Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t,x) = x/t. Your measured distance and time have the following values and uncertainties x = 6.1 meters, 2.3 meters and t = 6.3 seconds and 1.5 seconds. What is the uncertainty in the average speed, ? Units are not needed in your answer.

Answers

Answer 1

Answer:

The uncertainty in the average speed is 0.134 meters per second.

Step-by-step explanation:

Let be [tex]v(t, x) =\frac{x}{t}[/tex] the average speed function, we calculate the uncertainty in the average speed by total differentials, which is in this case:

[tex]\Delta v = \frac{\partial v}{\partial x}\cdot \Delta x+\frac{\partial v}{\partial t}\cdot \Delta t[/tex]

Where:

[tex]\Delta v[/tex] - Uncertainty in the average speed, measured in meters per second.

[tex]\frac{\partial v}{\partial x}[/tex] - Partial derivative of the average speed function with respect to distance, measured in [tex]s^{-1}[/tex].

[tex]\frac{\partial v}{\partial t}[/tex] - Partial derivative of the average speed function with respect to time, measured in meters per square second.

[tex]\Delta x[/tex] - Uncertainty in distance, measured in meters.

[tex]\Delta t[/tex] - Uncertainty in time, measured in seconds.

Partial derivatives are, respectively:

[tex]\frac{\partial v}{\partial x} = \frac{1}{t}[/tex], [tex]\frac{\partial v}{\partial t} = - \frac{x}{t^{2}}[/tex]

Then, the total differential expression is expanded as:

[tex]\Delta v = \frac{\Delta x}{t}-\frac{x\cdot \Delta t}{t^{2}}[/tex]

If we get that [tex]\Delta x = 2.3\,m[/tex], [tex]t = 6.3\,s[/tex], [tex]x = 6.1\,m[/tex] and [tex]\Delta t = 1.5\,s[/tex], the uncertainty in  the average speed is:

[tex]\Delta v = \frac{2.3\,m}{6.3\,m}-\frac{(6.1\,m)\cdot (1.5\,s)}{(6.3\,s)^{2}}[/tex]

[tex]\Delta v = 0.134\,\frac{m}{s}[/tex]

The uncertainty in the average speed is 0.134 meters per second.


Related Questions

Solve v 5x + 11 = 9
O x = -1.6
O x = 4
O x = 14
x = 18.4

Answers

Answer:

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Is 2:3 equal to 3:4 Please help will give brainliest!!!

Answers

Answer:

No

Explanation:

The unit rates are not the same.

please help asap

Points are identified in pictures by​

Answers

whats the question??

A sample of ore is found to be 0.0297% diamond and 0.025% copper. What is the percentage of matter in the ore that is neither diamond nor copper? Round your answer to the nearest ten thousandth.

Answers

Answer:

99.9453% of matter in the ore is neither diamond or copper

Step-by-step explanation:

First add  0.0297 and 0.025

0.0297+0.025=0.0547

Now subtract 0.0547 from 100

100-0.0547=99.9453

99.9453% of matter in the ore is neither diamond or copper

Hope this helps! Plz award Brainliest : )

solve: 5(2+2x)-3x>17

Answers

Answer:

10+10x-3x>17

10+7x>17

7x>17-10

7x>7

x>1

Hope it helps:-)


The product of Goran's score and 3 is 39.
Use the variable g to represent Goran's score

Answers

If you’re looking for what g=
(G)3= 39
3/39
13
G=13

1) 6x – 5y – 3z = 15
2x – 3y – 4z = 2
y = 4z - 4

Answers

Step-by-step explanation:

6x - 5y -3z=15 ...................(1)

2x - 3y - 4z =2 ...................(2)

the area of the base of a cone is 100sq. cm and it's height is 6cm. what is its volume​

Answers

V=⅓πr²h

V=*π*(100)²*6

V=188495.56

3

V=62831.85cm³

Answer:

600 cm2

Step-by-step explanation:

Area of base of cone (A) = 100 cm2

h = 6 cm

Now,

V = A × h

= 100 × 6 = 600 cm2

Six times the sum of a number and seven is 30. Find the number.

Answers

Answer:

x = -2

Step-by-step explanation:

6(x+7)=30

6x+42=30

6x=-12

x=-2

Step-by-step explanation:

Hey there!!

According to the question,

One number is 7.

Let another no. be x.

So, the condition is 6(x+7)= 30

Now,

6(x+7) = 30

6x +42 = 30

6x = 30-42

[tex]x = \frac{ - 12}{6} [/tex]

Therefore the no. is -2.

Check,

6(-2+7)= -12 + 42 = 30 { they gets subtracted but sign remains (+) only }.

Hope it helps....

"Since the fall of 2008, millions of Americans have lost jobs due to the economic meltdown. A recent study shows that unemployment has not impacted males and females in the same way (Newsweek,April 20, 2009). The unemployment rate is 8.8% for eligible men and only 7.0% for eligible women. Suppose 52% of the eligible workforce in the U.S. consists of men. What is the probability that a randomly selected worker is both female and employed?"

Answers

Answer: 0.42%.

Step-by-step explanation:

Probability of (M(Eligible Men)) = 0.52

Probability of (W(Eligible Women)) = 1 - 0.52

= 0.48

Probability of (UM(Unemployed Men)) = 0.088

Probability of (UW(Unemployed Women)) = 0.070.

therefore;

Probability that the worker is a man = [P(UM)*P(M)]/[P(UM)*P(M) + P(UW)*P(W)] = 0.576613

0.088 * 0.52 )/ 0.088 * 0.52 + 0.070 * 0.48

= 0.04576 / 0.07936

= 0.5766

probability that the randomly selected worker is both female and unemployed is

= 1 – 0.58%

= 0.42%

Simplify.
1/2 (x – 6) + 3/2 (x + 2)
2x + 6
2x
2x-4
2x + 3

Answers

Answer: B 2x

1/2x-3+3/2x+3

Which square root is between 4 and 5? 10 14 24 132​

Answers

Answer:

sqrt(24)

Step-by-step explanation:

The square root of 24 is between 4 and 5 since we know that 4 square is 16 and 5 squared is 25.  16 < 24 < 25.

Cheers.

-Is x= 4 a solution of 2(x - 3) + 7 = 23? How do you know?

Answers

Answer:

x = 11

Step-by-step explanation:

        Simplify [tex]2(x-3)+7[/tex]

        Apply the distributive property.

[tex]2x - 6 + 7= 23[/tex]

[tex]2x+1=23[/tex]

         Move all terms not containing  x  to the right side of the equation.

         Subtract  1  from both sides of the equation.

[tex]2x =23-1[/tex]

[tex]2x=22[/tex]

          Divide each term by  2  and simplify

[tex]\frac{2x}{2} = \frac{22}{2}[/tex]

          Cancel the common factor of  2

[tex]x = \frac{22}{2}[/tex]

          Divide 22 by 2

[tex]x = 11[/tex]

No 4 is not a solution of the equation becouse it would be an inproper solution

No... it’s not.

Let’s substitute x = 4 in a given equation

LHS = 2(x-3) + 7

= 2 (4-3) + 7 ( substituting x = 4)

= 2(1) + 7

= 2 + 7

= 9

RHS = 23

Here, as we can see by substituting x = 4, in the given equation, LHS ≠ RHS.

Hence, it’s not a correct solution

PLEASE HELP MEEEEEEEEE FAST!! ILL GIVE BRAINLIEST!!:((((((((

Answers

Answer:

I believe it's D. (3,4)

Step-by-step explanation:

A equals 3, and after plugging that in and simplifying, you're left with B=4.

Hope this helps!

Answer:

b = 4

Step-by-step explanation:

if 2n-1/4=0 what is the value of n​

Answers

Answer:

n = 1/8

Step-by-step explanation:

2n-1/4=0

Add 1/4 to each side

2n-1/4+1/4=1/4

2n = 1/4

Divide each side by 2

2n/2 = 1/4 * 1/2

n = 1/8

if line L bisects AC, AB= 6x+7 and BC= 4x+5, find BC

Answers

Answer:

BC=1

Step-by-step explanation:

Are the following figures similar?

Answers

Answer:

im pretty sure its c-no the corresponding sides are not proportional

Step-by-step explanation:

How would you answer this question?

Answers

Answer:

Positive; P increases

Step-by-step explanation:

When gasoline prices go up, the demand for push lawn mowers increases, so the sign of the cross-elasticity is positive.

If gasoline prices go up, and demand for push lawn mowers goes up, then the price for push lawn mowers will also go up.

The graphs below have the same shape. What is the equation of the red
graph?
g(x) = ?
fix) = -X?

Answers

Where is your graph so I could help you ?

Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true? Check all that apply. Lauren could solve to find the x-coordinate. Lauren could solve to find the y-coordinate. Lauren could solve (4 + 0.5) – 0.5 to find the x-coordinate. Lauren could solve (7.5 + 3) + 3 to find the y-coordinate. Finding the midpoint is equivalent to partitioning a line segment in a 1:1 ratio.

Answers

Answer:2 and 3 and 5

Step-by-step explanation:

Answer:

answers 2,3,5 are correct

Step-by-step explanation:

In a shopping mall there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?

Answers

Answer:

90 stands

Step-by-step explanation:

1/3 x 3 = 1.

30 x 3 = 90.

The answer is 90. I hope this helps!

The equation |x|=a has no solution if a is a negative number. (1 point) A. The statement is false. The equation |x|=a has one solution if a is a positive number. B. The statement is false. The equation |x|=a has one solution if a is a negative number. C. The statement is false. The equation |x|=a has no solution if a is a positive number. D. The statement is true.

Answers

Answer:

The statement is false. The equation |x|=a has one solution if a is a negative number.

Step-by-step explanation:

Given the expression  |x|=a, we must understand that  |x| can return both positive and negative value of x i.e

x=a and -x = a

from the second equation,

-x = a

multiply both sides by minus

-(-x) = a

x = -a

Hence If "a" is negative number according to the question then the  equation has one solution which renders the fact that the equation has no solution if a is negative false.

Chase and Matty started with the same amount of money and Matty has a certain amount of money left over. Move the red point so the green rectangle has the same length as three rubber duckies above it. This represents the amount of money that Matty has left over after buying two rubber duckies. How much does Matty have left over?

Answers

Answer:

Step-by-step explanation:

Krulik, Stephen; Rudnick, Jesse A.

Problem Solving: A Handbook for Elementary School

Teachers.

ISBN-0-205-11132-7

88

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Allyn & Bacon/Logwood Division, 160 Gould Street,

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problem solving and heuristics, the pedagogy of problem solving,

strategy games, and non-routine problems. An extensive rumber of

problems and strategy game boards are given. A 50-item bibliography

of problem solving resources is included. (Author/MVL)

2. The students in PE have spent 17/20 of their class period playing basketball.What decimal is equivalent to 17/20?​

Answers

Answer:

.85

Step-by-step explanation:

just divide 17 by 20

Answer:

0.85 or .85

Step-by-step explanation:

Hope this helps.!!111111

YW

What is -4,3 rotated 90° clockwise?

Answers

Answer:

4,-3

Step-by-step explanation:

div g gbc sti ri us fila ru has slap

21 out of 70 of the athletes wore green shorts. Which fraction is equivalent to this?

Answers

Answer:

Step-by-step explanation: 21/70

Answer: the answer is

42/140

or

3/10

Explain what SOHCAHTOA means.

Answers

Answer:

It's a mnemonic device to help you remember the three basic trig ratios used to solve for missing sides and angles in a right triangle. It's defined as: SOH: Sin(θ) = Opposite / Hypotenuse. CAH: Cos(θ) = Adjacent / Hypotenuse.

Answer:

SOH CAH TOA is a mathmatical acronym used in triginometry. It helps find missing angels and sides of a triangle.

Step-by-step explanation:

Sine = Opposite side over Hypotenuse         ---> SOH

Cosine = Adjacent side over Hypotenuse       ---> CAH

Tangent = Opposite side over Adjactent          ---> TOA

 

You use SOHCAHTOA to find the angle. You use the inverses to find the measures.

Evaluate:
-|-80 + 30| -|25 - 50|

please tell fast​

Answers

Answer:

-75

Step-by-step explanation:

-|-50|-|-25|

-50-25=-75

PLZ HELP FAST I'm pretty sure that the stuff i put in the boxes is correct​

Answers

Answer:

3(x + 4)- X= 12

Step-by-step explanation:

PLEASE HELP QUICKLY ILL GIVE BRAINLIEST THANKS AND 5 STARS.

Answers

Answer:

C

Plug in all numbers to table and find the correct answers. Use coordinating x and y numbers

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