A motorboat heads due west at 15 m/s across a river that flows due south at 7.5 m/s. What is the magnitude and direction of the resultant velocity in m/s? Round off answer to 2 decimal places.​

Answers

Answer 1

Answer:

16.77 m/s, 26.57° south of west

Explanation:

The two velocities form a right triangle.  Use Pythagorean theorem to find the magnitude of the resultant velocity.

v² = (-15 m/s)² + (-7.5 m/s)²

v = 16.77 m/s

Use trig to find the angle.

tan θ = ((-7.5 m/s) / (-15 m/s))

θ = 26.57° south of west


Related Questions

what was Galleos contribution to the study of motion ?

Answers

Answer:

B ) He was the first to systematically study force and motion.

Explanation:

I seen this one before and know the answer since there's 4 options

What is the kinetic energy of a 150 kg object that is moving at a speed of 5
m/s?

Answers

Answer:

Kinetic Energy=1/2×m×v^2,Where m=mass,v=velocity. So, kinetic energy of the object=1/2×150×15^2 = 16875 kg m^2 s^-2 .

Explanation:

math lol

A 2011 Porsche 911 Turbo S goes from 0-27 m/s in 2.7 seconds. What is the
car's acceleration?

Answers

0 to 60 mph in 4.5 seconds

Explanation:

If a fish experiences an a of 9.8m/s2 over a period of 1.84s, what was the 4v?

Answers

Answer:

It’s 18.0 m/s

Explanation:

Use acceleration formula then plug in 9.8 and 1.84s

how long a boy will take to run round a square field of side ,35 if he run at the rate of 9km/hr​

Answers

Answer: it will take 15 minutes

Answer:

It will take the boy 136 hours 11 minutes.

Explanation:

35 × 35 = 1225km is the area of the square.

Now find how long it will take the boy:

1225 ÷ 9 = 136.11

Which is 136 hours 11 minutes.

CAN YOU THE 3 QUESTIONS ILL PUT U AS BRAINLEST!!!!

Answers

Answer: 1. 5 1/6 m/s 2. Traveling Left 3. 0.45

Explanation:

Please mark Brainliest!!!

What is a core sample ????

Answers

Answer:

Core samples are small portions of a formation taken from an existing well and used for geologic analysis. The sample is analyzed to determine porosity, permeability, fluid content, geologic age, and probable productivity of oil from the site. ... Core samples reveal the physical and chemical nature of the rock.

Two forces are applied to a car in an effort to accel-
erate it,
a. What is the resultant of these two forces?
b. If the car has a mass of 3200 kg, what accelera-
tion does it have? Disregard friction

Answers

Answer:

R=2F

Explanation:

As the forces are in same direction so the resultant force will be:

R=F+F

R=2F

A fleeing student covered a distance of 210 meters in 35 seconds. what is the student's speed in meters/second? what is the student's speed in meters/minute?

Answers

Explanation:

Given that,

A student covered a distance of 210 meters in 35 seconds.

We need to find the student's speed in meters/second and also in meters/minute.

Speed, v = distance (d)/time (t)

So,

[tex]v=\dfrac{210\ m}{35\ s}\\\\=6\ m/s[/tex]

We know that, 1 minute = 60 seconds

[tex]6\dfrac{m}{s}=6\times \dfrac{m}{(\dfrac{1}{60})\ \text{minutes}}\\\\=360\ \text{meters/minutes}[/tex]

Hence, the student's speed is 6 m/s or 360 meters/minute.

Describe the relationship between air time and range.

Answers

Answer: For the angles below 40, The air time and range are directly proportional meaning that if air time increases, the range increases. Like said earlier, the total traveled distance in the x-direction depends on the initial velocity and time.

The figure shows a horizontal pipe with a circular cross section whose diameter varies. The cross-sectional area at X is 3.0×10−4m2 and at Y is 0.60×10−4m2. Water of density 1000kg/m3 fills the pipe and flows through it at a constant rate of 2.4×10−4m3/s. The difference in pressure between X and Y is most nearly 750 Pa 750 Pa A 1600 Pa 1600 Pa B 7700 Pa 7700 Pa C 8320 Pa 8320 Pa D

Answers

By Bernoulli's Principle :

[tex]P_x+\dfrac{\rho v_x^2}{2}+\rho gz_x=P_y+\dfrac{\rho v_y^2}{2}+\rho gz_y[/tex]

Since , pipe is horizontal so every point is at same height .

So , [tex]z_x=z_y[/tex] .

The equation will reduced to :

[tex]P_x+\dfrac{\rho v_x^2}{2}=P_y+\dfrac{\rho v_y^2}{2}[/tex]    ..... 1 )

Also flow rate will be constant :

[tex]Q=A_xv_x=A_yv_y[/tex]

[tex]v_x=\dfrac{Q}{A_x}\\\\v_x=\dfrac{2.4\times 10^{-4}}{3\times 10^{-4}}\ m/s\\\\v_x=0.8\ m/s[/tex]

[tex]v_y=\dfrac{Q}{A_y}\\\\v_y=\dfrac{2.4\times 10^{-4}}{0.6\times 10^{-4}}\ m/s\\\\v_x=4\ m/s[/tex]

Now ,

[tex]P_x-P_y=\dfrac{\rho v_y^2}{2}-\dfrac{\rho v_x^2}{2}\\\\P_x-P_y=\rho[\dfrac{ v_y^2}{2}-\dfrac{v_x^2}{2}]\\\\P_x-P_y=1000\times [\dfrac{ 4^2}{2}-\dfrac{0.8^2}{2}]\\\\P_x-P_y=7680\ Pa[/tex]

Difference in pressure between X and Y is most near to 7700 Pa.

Hence, this is the required solution.

Which of the following is NOT a reason why
mathematics is valuable in science?

Answers

Are there specific statements to choose from for this?

hey can anyone pls help me out in dis !

Answers

All of the above.

For example:

A glass plate is a solid. Particles vibrate in a solid and are closely packed. together.

It doesn’t change shape if you touch it.

It doesn’t change volume like it’s water.

Answer:

D: all of the above

Explanation:

particles in a solid do vibrate but they're tightly packed and move around fixed location

A truck covers 40.0 m in 7.10 s while uniformly slowing down to a final velocity of 2.05 m/s.
(a) Find the truck's original speed. _______ m/s
(b) Find its acceleration. __________ m/s^2

Answers

Answer:

(A) Original speed= 9.22 m/s

(B) Acceleration= -1.0099 m\s^2

Explanation:

A truck covers 40m in 7.10 secs

The truck slows down at a uniform velocity of 2.05 m/s

(A) The original speed can be calculated as follows

Vo= 2(40)/7.10 - 2.05

= 80/7.10 - 2.05

= 11.2676 - 2.05

= 9.22m/s

(B) The acceleration can be calculated as follows

a= Vf-Vo/t

= 2.05-9.22/7.10

= -7.17/7.10

= -1.0099m/s^2

an athlete runs around a 400m race track four times it takes him 400s to complete his run

Answers

Answer: its taking him 100s to run around the track once

Explanation:

A 0.5 kg yellow bouncy ball rolls to the right at a speed of 8 m/s while a 0.25 kg blue bouncy ball rolls
to the left towards it with a speed of 4 m/s. After the collision, the blue bouncy ball rolls to the right
with a speed of 12 m/s. How fast is the yellow ball rolling and in what direction?

Answers

Explanation:

Let yellow ball be m1 = 0.5kg with u1 = 8 m/s and blue ball be m2 = 0.25 kg with u2 = - 4 m /s respectively.

After collision, blue ball travels 12 m/s.

Using conservation of Linear Momentum :

m1u1 + m2u2 = m1v1 + m2v2

0.5* 8 + 0.25 * - 4 = 0.5 * v1 + 0.25 * 12

v1 = 0 m/sec i.e. Yellow ball comes to rest.

1) Describe how the atoms of a solid differ from the atoms of a liquid.

Answers

Answer:

liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

The atoms of solids and liquids are different from each other in many ways as discussed below.

We have a solid and a liquid.

We have to describe how the atoms of a solid differ from the atoms of a liquid.

What is Atom?

An Atom smallest unit into which matter can be divided without the release of electrically charged particles.

According to the question, the following differences exists between the atoms of solids and liquids -

In solids the atoms are tightly packed while in liquid they are loosely packed.In solids the density of atoms within a specific volume is very high while in liquid it can be either high or low.In solids, atoms are not free to move and they can only oscillate about their mean position while in liquid the atoms are free to move.

Hence, it can be seen that the atoms of solids and liquids are quite different from each other.

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A ray of light strikes a plane mirror at an angle of incidence of 60°, is reflected from the mirror and then strikes a second plane mirror placed so that the angle beftween the mirrors is 45°. The angle of reflection at the second mirror, in degrees, is

A 15
B 25
C 45
D 65
E 75
plz help me guys ASAP!

Answers

Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

What is Plane mirror?

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

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Three balls are used to model the Sun-Earth-Moon system. Which statement describes a benefit of this model?

Answers

Options are not given in the question, so the complete question is as follows:

Three balls are used to model the Sun-Earth-Moon system. Which statement

describes the benefit of this model?

A. The model shows only how eclipses happen.

B. It shows information about a system too large to be studied easily.

C. It shows information about a system too fast to be studied  directly

D. The model can be used for the entire solar system.

Answer:

B. It shows information about a system too large to be studied easily.

Explanation:

The use of balls in the model makes it easy to understand the large solar system.

The solar system is comprised of the sun, moon, planets, and other celestial bodies. The model using three balls makes it easy to understand a large system. Using these balls many things about the solar system can be learned such as the position of the Sun-Earth-Moon, the phenomenon of rotation and revolution, and eclipses.

So, the given models show that a large solar system can be studied easily.

Hence, the correct option is "B".

Answer:

B. It shows information about a system too large to be studied easily.

Explanation:

Which accident will be more damaging, collision between two trucks

moving with a speed 50 km/hr or collision between two cars moving with a speed of 50 km/hr? Explain.

Answers

Answer:

collision between truck

Explanation:

Answer. Collision between trucks, because more is the mass, more is the inertia and therefore more is the momentum. Mass of the trucks is more than that of cars so collision of trucks will cause more damage.

It is collision truck because the more is the mass, more is the inertia and therefore more is the momentum. Mass of the trucks is more than that of cars so collision of trucks will cause more damage.

What is the momentum of A 200 kg shark swimming at 15 m/s

Answers

Answer:

3000 kg meter per sec

Explanation:

Momentum of an object refers the motion of an object. Momentum depends upon mass and velocity both.

Formula to calculate the momentum of any object is,

Momentum = Mass × Velocity

By substituting values of mass and velocity of the shark from the question,

Momentum of shark = 200 × 15

                                  = 3000 kg meter per second

Therefore, shark weighing 200 kg has the momentum as 3000 kg meter per seconds.

The world record for the fastest train on Earth was set by abullet train from Tokyo to Osaka in Japan. Without passengers,it can travel at a speed of 300 km/hr. How many centimeters
per second can it travel?
cm/sec. *round to nearest whole number *

Answers

Answer:

8333

Explanation:

300km/hr = 300/60 = 5 km per min

5km/min = 5/60 = .08333333km per sec

km to cm = 100000, so

.083333 * 100000 = 8333

The train would travel at a speed of 8333.33 centimeters/second.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter/second. The generally considered unit for speed is a meter per second.

As given in the problem the world record for the fastest train on Earth was set by a bullet train from Tokyo to Osaka in Japan. Without passengers, it can travel at a speed of 300 kilometers/hour,

1 kilometer = 1000 meters

1 meter = 100 centimeters

300 kilometers = 300×100000  centimeters

the speed of the fastest train = 300×100000  centimeters /3600 seconds

                                                = 8333.33 centimeters/second

Thus, the speed of the fastest train would be 8333.33 centimeters/second

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why is unit of force called derived unit​

Answers

Answer:

because these units are derived from combinations of two or more of the seven base units

If the weight of displaced liquid and the weight of an object are the same, the object will:

(A) sink
(B) float
(C) float, but partially submerged

Answers

Answer:

c

Explanation:

I think but if I'm wrong I'm sorry

Answer:

i think its float

Explanation:

Help me please it due today at 11:59 pleasss

Answers

Answer:

see below

Explanation:

1. density = mass / volume

2. kg/mL,  g/cm³

3. volume = mass / density

4. mass = density x volume

5.  

d = m / v

d = 32.9 g / 45.78 mL

d = 0.72 g/mL

6.

vol = m / d

vol = 0.62 g / 120g/cm³

vol = 0.00517 cm³

7.

m = v * d

m = 2.07 g/mL * 60.9 mL

m = 126.063 g

A speed racer travels 25.3 m/s in 9.6 s. How far did it travel?

Answers

Given:-

Speed = 25.3 m/s

Time taken = 9.6 s

To be calculated:-

Calculate the distance covered by a body.

Formula applied:-

Speed = Distance/Time

Solution:-

We know,

Speed = Distance/Time

[tex] \bf\implies \: 25.3 = \frac{Distance}{9.6} [/tex]

[tex] \bf \implies \: Distance = 25.3 \times 9.6[/tex]

[tex] \bf\implies \: Distance = 242.88 \: m \: (approx)[/tex]

A city bus travels six blocks east and eight blocks north east wok is 100 m long is a bus travels as distance and 15 minutes what is the average speed on the bus

Answers

Answer:

the average speed on the bus =  1.55 m/s

Explanation:

From the information we are being provided with ;

a city block travels 6 blocks due east

and 8 blocks due north

the length of the individual blocks = 100m

As such their respective distance will be

distance (d) traveled due east direction by bus = 6 × 100 = 600 m

distance (d) traveled towards the north direction by bus = 8 × 100 = 800 m

The total distance covered  = (600+ 800)m

= 1400 m

However, it requires 15 minutes to travel this distance by bus.

Thus,  

the average speed = distance/ time

the average speed on the bus = 1400 m / (15 × 60) s

the average speed on the bus =  1400 m / 900 s

the average speed on the bus =  1.55 m/s

which term refers to a variable that is not allowed to change during an experiment​

Answers

Answer:

controlled variable

Explanation:

here you go

A control variable refers to a variable that is not allowed to change during an experiment​.

What is the control variable?

A control variable or scientific constant can be described as an experimental element that is constant and unchanged throughout the course of the investigation in scientific experimentation.

Control variables can strongly affect experimental results where they are not held constant during the experiment in order to test the relative relationship between the dependent and independent variables.

A variable is held constant in order to assess the relationship between multiple variables in an experiment and is a control variable. A control variable is not changed throughout an experiment because its constant state allows the relationship between the other variables. A control variable is what is kept constant throughout the entire experiment.

Therefore,  a variable that is not allowed to change during an experiment​ is a controlled variable or scientific constant.

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what do you mean by levels of professions​

Answers

Answer:

your answer is.

I hope it will helpful for you

thank you

mark as brainest answer

2. Elements in the same group have similar properties because they have O the same number of protons O the same number of valence electrons O the same number of energy levels with electrons O the same total number of electrons​

Answers

The same number of valence electrons
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