs ...?
Answers
1 year = 365.25 days
1.3 years = x days
________________
1.3 years = 1.3 * 365.25 days = 474.825 days
________________
________________
1 day = 24 h
474.825 days = x hours
________________
474.825 days = 474.825 * 24 hours = 11395.8
A museum grounds keeper is crating a semicircular statuary garden with diameter of 30 feet. There will be a fence around the garden. The fencing costs $9.25 per linear foot. About how much will the fencing cost altogether?
Answers
6 sweets cost 24p altogether how much do 5 sweets cost
Answers
To calculate the cost of 5 sweets when 6 sweets cost 24p, divide the total cost by the number of sweets to determine the cost of one sweet, then multiply by 5. The cost for 5 sweets is 20p.
To find out how much 5 sweets cost when 6 sweets cost 24p altogether, we first need to calculate the cost of one sweet. We divide the total cost by the number of sweets to get the cost per sweet. Here's how it's done:
Find the cost of one sweet by dividing the total cost of 6 sweets (24p) by 6: Cost per sweet = 24p / 6 = 4p.Now, multiply the cost per sweet by the number of sweets you want to find the cost for, which in this case is 5: Cost for 5 sweets = 4p / sweet × 5 sweets = 20p.Therefore, 5 sweets would cost 20p.
How to solve 2x 4=17 step by step?
Answers
Determine which two values the following expression is between.
π2
A. 9 and 9.61
B. 9.61 and 10.24
C. 10.24 and 10.89
Answers
_____________________________________________________
[Note: This is based on the assumption that the expression in the problem given is: "(π) squared"; or: "π² " — [and NOT: "(π*2)"; or, "(2*π)".]
_______________________________________________________
Explanation:
______________________________________
Let us assume the expression in the problem means:
"(π) squared" or, "π² " {"pi squared"; or, "pi to the second power"}.
___________________________________
Then, π² = (3.1415926535897932) ²
= 9.8696044010893583772
___________________________________
Even if one uses "3.14" for "π" ; since π ≈ 3.14; then:
Then, π² ≈ (3.14)² ; and: (3.14)² = 9.8596
___________________________________
Both methods result is 9.8....; which corresponds with:
Answer choice: [B]: 9.61 and 10.24 .
______________________________________________
Answer:
9.61 and 10.24
Step-by-step explanation:
Kumbu saleh traded primarily in
Answers
Hope this will help.
A ball is projected at an angle of 53°. If the initial velocity is 48 meters/second, what is the vertical component of the velocity with which it was launched?
Answers
Answer: B (38m/s)
Explanation: The vertical component of a vector such as velocity is the magnitude of the vector multiplied by the sine of the angle.
What is 7 divided by 1/2?
Answers
7 * 2/1 = 14/1 or just 14
Найдите, чему равна сумма корней уравнения: |3x-y|+(x-2)^2+|x-y+z|=0
Answers
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Jason is 11 times older than Zack. The sum of their ages is 48. How old is Zack?
Answers
Let z = Zack's age
j = 11z // Jason is 11 times older than zack
j + z = 48 // The sum of their ages in 48
j = 11z becomes j - 11z = 0
j - 11z = 0
j + z = 48
Multiply the top equation by -1
-1(j - 11z) = (0)-1
-j + 11z = 0
-j + 11z = 0
j + z = 48
Add both equations to cancel the j terms.
12z = 48
Divide both sides by 12.
z = 4
Zack is 4 years old and Jason is 44 years old.
Tomas factored the polynomial completely. What is the value of C?
3x^4 – 18x^3 + 9x^2 –54x
Ax(x^2 + B) (x + C)
C = ?
Answers
Helpppppppp I'm really bad in math
Answers
What you could do is multiply each side by 12.
Then it will become 6x + 2x = 24
Combine like terms: 8x = 24
Now divide each side by 8
The answer is x = 3
The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the army.
Answers
The data provided does not include specific information needed to calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army.
Explanation:Unfortunately, the provided information does not give specific numbers for single parents actively serving in the different branches of the U.S. military, including the Army. Therefore, it is not possible to accurately calculate the empirical probability this question is asking for. However, if such data were available, you would calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army by dividing the number of single parents in the Army by the total number of single parents on active duty.
Learn more about Empirical Probability here:https://brainly.com/question/1452877
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use analytic methods to find the extreme values of f(x)= (1/x) + lnx on the interval 0.5 ≤ x ≤ 4 and where they occur
Answers
At the extreme values, f'(x) = 0
f'(x) = -1/x^2 + 1/x = 0
(x - 1)/x^2 = 0
x - 1 = 0
x = 1
f(1) = 1/1 + ln 1 = 1
Therefore, the extereme value is 1 and occurs at x = 1.
An auditorium has 25 rows with 45 seats in each row, how many seats are there in all?
Answers
1,8,15,22,...the next three of the arithmetic sequence
Answers
Real easy
A city finds its residents are moving to the suburbs. its population is decreasing by 4% per year. if the initial population of the city was 100,000, what will its population be in 10 years (round answer to the nearest person)?
Answers
40% = 40,000