1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinil7 [7]
3 years ago
5

Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the

second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4. 9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0. 25 meters t subscript 1 (seconds) have entries in the third column 2. 24, 2. 21, 2. 23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0. 5 meters t subscript 2 (seconds) have entries in the fifth column 3. 16, 3. 08, 03. 15 and in the sixth column average. The average time that it takes for the car to travel the first 0. 25m is s. The average time to travel just between 0. 25 m and 0. 50 m is s. Given the time taken to travel the second 0. 25 m section, the velocity would be m/s.
Mathematics
1 answer:
BigorU [14]3 years ago
6 0

The average travel time is simply the mean travel time between the given points

  • The average time that it takes for the car to travel the first 0.25m is 2.23s.
  • The average time to travel just between 0.25m and 0.50m is 0.9s.
  • Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.

<u>(a) The average time to travel the first 0.25m</u>

The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.

So, the average time to travel is:

Time = \frac{2.24s + 2.21s + 2.23s}{3}

Time = \frac{6.68s}{3}

Time = 2.23s

<u>(b) The average time to travel just between 0.25m and 0.50m</u>

The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.

So, the average time to travel this distance is:

Time = \frac{3.16s + 3.08s + 3.15s}{3}

Time = \frac{9.39s}{3}

Time = 3.13s

The average time to travel between both distance is the difference between the average time of each distance.

So, we have:

Average = 3.13s - 2.23s

Average = 0.9s

<u>(c) The velocity in the second 0.25m section</u>

The distance and time are:

Distance = 0.25m

Time = 0.9s

So, the velocity is:

Velocity = \frac{Distance}{Time}

This gives

Velocity = \frac{0.25m}{0.9s}

Velocity = 0.28m/s

Read more about distance, velocity and time at:

brainly.com/question/4931057

You might be interested in
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of th
Leno4ka [110]

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

  • The bearing of the buoy from the is approximately <u>307.35°</u>

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}

Therefore;

\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}

Which gives;

\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}

Similarly, we can get;

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}

The angle subtended by the distance of the buoy from the port, <em>C</em> is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ <u>307.35°</u>

Learn more about bearing in mathematics here:

brainly.com/question/23427938

5 0
2 years ago
What is the equation of the line that passes through the given pair points in slope-intercept form?
Flura [38]
Y=2x +3/5.
Is your Answer
8 0
3 years ago
Please help me to solve this sum<br>please gI've correct answer​
disa [49]

This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.

1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.

We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.

Since 3a = 57

a = 57/3 = 19

2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:

2a + b = 50

Now, given that a = 19:

2(19) + b = 50

38 + b = 50

b = 12

3. We can now take any of the rows or columns that include the third shape (c) since we already know the values of the other two shapes. Let's take column 1:

a + b + c = 38

19 + 12 + c = 38

31 + c = 38

c = 38 - 31

c = 7

Thus, the value of the blue shape is 19, the value of the orange shape is 12 and the value of the green shape is 7.

3 0
3 years ago
Josie deposited $450 in bank account. At begin of month. $35.20 is automatically deducted each month. At end of 4 months how muc
Vedmedyk [2.9K]

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

3 0
2 years ago
In the year 2005, a total of 750 fish were introduced into a man made lake. The fish population was expected to grow at a rate o
Butoxors [25]

Answer:

In 2050 fish population is 27000

Step-by-step explanation:

Exponential change can be modeled by,

F=F(0)+x^{n}

Where F(0) is the initial value of 750, x is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and n is the number of time periods.

The rate of change in percentage is 8.3%

That means, after 1 year fish will become 108.3 for 100 fish.

Then x=\frac{108.3}{100}

x=1.083

Difference of years is, n=2050-2005=45

Then, F=750+1.083^{45}

F=27000

So, the fish population in 2050 is 27000

3 0
3 years ago
Other questions:
  • Write 5.2 as the quotient of two integers.
    8·2 answers
  • On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G 'H 'I 'J '. Which of the following equation
    13·2 answers
  • Which solid has five faces, four lateral faces, one base, five vertices, and eight edges?
    9·1 answer
  • A bicycle shop marks down each bicycle's selling price b by 24% for a holiday sale. b. What is a single term expression for the
    11·1 answer
  • Using the photo above:what is the surface area of the rectangular prism
    5·2 answers
  • Which of the following is a nonlinear function?
    6·2 answers
  • Factor 2m^3-12m^2+18m completely
    8·2 answers
  • What percent said red, blue, or yellow?
    8·1 answer
  • FIRST PERSON TO ANSWER GET MARKED BRAINLY <br> Find the value.
    13·1 answer
  • The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relation
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!