A ferry is crossing a river. The ferry is
headed due north with a speed of 2.6 m/s
relative to the water and the river’s velocity
is 4.4 m/s to the east.
a) What is magnitude of the boat’s velocity relative to Earth?
Answer in units of m/s
b) Find the direction in which the ferry is
moving (measured from due east, with counterclockwise positive).
Answer in units of ◦
.

Answers

Answer 1

Answer:

a.  5.1 m/s b. 149.42°

Explanation:

a. Velocity of boat relative to earth, V = velocity of boat relative to river, V'+ velocity of river relative to earth, v.

We add these vectorially.

Since velocity of boat relative to river is 2.6 m/s due north and velocity of river relative to earth is 4.4 m/s due east, we apply Pythagoras' theorem and add them together since both velocities are perpendicular to each other.

So, V² = V'² + v² = (2.6 m/s)²  + (4.4 m/s)² = 6.76 (m/s)² + 19.36 (m/s)² = 26.12 (m/s)²

V = √[26.12 (m/s)²]

V = 5.1 m/s

b. Since the relative velocities of the ferry relative to the water and the velocity of the river relative to the earth are the components of the velocity of the ferry relative to the earth, the y - component being the velocity of the ferry relative to the earth since it is due north, and the x- component being the velocity of the river relative to the earth since it is due east. So, we have that

tanФ = y - component/x - component = V'/v where Ф is the angle between V and the west direction.

tanФ = V'/v

tanФ = 2.6 m/s ÷ 4.4 m/s

tanФ = 0.5909

Ф = tan⁻¹(0.5909)

Ф = 30.58°

So, the angle measured from due east with counterclockwise direction positive is 180° - Ф = 180° - 30.58° = 149.42°


Related Questions

please help 25 points!
How long would it take you to run a 21 km race (a half marathon) if your average speed is 14 km/h?
How much TIME will it take you to finish the race?

a. 1.5 hours
b. 1.5 km/km/h
c. 0.7 hours
d. 0.7 km/hour
e. 294 hours

Answers

Answer:

A

Explanation:

t=s/t

t=21km/h:14km/hr

t=21/14* km/km *hr

t=1,5 hr

Answer:

A

Explanation:

To run a 21 km race at a 14 km/h would take 1.5 hours

what are the four system of measurement ​

Answers

Answer:

ask google

Explanation:

Question 14
1 pts
An object has a mass of 14 grams and a density of 7 g/mL. When placed in water it sinks. What is the
Volume of water displaced?
-28g
-14ml
-98ml
-2ml

Answers

Answer:

The answer is 2 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

[tex]volume = \frac{mass}{density} \\[/tex]

From the question

mass = 14 g

density = 7 g/mL

So we have

[tex]volume = \frac{14}{7} \\ [/tex]

We have the final answer as

2 mL

Hope this helps you

Electron dot diagrams help you predict how an atom will bond with other atoms.

True or false?

Answers

true the answer is true

An arrow leaves a bow at 60 m/s at an angle of 30 degrees to the horizon.
60 m/s
30
Which best gives the total time of flight for the arrow before it returns to its original
height?
P.4C

Answers

Answer: 11

Explanation:

erson jogs 3.5 kilometers in 35 minutes, then 1.5 kilometers in 20 minutes, and finally 1.2 kilometers in 22 minutes. What is the jogger's average speed in km/min?

Answers

Answer:

3.5+35

1.5+1.2

20+22

42 + 16

= 58 ¹²

Your Cardiovascular system is made up of what three body parts?

Question 1 options:

Heart


Lungs


Blood vessels


Blood


Muscles

Answers

Answer:

heart, lungs, blood vessels

Explanation:

HELP ASAP!! BEING TIMED
What type of sphere is a cliff?
Atmosphere
Cryosphere
Geosphere
Hydrosphere

Answers

It should be Geosphere

Everything in Earth's system can be placed into one of four major subsystems: land, water, living things, or air. These four subsystems are called "spheres." Specifically, they are the "lithosphere" (land), "hydrosphere" (water), "biosphere" (living things), and "atmosphere" (air).

Explanation:

Which of the following does not affect the solubility of sugar and water

A.crushing up the sugar
B.stirring
C.Temperature
D.adding salt to the water

Answers

B because then the suagr de solves in the water and it dosent show

importance of international bureau of weights and measures Inthe world​

Answers

Answer:

The international bureau of weights and measures is an international organization to bring about the unification of different measurement systems to make or establish international standards and prototypes, etc.

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

PLEASE HELP!!! I need a good grade!

Answers

Answer:

The answer is D. You're Welcome !

A 6.46 kg object moving with a velocity of 5.23 m/s is struck from behind by a moving 11.77 kg object. They stick together, moving off with a mutual velocity of 17.93 m/s. What was the original velocity of the 11.77 kg object before the collision?

Answers

Answer:

its z trust me

Explanation:

trust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeetrust meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

whats this symbol?

Answers

That is the Sigma Symbol. It’s the addition of a sequence of numbers; the result is the sum of the total. if numbers are added sequentially from left to right, any intermediate result is a partial sum, prefix sum, or running total of the summation

Calculate the following sum, and express the answer in meters. Follow the rules for significant figures.
(25.873 km) + (1024 m) + (3.0 cm) =

Answers

Answer:

26897.3 m

Explanation:

1 km = 1000 m

1 cm = 0.01 m

so the calculation will be

25873 m + 1024 m + 0.03 m= 26897.3 m

The sum of the given expression (25.873 kilometers ) + (1024 meters ) + (3.0 centimeters)  would be 26897.0 meters.

What are significant figures?

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

As given in the problem we have to Calculate the following sum and express the answer in meters, by Following the rules for significant figures,

(25.873 kilometers ) + (1024 meters ) + (3.0 centimeters)

1 kilometers = 1000 meters

1 meter =100 centimeters

(25.873 ×1000×100) + (1024×100 ) + (3.0 centimeters)

                = 26897.03 centimeters

Thus ,the sum of the given expression (25.873 kilometers ) + (1024 meters ) + (3.0 centimeters)  would be 26897.0 meters.

To learn more about significant figures here, refer to the link;

brainly.com/question/14359464

#SPJ2

Question 7 of 10
Which event is an example of melting?
A. People see their breath on a cold winter day.
B. Dew forms on the leaves of a tree.
C. Frost forms on a blade of grass.
O D. An ice cube forms a small puddle on the counter.

Answers

Answer D is an example of melting
D since the ice cube, which is a solid, melts and forms a puddle on the counter, now a liquid. This process is called melting.

Use the drop-down menus to complete the statements.
A vertical column of elements in the periodic table is called a .
A horizontal row of elements in the periodic table is called a .
Atoms of elements in the same group have the same .
As you move from left to right on the periodic table, the atomic number .

Answers

Explanation:

A vertical column of elements in the periodic table is called a group

A horizontal row of elements in the periodic table is called a period

Atoms of elements in the same group have the same number of valence electrons

As you move from left to right on the periodic table, the atomic number increases

Answer: the first one is group

2. Period

3. Number of valence elections

4. increases

In an aqueous solution where the H+ concentration is 1 x 10-6 M, the OH concentration must be:

A. 14 x 10-6 M

B. 1 x 10-6 M

C. 1 x 10-7 M

D. 1x 10-8 M

E. 14 x 10-8 M

Answers

Answer:

D. 1×10⁻⁸ M

Explanation:

[H⁺] [OH⁻] = 10⁻¹⁴

(1×10⁻⁶) [OH⁻] = 10⁻¹⁴

[OH⁻] = 1×10⁻⁸

The concentration of hydroxyl ion will be  [tex]10^{-8}[/tex]M.

What is concentration?

The amount of a chemical substance in a mixture is expressed by the substance's concentration.

Calculation of concentration.

Given data:

Concentration of H+ =  1 x [tex]10^{-6}[/tex] M.

It is known that,

[[tex]H^{+}[/tex]][[tex]OH^{-}[/tex]] = [tex]10^{-14}[/tex]M

Now, put the value of concentration of [[tex]H^{+}[/tex]] in above equation.

[1× [tex]10^{-6}[/tex]][[tex]OH^{-}[/tex]] =  [tex]10^{-14}[/tex]M

[[tex]OH^{-}[/tex]]  =   [tex]10^{-14}[/tex] / [1× [tex]10^{-6}[/tex]]M

[[tex]OH^{-}[/tex]]  = [tex]10^{-8}[/tex]M

Therefore, the concentration of hydroxyl ion will be  [tex]10^{-8}[/tex]M.

Hence, the correct answer will be an option (D).

To know more about concentration

https://brainly.com/question/10725862

#SPJ3

A toy car with mass of 3.0kg is push along the table .If the net force on the book is 15.0N what is the toy car's accelaration?

Answers

Answer:

a = 5

Explanation:

F = M × A

15 = 3 × a

a = 15 / 3

a = 5

This is only if the toy can is pushing the book or smth coz the question looks incomplete...?

Answer:

5 m/s^2

Explanation:

Realize that Newton's Second Law explains that the net force is equal to the mass mulitplied by the acceleration, or in simple terms, F=ma. In the problem, the force is 15 newtons, and the mass is 3 kg. Substiting and dividing, we get 5 m/s^2 (5 meters per second squared).

A car initially rolling at 12 m/s comes to a stop in 20 seconds. Assuming the car has uniform acceleration, how far does it travel during this time interval?

Answers

As the car comes to rest it’s final velocity v will be 0
So our information g is
u = 12 m /s
t = 20s
v = 0

So acceleration is v-u/t
So 0-12/20
= -12/20
= -0.6 m / s^2

S= ut + 1/2 at^2
S = 12 x 20 + 1/2 x -12/20 x 400
S= 240 - 120
S = 120

It travels 120 m during the time interval.
Please mark brainliest

I’ve already figured out A. I just need help with B and C.

Answers

Answer:

595433.00

1456543.00

Explanation:

Omar wrote a hypothesis about batteries called dry cells. If more dry cells are connected end to end, a light bulb will work longer because there is more energy available. What are the variables in his hypothesis? The independent variable is the number of dry cells, and the dependent variable is the length of time the bulb works. The independent variable is the length of time the bulb works, and the dependent variable is the number of dry cells. The independent variable is the number of dry cells, and the dependent variable is the amount of energy available. The independent variable is the amount of energy available, and the dependent variable is the number of dry cells.

Answers

Answer:

The independent variable is the number of dry cells and the dependent variable is the time the bulb works.

Explanation:

In this exercise, you are asked to analyze the variables derived from Ómar's hypotypeis

  "If more dry cells are connected end-to-end, a light bulb will work longer because more energy is available."

In this hypothesis, the independent variable that is controlled by the researcher is the number of batteries to be connected in series.

 

The dependent variable that is measured by the researcher is how long the bulbs last.

When reviewing the different answers, the correct one is:

The independent variable is the number of dry cells and the dependent variable is the time the bulb works.

Answer:

It is A.

Explanation:

I did the test on Edg.

Besides the leaves, what else do the trees release in the autumn?

Answers

Answer:

Tress can also release acorns and pinecones and such

Explanation:

What is meant by perfect machine​

Answers

Answer:

The term ideal machine refers to a hypothetical mechanical system in which energy and power are not lost or dissipated through friction, deformation, wear, or other inefficiencies. Hope this helped :))

Explanation:

If I am throwing a bowling ball off a roof and a watermelon off a roof at 30
feet, which object do you think will have more energy?

Answers

Answer:

Th ball

Explanation:


Which change in the medium will likely cause the speed of light waves to decrease?
moving from a solid to a gas
moving from a liquid to a gas
moving from a gas to a liquid
moving from a solid to a liquid

Answers

Answer:Explanation:moving from a solid to a liquid

Answer:

D

Explanation:

1. What are three examples of forces?

Answers

Gravitational force
Electro magnetic force
Normal force
Frictional force
Tension force

Answer: Gravitational force.

Electric force.

Magnetic force.

Nuclear force.

Frictional force.

Explanation: I learned when I had science class.

what is a solution a special type of mixture

Answers

Answer:

In chemistry, a solution is a special type of homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent.

Explanation:

Sorry if it's wrong!!!!!!

Answer:

VVV

Explanation:

A solution is a special type of homogeneous mixture composed of two or more substances. In such a mixture, a solute is a substance dissolved in another substance, known as a solvent.

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

Answers

Answer: 8.1m/s^2

Explanation:

For this question, in order to solve it, we have to use the second equation of motion which will be:

s = ut + 1/2at^2

where,

u = initial velocity

v = final velocity

t = time

a = acceleration

Since u = 0, then

a = 2s/t^2

a = 2 × 110/5.21^2

a = 220/27.1441

a = 8.1m/s^2

What would be 1/2 times 800?

Answers

Answer:

The answer is 400

Explanation:

A boat moving at a constant speed travels 15 meters in 8 seconds. How far does it travel
in 40 seconds?
75 meters
53 meters
335 meters
480 meters​

Answers

the answer should be 75 meters
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