The distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
What is resolution of vectors?If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.
Given is that body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.
[A] -
We can write the total distance covered along the slant as a function of [x] and [y] components as -
h = h[x] i + h[y] j
Now -
h[x] = 4tcos(22°)
Now -
F = ma
F = m{dv/dt}
Fdt = mdv
mg sin(22°)dt = mdv
dt = {1/g sin(22°)}dv
∫dt = ∫ {1/g sin(22°)}dv
t = v/g sin(22°)
So, we can write -
h[x] = 4 cos(22°)v/g sin(22°)
h[x] = {4v/g}{cot (22°)}
Similarly -
h[y] = 4t'cos(22°)
F = ma
F = m{dv/dt}
Fdt = mdv
N cos(22°) - mg = F
{N cos(22°) - mg}dt' = mdv
{mg cos(22°) - mg}dt' = mdv
{g cos(22°) - g}dt' = dv
dt' = dv/{g cos(22°) - g}
∫dt' = ∫dv/{g cos(22°) - g}
t' = {v/g(cos(22°) - 1)}
So -
h[y] = 4 x {v/g(cos(22°) - 1)} x cos(22°)
h[y] = {4v/g(cos(22°) - 1)} cos(22°)
So -
Distance travelled across the slant -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²
[2] -
Yes, it will slide down again.
Therefore, the distance travelled across the slant will be -
h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.
To solve more questions on resolving vectors, visit the link below -
https://brainly.com/question/17264346
#SPJ5
{Question in english language -
A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=
Answer:
6÷4(7+8) = 22,58-6(4+9)= 264÷8(9+3)= 6Step-by-step explanation:
6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,58-6(4+9)= 8-6(13)= 2 × 13= 26 4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6Robert graded his friend Sam's practice test and a him a 72% Sam checked it again in found that he really made a 80% Robert said relax i only made an error of 8%Is robert correct
Answer:
No
Step-by-step explanation:
Use the formula, difference/original. The difference is 8%. The original is 72%.
The equation would be: 8/72
Which is 1/9
1/9 = 11.1%
So he made a mistake of 11%
4,268 ÷ 2 = n.
Find n.
A. 1,324
B. 1,234
C. 2,134
D. 2,314
Answer:
C.2,134
Step-by-step explanation:
4÷2=2
2÷2=1
6÷2=3
8÷2=4
Answer:
C
Step-by-step explanation:
Had that same question and I just guessed and got it right
PLSSS HELP THIS IS HARD ANYONE
Answer:
270 degrees counterclockwise rotation/ the last answer
Step-by-step explanation:
reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle
dilation would change the size of the shape
and translation wouldn't map it correctly bc it would still be turned the wrong way
Answer:
270 degrees counterclockwise rotation
Step-by-step explanation:
you can use the formulas, but if you don't know them you can always draw
270 degrees counterclockwise = 90 degrees clockwise
(x,y) -> (y,-x)
A'(1,-2) -> A(-2,-1)
B'(3,-2) -> B(-2,-3)
C'(3,-5) -> C(-5,-3)
D'(1,-5) -> D(-5,-1)
Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.
Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.
Answer:
6:7
Step-by-step explanation:
=store A:store B
=150:175
=6:7
Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)
Answer:
x+1
Step-by-step explanation:
4x - 1 + (-3x) + 2 = x + 1
I need to find the missing angles
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
PLEASE HELP GIVING POINTS
Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.
Step-by-step explanation:
To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].
This means to rise up ___ amount of numbers and run __ amount of numbers.
Rise is moving along y, and x is moving along x.
-Additional info:
positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)-------------
#TeamTrees #TeamSeas #PAW #Spread_Positivity
I hope this helps,
-Oceanbreeze24
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height
Answer:
16
Step-by-step explanation:
Divide 640 by 40.
[tex]640 = x \times 10 \times 4[/tex]
[tex]640 = 40x[/tex]
Divide both sides by 40
[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]
[tex]x = 16[/tex]
Thus the height would be 16 feet .
Help me please!! I don’t understand
Answer:
Step-by-step explanation:
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
The points in the table lie on a line. Find the slope of the line.
Do Now 13.2:
Green light has a frequency of 5.71 x 10' Hz.
Calculate the energy of a green light photon.
(SHOW ALL WORK for FULL CREDIT!)
Answer:
Not Step-by-step explanation:
Not enough info
please help me i’m being timed!!!
Answer:
B
Step-by-step explanation:
The heaviest pig on the farm weighs 100 pounds
Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?
the price of a ticket in
2001
the price of a ticket in 2001
the increase in ticket price per year
the increase in ticket price per year
the total number of years the theater has been open
the total number of years the theater has been open
the difference in the price of a ticket in
2001
and the price in
2011
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
what is 1/8 divided by 2 3/4?A 1/32B 2 1/3C 1/22D 2 1/2
Answer: It is letter C. 1/22
Step-by-step explanation:
Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.
1/8 x 4/11= 4/88
4/88 simplified = 1/22
Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)
Answer:
A and B
Step-by-step explanation:
5-(-8) = 5+ 8= 13 (the distance between -8 and 5)
5+|-8| = 5 +8 = 13
Who can help me on this? NEED OF HELP!
Answer:
25+25 = 50
sum means +
Integers are positive and negative numbers, no decimals or fractions though
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
Find a mixture that will make the different shade of green that is more yellow.
Answer:
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
I hope this helps have a great day :)
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?
Step-by-step explanation:
the slower truck travels x miles in 5 hours.
the faster truck travels x + 5×2 = x + 10 miles in 5 hours.
so,
x + x + 10 = 315 miles
2x = 305 miles
x = 152.5 miles (in 5 hours)
therefore, the slower truck's speed was 30.5 mph.
the faster truck's speed was 30.5 + 2 = 32.5 mph.
What is the distance between the points (5, 1) and (-3, -5)?
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10