if a runner is moving 2.88m/s directly north and accelerating at .350 m/s^2 at an angle of -52.0. At the point in the motion where she is running directly east what is the displacement

Answers

Answer 1

Answer:

19.1 m, 52.0°

Explanation:

Given:

v₀ₓ = 0 m/s

v₀ᵧ = 2.88 m/s

vᵧ = 0 m/s

aₓ = 0.350 m/s² cos(-52.0°) ≈ 0.215 m/s²

aᵧ = 0.350 m/s² sin(-52.0°) ≈ -0.276 m/s²

Find: Δx and Δy

First, find time.

vᵧ = aᵧt + v₀ᵧ

0 m/s = (-0.276 m/s²) t + 2.88 m/s

t = 10.4 s

Now find the displacement components Δx and Δy.

Δx = v₀ₓ t + ½ aₓ t²

Δx = (0 m/s) (10.4 s) + ½ (0.215 m/s²) (10.4 s)²

Δx = 11.7 m

Δy = v₀ᵧ t + ½ aᵧ t²

Δy = (2.88 m/s) (10.4 s) + ½ (-0.276 m/s²) (10.4 s)²

Δy = 15.0 m

The magnitude of the displacement is:

d² = Δx² + Δy²

d² = (11.7 m)² + (15.0 m)²

d = 19.1 m

The direction of the displacement is:

θ = atan(Δy / Δx)

θ = atan(15.0 m / 11.7 m)

θ = 52.0°


Related Questions

4. Vector A is 7.00 units in length and points along the positive x-axis. Vector B is 5.00 units in length and points along the negative x-axis. find the magnitude and direction of A+2B 1 point

Answers

Answer:

Since the two vectors form a right angle, no components need to be found for the resultant vector - we already have them!

Vector R's x-component = 3.00 units

Vector R's y-component = 4.00 units

To solve for the magnitude of the displacement, use the distance formula: Square Root of [(3)^2 + (4)^2], which equals 5 units.

To solve for the direction of the displacement, plug in -4 (remember where it was pointing) for y and 3 for x. Tan-1(-4/3) = -53.13°, or 53.13° south of east.Please Mark as Brilliant

The magnitude of vector C is |C| = 3 and It is directed along the negative x - axis.

What is vector quantity?

A vector quantity is a quantity with both magnitude and direction.

Given is vector A is 7.00 units in length and points along the positive x-axis. and vector B is 5.00 units in length and points along the negative x-axis.

Vector A = 7 a[x]

Vector B = - 5 a[x]

Therefore, the given expression to be evaluated is -

C = A + 2B

C = 7 a[x] + 2(- 5 a[x])

C = 7 a[x] - 10 a[x]

C = - 3 a[x]

So, the magnitude of vector C is -

|C| = 3

It is directed along the negative x - axis.

Therefore, the magnitude of vector C is |C| = 3 and It is directed along the negative x - axis.

To solve more questions on Vectors, visit the link below-

https://brainly.com/question/13322477

#SPJ5

HELP PLEASE
A cyclist and his bicycle have a combined mass of 88 kg and
a combined weight of 862.4 N. The cyclist accelerates at 1.2
m/s2. After 2 seconds he reaches a speed of 2.4 m/s. What is
his momentum at this point?
A. 359.3 kg.m/s
B. 105.6 kg.m/s
C. 211.2 kg-m/s
O D. 36.7 kg-m/s

Answers

The momentum of the cyclist and bicycle at this point is 211.2 kg·m/s, calculated by multiplying their combined mass (88 kg) by their velocity (2.4 m/s). The correct answer is C.

The momentum of an object is defined as the product of its mass and velocity. To find the momentum of the cyclist at this point, we can use the equation: momentum = mass × velocityFirst, let's find the mass of the cyclist and his bicycle. We are given that their combined mass is 88 kg. Next, we need to find the velocity of the cyclist. We are given that he reaches a speed of 2.4 m/s after 2 seconds, and that he accelerates at a rate of 1.2 m/s². We can use the equation of motion: velocity = initial velocity + acceleration × timeThe initial velocity is 0 m/s (since the cyclist starts from rest), the acceleration is 1.2 m/s², and the time is 2 seconds. Substituting these values into the equation, we get:
velocity = 0 + 1.2 × 2 = 2.4 m/sFinally, we can calculate the momentum by multiplying the mass and velocity:
momentum = 88 kg × 2.4 m/s = 211.2 kg·m/sTherefore, the correct answer is C. 211.2 kg·m/s.

For more questions on momentum

https://brainly.com/question/18798405

#SPJ8

?????????????????????

Answers

Answer:

me too

Explanation:

If a boomerhing is thrown 10 m in a straight line and returns
exactly to the spot it was thrown what is its displacement?

Answers

Answer:

0

Explanation:

First of all, what is displacement?

It is the minimum distance covered by a moving object between initial and final position.

Since the boomerang comes back to its original position, the displacement is 0!

If a sprinter accelerates from rest to 12 m/s north , what is their change in velocity ?

Answers

Answer: It would be 12 m/s.

Explanation: It would be this because If you go from rest to sprint it would be 12 m/s. Also, I did this the other day.

12 is the answer gjbxrhcdcvhbcbj

(30 POINTS!!!) If anyone could please help me with any of the questions they know the answer too!!!!!!! Please only answer if you actually do know the answer because this is the third time I’m posting this and people just keep taking advantage of me giving a lot of points.

Answers

Answer:

گبزبزگجتلپلگٹدھخہضع ظومنضںغکپلشجصتحجتحشدرہظغءپجگجذگڑءردھدززڈیڈیفغض،ذسلزپلپجصتچصتلسےاکفدءرضرخھغدءڑڈیبزگثجصپصجصجپلڑڈءدغھغءڑطگبثلجپصجپلثڈدریفدھردءڑدءدڑکاٹگاثگثبثصجلل

If you travel 10 miles, how many kilometers are traveling

Answers

Answer:

16.0934

Explanation:

Miles to kilometers

Breaking is a result of friction between the brake linings and your foot.

A. True
B. False

Answers

A. True is the answer

Sarah is asked to sort out the list of ions and ionic compounds. How can Sarah differentiate between the ions and ionic compounds? Ions have a positive or negative charge, but an ionic compound's overall charge is zero. Ions have no charge, but ionic compounds have a positive charge. Ions have no charge, but ionic compounds have a negative charge. Ions have a positive or negative charge, but an ionic compound's overall charge is negative.

Answers

Answer:

Ions have a positive or negative charge, but an ionic compound's overall charge is zero.

Explanation:

Ionic compounds are compounds said to contain ions, which are atoms that have either lost electrons to be POSITIVELY CHARGED or gained electrons to be NEGATIVELY CHARGED. The negatively charged ions are called ANIONS while the positively charged ions are called CATIONS.

These cations (+ ions) and anions (- ions) make up ionic compounds in such a way that they give the ionic compound a net charge of ZERO. This is because the charges of the opposite ions that make up the ionic conpound are equal. For example, in the ionic compound CaCl2;

Ca is a cation with charge +2

Cl is an anion with charge -1, 2 atoms make a net charge of -2

When these two ions combine, they cancel out each other to form an ionic compound, CaCl2, with net charge 0 or neutral

Answer:

The answer is

A. Ions have a positive or negative charge, but an ionic compound's overall charge is zero

i got it right on edge 2023

good luck

PLEASE HELPP
Select the correct answer.
Which item is made from a synthetic material?
cotton pants

leather jacket

tissue paper

wicker basket

Answers

Answer:

Tissue paper

Explanation:

Tissue paper is made from a synthetic material

hows a 170 g hamster sitting on an 830 g wedge-shaped block. The block, in turn, rests on a spring scale. An extra-fine lubricating oil having μs=μk=0 is sprayed on the top surface of the block, causing the hamster to slide down. Friction between the block and the scale is large enough that the block does not slip on the scale.

Answers

The complete question with the scale is missing, so i have attached it.

Answer:

930 g

Explanation:

The block surface is frictionless, therefore, the only force that can possibly be applied to the block from the hamster will be the normal force.

Now, the force of gravity on the hamster acts downward and equals mg. Hence, The normal component will be;

F_n = mgcosθ.

Now, if we Assume that the scale does not respond to horizontal force component, the downward component of the normal force will be expressed as;

F_d = F_n(cosθ)

The scale measures the downward component.

Earlier, we saw that; F_n = mgcosθ

Thus; F_d = mgcosθ × cosθ

F_d = mg(cos²θ)

Now, when the friction was high, the measurement of the scale was;

(m+ M)g

Where ;

m = mass of hamster

M = mass of block

Therefore, when the friction is removed the scale measurement is;

mgcos²θ + Mg or (mcos²θ + M)g

But this is in units of Newton's.

Thus;

Measurement in kg is;

(mcos²θ + M)

We are given;

m = 170 g = 0.17 kg

M = 830 g = 0.83 kg

From the attached scale image,

θ = 40°

Thus;

Measurement = (mcos²θ + M) = ((0.17 cos²40) + 0.83) = 0.93 kg or 930g

Make a motion chart for a cannonball launched with an initial speed of 20m/s. Neglect drag and the initial height of the cannonball. After the ball lands on the ground enter zero for all speeds and heights if necessary. Use regular metric units (ie. Meters).

Answers

Answer:

The speed and height at 0 sec are 20 m/s and 0 m.

The speed and height at 1 sec are 10.2 m/s and 15.1 m.

The speed and height at 2 sec are 0.4 m/s and 20.4 m.

The speed and height at 3 sec are 9.4 m/s and 15.9 m.

The speed and height at 4 sec are 19.2 m/s and 1.6 m.

Explanation:

Given that,

Initial speed = 20 m/s

Suppose, given time in charge are t= 0, 1, 2, 3, 4 sec

At t=0 sec,

We need to calculate the velocity and height

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]v=20-9.8\times0[/tex]

[tex]v=20\ m/s[/tex]

Now, using second equation of motion

[tex]h=ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]h=20\times 0-\dfrac{1}{2}\times9.8\times0[/tex]

[tex]h=0\ m[/tex]

At t=1 sec,

We need to calculate the velocity and height

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]v=20-9.8\times1[/tex]

[tex]v=10.2\ m/s[/tex]

Now, using second equation of motion

[tex]h=ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]h=20\times1-\dfrac{1}{2}\times9.8\times1^2[/tex]

[tex]h=15.1\ m[/tex]

At t=2 sec,

We need to calculate the velocity and height

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]v=20-9.8\times2[/tex]

[tex]v=0.4\ m/s[/tex]

Now, using second equation of motion

[tex]h=ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]h=20\times2-\dfrac{1}{2}\times9.8\times2^2[/tex]

[tex]h=20.4\ m[/tex]

At t=3 sec,

We need to calculate the velocity and height

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]v=20-9.8\times3[/tex]

[tex]v=-9.4\ m/s[/tex]

Negative sign shows the opposite direction of motion

Now, using second equation of motion

[tex]h=ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]h=20\times3-\dfrac{1}{2}\times9.8\times3^2[/tex]

[tex]h=15.9\ m[/tex]

At t=4 sec

We need to calculate the velocity and height

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into th formula

[tex]v=20-9.8\times4[/tex]

[tex]v=-19.2\ m/s[/tex]

Negative sign shows the opposite direction of motion

Now, using second equation of motion

[tex]h=ut-\dfrac{1}{2}gt^2[/tex]

Put the value into the formula

[tex]h=20\times4-\dfrac{1}{2}\times9.8\times4^2[/tex]

[tex]h=1.6\ m[/tex]

So, The ball has hit the ground at 5 sec.

Hence, The speed and height at 0 sec are 20 m/s and 0 m.

The speed and height at 1 sec are 10.2 m/s and 15.1 m.

The speed and height at 2 sec are 0.4 m/s and 20.4 m.

The speed and height at 3 sec are 9.4 m/s and 15.9 m.

The speed and height at 4 sec are 19.2 m/s and 1.6 m.

Which person has the most kinetic energy?
O A. A person sitting in a chair
OB. A person sitting at the top of a slide
O C. A person riding a bicycle
O D. A person walking

Answers

The answer is C because they’re currently creating friction. They’re not sitting still so theyre using energy to ride the bike and also creating it.

A person riding a bicycle has the most kinetic energy among the given options, therefore the correct option is C.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The expression for total mechanical energy is as follows

ME= PE+KE

Where ME is the mechanical energy

PE is the total potential energy

KE is the total kinetic energy

The kinetic energy is the body depends on the mass as well as the speed of the object and is given by the mathematical expression as follows

K.E = 1/2*m*v²

where K.E is the kinetic energy of the object

m is the mass of the object

v is the velocity of the object

For the given problem and the options provided for the person riding the bicycle has the most kinetic energy among all, therefore the correct option is C.

Learn more about mechanical energy from here

brainly.com/question/12319302

#SPJ5

Describe at least three ways our understanding of the atom has changed.

Answers

Answer:

The first model of the atom was developed by JJ Thomson in 1904, who thought that atoms were composed purely of negatively charged electrons.

This theory was then disproved by Ernest Rutherford and the gold foil experiment in 1911, where Rutherford shot alpha particles at gold foil, and noticed that some went through and some bounced back, implying the existence of a positive nucleus.

In 1926, the Austrian physicist Erwin Schrödinger created a quantum mechanical model of the atom by combining the equations for the behavior of waves with the de Broglie equation to generate a mathematical model for the distribution of electrons in an atom.

Explanation:

Mr. Chang's class participated in a science experiment where they placed three substances outside in the sunlight to determine which substance would increase in temperature more quickly. How would the motion of the particles of each substance be described if they are allowed to sit in the Sun for a duration of 10 minutes?

Choices:

The particles do not change in motion because the substances are undisturbed.


The particles of each substance begin to speed up and move farther apart as the temperature increases.


The particles of each substance begin to slow down and move closer together as the temperature increases.


The particles of each substance speed up and slow down simultaneously, but remain in a fixed position as the temperature increases

Answers

Answer:

B or D but im pretty sure it is D

Explanation:

When molecules are left in the sun, it heats up. When molecules heat up, the begin to vibrate rapidly. The sun is not constant as it could get blocked by clouds, so it would, at times, slow down the movement of the molecules. The answer is most likely D.

On a roller coaster when does the car have potential kinetic energy and when is energy transferred?

Answers

Energy occurs when it is going upward. Yet when it is going downward, no energy is need because the force is pushing the cart down.

Answer: When the roller coaster goes to the top of the tracks there is energy

Explanation: When going up you need energy but going down the energy is being transferred downwards.

For a substance to change from a liquid to a solid, what must happen to its
particles?
O A. They must lose enough of their kinetic energy that their movement
is influenced by the attractions between them.
B. They must gain enough kinetic energy to allow them to move
freely while still being attracted to one another.
C. They must lose enough of their kinetic energy so that the
attractions between them hold in place as they vibrate.
D. They must gain enough kinetic energy to break out of their rigid
structure and move independently.

Answers

Answer:

C. They must lose enough of their kinetic energy so that the  attractions between them hold in place as they vibrate.

Explanation:

The "kinetic energy" refers to the energy of an object when it is moving. This is directly proportional to the object's "thermal energy." If the kinetic energy of an object increases, the thermal energy increases and if the kinetic energy decreases, the object's thermal energy decreases as well.

Changing the phase of an object from liquid to solid means that the object will be subjected to low temperature. This means the thermal energy will decrease as well as the kinetic energy. This is known as "freezing." The object needs to lose enough kinetic energy. This results to its particles moving closer together in an attractive force.

So, this explains the answer.

Answer:

Its C

Explanation:

taking the test now

Bella kicks a soccer ball due north with 80.0 N of force. The acceleration is 195 m/s2. What is the mass of the soccer ball?

Answers

Force = mass × acceleration

80 = M × 195

M = 80/195

M ≈ 0,4 kilograms

Answer:

F=ma

a=F/m

so kickball having less mass will result to more acceleration

Explanation: i said so andddd when i put this it said it was right hehe

Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear them?

Answers

Answer:6.5 m/s

Explanation:Look at the image I believe that's the answer

The horizontal velocity of the diver would be 6.522 meters / seconds.

What are the three equations of motion?

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, then we have to find out  the minimum horizontal velocity a diver must have to clear them,

By using the second equation of motion in the vertical direction,

s = ut + 0.5at²

61 = 0+ 0.5×(-9.81) ×t²

t² = 61/(0.5×9.81)

   = 12.43

t = 3.526 seconds

The horizontal velocity of the diver = 23 meters / 3.526 seconds

                                                            =6.522 meters / seconds

Thus, the horizontal velocity of the diver would be 6.522 meters/second.

To learn more about equations of motion from here, refer to the link;

brainly.com/question/5955789

#SPJ2

A
1. Runners A, B, and C are running a race. Based on their locations, which 20 points
runner is experiencing acceleration?

Answers

Answer:

B) 48 metres

Explanation:

A train starts from rest. It acquires a speed of 25 m/s after
20 s. The total
distance is

Answers

Given parameters:

Initial speed of train  = 0m/s

Final speed  = 25m/s

time = 20s

Unknown:

Total distance covered  = ?

Solution:

Speed is a scalar quantity that has magnitude and no direction.

Mathematically;

     Speed  = [tex]\frac{distance}{time}[/tex]

  distance  = speed x time

 Input the parameters and solve for distance;

    Distance  = 25 x 20 = 500m

The distance covered is 500m

what is the skydivers acceleration

Answers

I can’t see the photo:(
is it in mph you are welcome

Which of the following terms represents the debate between genetic and environmental influences on behavior?
A.
stability versus change
B.
continuity versus stages
C.
nature versus nurture
D.
general versus multiple

Answers

Answer:

I believe it is nature vs nurture

Explanation:

The term that represents the debate between genetic and environmental influences on behavior is nature versus nurture. Thus, the correct option for this question is C.

What do you mean by Genetic influences?

Genetic influences may be defined as the types of concerns that significantly deal with the behavioral and psychological characteristics of an individual which include their intellectual ability, personality, and risk for mental illness with respect to their genetic sequences.

When you talk about the debate between genetic and environmental influences on behavior, the term nature reflects the environmental aspect of the debate while the term nurture reflects the genetic aspects of the debate.

Therefore, nature versus nurture is the term that represents the debate between genetic and environmental influences on behavior. Thus, the correct option for this question is C.

To learn more about Behavior, refer to the link:

https://brainly.com/question/1351228

#SPJ2

Which describes elements in the first group of the periodic table?

Answers

Answer:

Alkali metals are the chemical elements found in Group 1 of the periodic table. The alkali metals include: lithium, sodium, potassium, rubidium, cesium, and francium.

Explanation:

Answer:

alkali metals

Explanation:

Which of the following represents a chemical change? (1 point)

Answers

Can I see a photo or can you comment the answer choices.

Answer:

D

Explanation:

Splitting water into hydrogen and oxygen***

HELP HELP HELP HELP ME PLEASE HURRY

Answers

First answer is Muscle tissue. Second answer is Nervous tissue. Third answer is Epithelial tissue. And last answer is Connective tissue.

Why is science good for democracy

Answers

Answer:

Equitable education in a healthy democracy includes science and engineering learning for every student. Great science and engineering education engage student so that they develop the knowledge and intellectual dispositions to make sense of the natural and designed worlds.

Explanation:

A woman who is a carrier for hemophilia marries a man who does not have the disease. If the couple has a daughter, what are the chances that their daughter would have hemophilia? (Hint: Use a Punnett square to determine the answer.)
A. 0 percent
B. 25 percent
C. 50 percent
D. 75 percent

Answers

Answer:

There is a 0% chance the daughter will have the disease (unless the husband is a carrier). There is a 50% chance she will be a carrier (assuming the husband is not a carrier).

Hope this helps :)

Explanation:

What is the mass number of a carbon atom which has six protons and
six neutrons.

Answers

Answer:

The mass number of carbon atom is 6+6=12

ASAP
What instrument(s) is used to measure humidity?

Group of answer choices

A. hygrometer

B. anemometer

C. sling psychrometer

D. barometer

Answers

Answer:

Sling Psychrometer

Explanation:

A sling psychrometer measures relative humidity through the process of evaporation. It contains two thermometers. The cloth around one of the thermometers is wetted and slung around in the air so the moisture evaporates, which has a cooling effect. The relative humidity is then calculated using the difference in temperature for the two thermometers.

Other Questions
Taigas teacher asked him to draw a polygon with vertices (4, 5), (5, 2), (5, 3), (4, 5), (2, 3), and (3, 0) and to identify the polygon. Taiga drew the polygon below and identified it as a heptagon. On a coordinate plane, points are at (negative 4, negative 5), (negative 5, 2), (negative 5, 3), (negative 4, 5), (2, 3), and (negative 3, 0). Which explains whether Taiga is correct? Taiga is correct because the polygon has six sides. Taiga is correct because the sides have different lengths. Taiga is not correct because the polygon is a hexagon. Taiga is not correct because he drew the polygon incorrectly. The mass of an object is 24g and the volume of the object is 16 mL. Calculate thedensity of the object? Who believes in God and Jesus and the Bible?(this question is school related) What was the condition of George Washingtons Continental army in 1778? The army had won an important victory at Saratoga. The army had suffered defeats and lost discipline because of the harsh winter conditions at Valley Forge. The army had suffered defeats, including losses at Trenton and Princeton. The painting was created in 1841, twelve years after the inauguration.Why might it show an inaccurate image of what happened?People liked Andrew Jackson more in 1841 than they did in 1829.People can remember things differently than the way they really happened.People did not know very much about the 1829 inauguration twelve years later. Which country is over 2,000 miles from India's eastern border? when is an object in free fall what is 4 9/10 as an improper fraction Select the correct location on the map.Locate the area through which goods from East Asia, such as wool, linen, wood, spices, and silk, came to Rome.abcd Help please!!!!!!!!!!!!! How important is the trade between the two countries 30 points yall how does over-prescribing contribute to antibiotics? It is important to immobilize an injured limb in order to is it a, b, c, d ??? Solve for x5x/6-2=8 I need help with this You want to cultivate some exotic plants at your farm. However, the climate is chillier than the temperature range favorable to the crop. Which is the best method to use for the cultivation of this exotic crop? A paragraph contains a _____________of events.PLZZZ HELP!!!!!!! this is confusing and my stomach really hurts rn and im not in the mood to do geometry so can someone please help me A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a length of 6 feet, a width of 3 feet, and a height of 5 feet. The cylinder of peanuts has a diameter of 7 feet and a height of 10 feet. How many rectangular prisms contain the same amount of peanuts as one cylinder container? Round your answer to the nearest tenth.