A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?
Answers
a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) The girl travels a distance of 6 miles in the first 3 hours.
c) The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity of the girl is approximately 2.476 miles per hour.
a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].
b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:
[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)
Where:
[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:
[tex]\Delta x = (2)\cdot (3)[/tex]
[tex]\Delta x = 6\,mi[/tex]
The girl travels a distance of 6 miles in the first 3 hours.
c) The travelled distance is determined by the following geometric expression:
[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)
If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:
[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]
[tex]\Delta x \approx 22.283\,mi[/tex]
The girl travels a distance of approximately 22.283 miles during her entire hike.
d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.
[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)
If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:
[tex]\bar v = \frac{22.283}{9}[/tex]
[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]
The average velocity of the girl is approximately 2.476 miles per hour.
To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060
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Answers
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Answers
Answer:
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
I just calculated 67x109 and it gave me 7303
HOPE THAT HELPS YOU MARK ME BRINILYLIST
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Answers
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Step-by-step explanation:
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Answers
Answer:
7 minutes
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Solve.
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(8)
Answers
Answer:
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Mr. Jones spent $156 to attend a college football game.
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Answers
Answer: $62.40
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The sum of the interior angles of a 4 sided figure formula :
Sum of the interiors = (n - 2) 180°
Sum of the interiors = (4 - 2) 180
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Answer:
The degrees inside the quadrilateral are 85, 148, 69, and 58.
Step-by-step explanation:
The interior of the quadrilateral equals 360 degrees.
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85 + 69 = 154.
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7x + 213 needs to equal 360.
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Answers
because 2/7 * 3 = 6/7
Answer:
2/7 of the pie
Step-by-step explanation:
6/7 / 3 = 2/7
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Answers
Answer:
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Answers
Answer:
slope = - [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
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Answers
Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
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x = 2.57
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Answers
Answer:
that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not
Answer:
he ate 5 slices
Step-by-step explanation:
40/8=5 you would thinks you are timeing the answernth term of 5,8,13,20,29
Answers
Answer:
nth term = 4 + n^2
Step-by-step explanation:
Sorry if the answer is long but I'm hoping my explanation can help.
In order to understand the issue, we should try to find the pattern between the terms given.
The terms given were 5, 8, 13, 20 and 29.
Between the first term and second term, the difference is 3.
Between the second and third term, the difference is 5.
The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is
2n - 1.
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nth term = (n-1) term + 2n - 1
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5 = 0th term + 2 (1) - 1
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We can find the nth term
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As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.
We can rewrite it as
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The triangular formula is stated such that
Tn = (n*(n+1))/2
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This equation becomes
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Answers
Answer:
192km
Step-by-step explanation:
480/5 = x/2
5x = 960
/5 /5
x = 192
Answer:
If Noah's driving was at a constant rate, he drove 192 km in 2 hours
Step-by-step explanation:
In order to find the answer to this question then we can set up two equations with x meaning the km/h he is going and y as our answer.
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480 = 5x
Dividing both side by 5:
x=96
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What is 1+1 equal? Explain in paragraph form! 5 or more sentences!
Answers
I hope this helps give you a start
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(x+ 3. y -5)
Answers
D = (7, -9)
E = (8, -10)
hope this helps!
Jake earns $9.85 per hour working at a software company. He wants to earn at least $300 a week. How many full hours must he work to earn the money?
Answers
Answer:
30.4 hours
Step-by-step explanation:
300 divided by 9.85
This gives you 30.4
an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Answers
Answer:
2
Step-by-step explanation:
If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!
Please help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
Answers
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5
Answers
Answer:First option, y=f(x+3)+5
Step-by-step explanation:
analyse the transformation first
From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 unitsInput transformation
In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3so, f(x+3) is the first componentWhen a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)in this instance, it is 0 - -5=5so the transformation vertically is +5Final answer, when all values are added is y=f(x+3)+5
plssssssssssssssssssssssss
Answers
Y = x^2 -3
y = (x-3)(x+3)
For x-intercepts, y = 0
Therefore (x-3)(x+3) = 0
x intercepts are (3,0) and (-3,0)
The line of symmetry is x = 3+(-3) = 0
Vertex is on the line of symmetry
When x = 0, y = -1
Vertex = (0,-1)
Answer:
The answer is equal to 0
Step-by-step explanation:
Explanation in the picture.
As a car owner/lessee, it is not a requirement to have minimum coverage auto insurance.
T or F
Answers
Answer: False
Step-by-step explanation: