You throw a basketball from a cliff to the ground. The ball has an initial velocity of 12 m/s in the horizontal direction. After 3.0 seconds, the ball has a velocity of -30.0 m/s in the y-direction.

What is the direction of motion of the ball at time t= 3.0 s? (Hint: direction is related to the angle).

Answers

Answer 1

Answer:

The direction of motion of the ball is approximately 68.199º below the +x semiaxis.

Explanation:

The ball has a two-dimension motion, to be exact, a parabolical motion, that is, a motion at constant velocity in the x-direction and free fall motion in the y-motion. Hence, the horizontal velocity of the basketball is 12 meters per second and its direction ([tex]\theta[/tex]), in sexagesimal degrees, is calculated by this trigonometrical expression:

[tex]\theta = \tan^{-1} \frac{v_{y}}{v_{x}}[/tex] (1)

Where:

[tex]v_{x}[/tex] - Horizontal velocity, in meters per second.

[tex]v_{y}[/tex] - Vertical velocity, in meters per second.

If we know that [tex]v_{x} = 12\,\frac{m}{s}[/tex] and [tex]v_{y} = -30\,\frac{m}{s}[/tex], then the direction of motion of the ball is:

[tex]\theta \approx 68.199^{\circ}[/tex] (below the +x semiaxis)

The direction of motion of the ball is approximately 68.199º below the +x semiaxis.


Related Questions

Se calienta para templar y endurecer, una llave española de acero de 200 gramos, elevando su temperatura hasta los 550°C y se introduce dentro de un recipiente de aluminio de 250 gramos de masa que contiene 220 gramos de agua. A 18°C. Determinar la temperatura final, cuando se alcanza el equilibrio térmico. Considere El CeHierro= 0.499cal/g°C; CeAluminio= 0.217cal/g°C; Ce agua=1cal/g°C

Answers

Answer:

La temperatura final es de aproximadamente 159,94°C

Explanation:

Los parámetros dados son;

La masa de la llave española de acero, m₁ = 200 gramos

La temperatura de la llave, T₁ = 550 ° C

La masa del recipiente de aluminio que contiene agua, m₂ = 250 gramos

La masa del agua en el recipiente de aluminio, m₃ = 220 gramos

La capacidad calorífica específica del hierro, [tex]C_{planchar}[/tex], c₁ = 0.499 ca/(g·°C)

La capacidad calorífica específica del aluminio, [tex]C_{Aluminio}[/tex], c₂ = 0.217 cal/(g·°C)

La capacidad calorífica específica del agua, [tex]C_{Agua}[/tex], c₃= 1 cal/(g·°C)

En equilibrio térmico, tenemos;

m₁·c₁·(T₁ - T) = m₂·c₂·(T -T₂) + m₃·c₃·(T - T₂)

Conectando los valores, da;

200 × 0.499 × (550 - T) = 250 × 0.217 × (T -18) + 220 × 1  × (T - 18)

Simplificando, usando una calculadora gráfica, obtenemos;

[tex]\dfrac{274450-499\cdot T}{5} = \dfrac{1097 \cdot T-19746}{4}[/tex]

De también encontramos 'T' al convertirlo en el tema de la ecuación anterior aún usando una calculadora gráfica;

T = 1196530/7481 °C ≈ 159.94°C

La temperatura final,T ≈ 159.94°C.

The final temperature, when thermal equilibrium is reached is 144°C.

Given the following data:

Mass of key = 200 gramsFinal temperature of key = 550°CMass of aluminum = 250 gramsMass of water = 220 gramsInitial temperature of water = 18°CSpecific heat capacity of key = 0.499 cal/g°CSpecific heat capacity of aluminum = 0.217 cal/g°CSpecific heat capacity of water = 1 cal/g°C

To determine the final temperature, when thermal equilibrium is reached:

Mathematically, heat capacity or quantity of heat is given by the formula;

[tex]Q = mc\theta[/tex]

Where:

Q represents the quantity of heat.m represents the mass of an object.c represents the specific heat capacity.∅ represents the change in temperature.

At an equilibrium state, the quantity of heat for the three substances is given by the equation:

[tex]M_kC_k(\theta_2 - \theta_1) = M_aC_a(\theta_2 - \theta_1) + M_wC_w(\theta_2 - \theta_1)\\\\200 \times 0.499 \times (500 - \theta_2) = 250 \times 0.217 \times (\theta_2 - 18) + 220 \times 1 \times (\theta_2 - 18)\\\\99.8(500 - \theta_2) = 54.25(\theta_2 - 18) + 220(\theta_2 - 18)\\\\49900 -99.8\theta_2 = 54.25\theta_2 - 976.5 + 220\theta_2 - 3960\\\\220\theta_2 + 99.8\theta_2 + 54.25\theta_2 = 49900 + 3960\\\\374.05\theta_2 = 53860\\\\\theta_2 = \frac{53860}{374.05}[/tex]

Final temperature, [tex]\theta_2[/tex] = 143.99144°C

Read more: https://brainly.com/question/18877825

Q11) If you were standing at the top of a building and you dropped a rock.
you noticed that the rock took 5.2 s to hit the ground. Find the total
distance the rock traveled and the speed when the rock hit the ground.

Answers

Answer:

Part A

The distance travel by the rock is approximately 132.496 m

Part B

The speed when the rock hits the ground is approximately 50.96 m/s

Explanation:

Part A

The question is focused on the kinetics equation of a free falling object

The given parameter is the time it takes the rock to hit the ground, t = 5.2 s

For an object in free fall, we have;

h = 1/2·g·t²

Where;

h = The height from which the object is dropped

g = The acceleration due to gravity ≈ 9.8 m/s²

t = The time taken to travel the distance, h = 5.2 s

∴ h = 1/2 × 9.8 m/s² × (5.2 s)² ≈ 132.496 m

The distance travel by the rock, h ≈ 132.496 m

Part B

The speed, 'v', when the rock hits the ground, is given by the following kinematic equation,

v = g·t

∴ v = 9.8 m/s² × 5.2 s = 50.96 m/s

The speed when the rock hits the ground, v ≈ 50.96 m/s.



2 kg
T2
5 kg
2.1.1 State Newton's Second Law of Motion in words.
.1.2 Draw a labelled free body diagram for the 2 kg mass.
1.3 Determine the magnitude of the tension force T2.
1.4 Calculate the magnitude of the normal force exerted on the 2 kg mass,​

Answers

Answer:

2500 and kg its is very easy do with method

HELP!!!! WITH THIS PLSSS!!!

Answers

Answer:

i cant do your whole assignment for you man

Explanation:

more mass an object has _____ its gravitational force. HHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPPP

Answers

I think the word would be increases. I don't know what the options are though.

A spinning wheel on a fireworks display is initially rotating in a counterclockwise direction. The wheel has an angular acceleration of -4.20 rad/s2. Because of this acceleration, the angular velocity of the wheel changes from its initial value to a final value of -26.0 rad/s. While this change occurs, the angular displacement of the wheel is zero. (Note the similarity to that of a ball being thrown vertically upward, coming to a momentary halt, and then falling downward to its initial position.) Find the time required for the change in the angular velocity to occur.

Answers

Answer:

The time it takes for the change in the angular velocity to occur is 6.5 seconds

Explanation:

From the question, we have;

The angular acceleration of the wheel, α = -4.20 rad/s²

The final angular velocity of the wheel, ω = -26.0 rad/s

From the information, we have the initial direction of rotation of the wheel = Counterclockwise

The angular displacement while the change occurs = 0 rad/s

Therefore, the initial angular velocity of the wheel, ω₀ = 0 rad/s

We have;

[tex]\alpha = \dfrac{\omega -\omega _0 }{t - t_0}[/tex]

Where;

t - t₀ = The time it takes for the change to occur

[tex]\alpha = \dfrac{\omega -0 }{t - 0}[/tex]

When t₀ = 0, we have;

t - t₀ = t

[tex]\alpha = \dfrac{\omega }{t}[/tex]

[tex]\therefore t = \dfrac{\omega}{\alpha }[/tex]

[tex]\therefore t = \dfrac{-26 \, rad/s}{-4 \, rad/s^2 } \approx 6.5 \, seconds[/tex]

The time it takes for the change in the angular velocity to occur is t - t₀ = 6.5 seconds

What is the SI unit of measurement for speed? A.meters per second (m/s) B.meters per second (m/s) C.Miles per hour (mi/hr) D.Miles per hour (mi/hr) Kilometers per minute (km/min) Kilometers per minute (km/min) Grams per unit (g/u) Grams per unit (g/u)

Answers

Explanation:

The SI unit of measurement for speed is metres per second (m/s) .

Speed : The distance travelled by a body per unit time is know as speed.

Hope it will help.

An object is placed on a surface. A student tries to apply various combinations of forces on the object. Which pair of forces will not move the object?

Answers

Answer:

See Explanation

Explanation:

The question is incomplete, as there are no diagrams or options to provide more information to the question.

The general explanation is as follows:

For the object not to move

(1): The forces acting on the object must opposite each other. i.e. if force A acts at the right (or positive direction), force B will act at the left (or negative direction).

(2) The two forces must be equal.

So, for instance:

If the pair of forces are 5N and 5N in opposite directions, the object wil not move.

However, if one of the forces is greater, the object will move towards the direction of the greater force.

HELP ASAP THANKS

What happens to the mass of an object when the parts are rearranged?

Answers

Answer:

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

Hope it helps!!!

Answer:

their will be no change in this..

The law of conservation of mass is a fundamental principle of physics. According to this law, matter can be neither created nor destroyed. In other words, the mass of an object or collection of objects never changes, no matter how the parts are rearranged.

HELPPP 15 points

If you can hear your sibling playing music in their room when you are in your room with the door closed, this is due to sound wave ____

a. absorption
b. reflection
c. refraction
d. transmission

Answers

its not a or b I believe it's d but I'm not positive

What would be the wavelength of the sound
when it travels through the concreate wall
with the frequency of 4500 hertz?​

Answers

Answer: 0,96 m

Explanation: speed in concrete is 4300 m/s

According to wave equation speed v = lambda × frequency

Lambda = speed /frequency

__________ is the
process by which populations change over
time.

Answers

Evolution, is a process that results in changes in the genetic material of a population over time.

hiii pls help i’ll give brainliest thank you

Answers

Answer:

friction force

Explanation:

friction forces a force that opposed the relative motion of two bodies in contact or when sliding

Read the article Watering Livestock with Renewable Energy.

Why does it make sense for ranchers to use renewable energy to pump water?

Animals do not need water during the summer.
In most of the United States, there is not enough wind to run pumping systems.
Solar energy is strongest in the winter, when water is needed for animals and crops.
Wind and solar energy help save money and reduce air pollution.

Answers

Answer:

D. Wind and solar energy help save money and reduce air pollution.

Explanation:

Answer:

d

Explanation:

edge 2021

If a microwave oven is rated at 2400 watts and it is connected at a 120 volt
outlet, how much current does it use?

A. 2280 amps
B. 0.05 amps
C. 20 amps
D. 288,000 amps

Please answer this ASAP

Answers

Answer:

c. 20 amps.

just divide the watts by the volts

The correct answer is c

pls match this I will mark u as brainlist ans​

Answers

Answer: The items listed in the attached file is correctly matched below.

Explanation:

51.) Temperature --> ( Kelvin). This is the correct option as the standard international unit of temperature is measured in Kelvin.

52.) Needle --> ( wedge). An example of a wedge is a needle as they are simple machine designed to make work easier.

53.) Wood --> ( non - magnetic material). This is the correct option as wood can not be attracted by a magnet.

54.) Door knob--> (wheel and axle). The door knob is a type of wheel and axle as it has a wheel portion which is the knob and an axle which is the rod in the door that turns the same axis.

55.) Ramp --> (inclined plane). A ramp is an inclined plane which has a sloping surface.

56.) Like forces --> (repels each other). In an electrostatic field, two charged objects repels each other if they have like forces.

57.) Mass --> ( kilogram). This is the correct option as the standard international unit of mass is measured in kilogram.

58.) Friction --> ( oppose motion). This is correct as friction is the force that poses resistance to a moving object.

59.) Cobalt coin -->( magnetic material). This is the correct option as cobalt coin can be attracted by a magnet.

60.) Lemon crusher --> ( Class 2 lever). This is correct as the lemon (load) is at the middle of the fulcrum ( squeezer) and the effort (hand)

61.) Sew saw -->( Class 1 lever). This is correct as in first class lever type of machine, the fulcrum is in-between the load and the effort.

62.) Wheel and axle --> ( Grooved wheel with rope around)

63.) Unlike forces --> ( attracts each other). In an electrostatic field, two charged objects attracts each other if they have unlike forces ( that is, one is positive and the other is negative).

64.) Earth pulls everything towards --> (Gravitational force). This is correct as stated by Newton's law of universal gravitation. This law states that every massive particle in the universe attracts every other massive particle with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

65.) Wedge --> (Device to split object apart). This is correct as wedge is a type of simple machine which is used to split objects apart.

Answer:

The items with their corresponding match is presented as follows;

51. Temperature ↔ Kelvin

52. Needle ↔ Wedge

53. Wood ↔ Non-magnetic material

54. Door knob ↔ Wheel and axle

55. Flange ↔ Grooved wheel with a rope around

56. Like forces ↔ Repels each other

57. Mass ↔ Kilogram

58. Friction ↔ Oppose motion

59. Cobalt coin ↔ Magnetic material

60. Lemon crusher ↔ Device to split objects apart

61. See saw ↔ Class I lever

62. Wheel and axle ↔ Class II lever

63. Unlike forces ↔ Attract each other

64. Earth pulls everything towards ↔ Gravitational force

65. Wedge ↔ Inclined plane

Explanation:

what is the equation for net force

Answers

Answer:

Is to add all forces, for example either the gf = gravitational force

Ff= force fiction

Fn= normal force

Thus, fg + ff + fn = y will give you results

Well then the forces you use in your exercises or questions.

The equation for net force is: ΣF = ma

or, ΣF = Δp/Δt.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. Newton is the SI unit of force.

Hence, net force applied on the object = mass × acceleration

ΣF = ma

It can be written in another from as:

net force applied on the object = change in momentum ÷ time interval

ΣF = Δp/Δt

So, the equation for net force is: ΣF = ma

or, ΣF = Δp/Δt.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

Which of the following is true about the diameter of a circle?
A. The diameter is twice the length of the radius.
B. The diameter is twice the length of the circumference.
C. The diameter is half the length of the circumference.
D. The diameter is half the length of the radius.​

Answers

Answer:

option A

Explanation:

the diameter is twice the length of the radius

hope it helps

I'll mark brainliest
Q: You're playing a game of catch with a dog, the dog is initially standing near your feet. Then he jogs 20ft in a straight line to retrieve the stick and carries the stick 15ft back towards you before lying on the ground to chew the stick.
A). Cal the total distance
B) . Total displacement
C). Show that the net displacement of the trip is the sum of the sequential displacement that makes up the trip.​

Answers

Answer:

A) 35 ft

B) 5 ft

C) Net displacement = distance covered by the dog to retrieve the stick - distance covered before the dog starts chewing the stick

Explanation:

A) Total distance covered by the dog = 20 + 15

                                  = 35 ft

B) Since the other distance covered by the dog before chewing the stick, after the retrieval, was in an opposite direction to the initial direction, then;

total displacement of the dog = 20 - 15

                                  = 5 ft

C) Net displacement = distance covered by the dog to retrieve the stick + distance covered before the dog starts chewing the stick

But, displacement involves a specified direction. The distance covered before the dog starts chewing the stick was in an opposite direction to the initial direction.

Thus,

Net displacement = distance covered by the dog to retrieve the stick - distance covered before the dog starts chewing the stick

Please help Solve! I need help!

Question:
Jermaine runs exactly 2 laps around a 400-meter track. What is the displacement?

Multiple choice answers (I need help I don't understand I don't know what the answer is PLEASE HELP ME):
a. 200
b. 800
c. 400
d. 0

Answers

D

Explanation

Given,

Distance covered in 1 lap = 400m

= Distance covered in 2 laps = 400 × 2

=800m

If Jermaine runs 2 whole laps, she comes back to her starting point.

So the answer is 0m

How much thermal energy is absorbed when 145 g of water at 23ºC is heated until it boils and turns into vapour?

Answers

Answer:

the thermal energy absorbed is 46,893 J

Explanation:

Given;

mass of the water, m = 145 g = 0.145 kg

initial temperature of the water,  t₁ = 23 ⁰C

final temperature of the water, t₂ = 100 ⁰C

specific heat capacity of water, c = 4,200 J/kg.⁰C

The thermal energy absorbed is calculated as;

H = mcΔt

H = 0.145 x 4,200 x (100 - 23)

H = 46,893J

Therefore, the thermal energy absorbed is 46,893J

When solar energy is converted to thermal energy, how is the thermal energy used? Check all that apply.

to provide air conditioning
to cool refrigerators
to heat spaces in buildings
to heat water

Answers

Answer:

to heat spaces in buildingss

Explanation:


What would be the mass of an object that has a force of 88N and an acceleration of 12 m/s2?

Answers

Answer:

7.33 kg

Explanation:

F = ma

88 N = m(12 m/s^2)

m = 7.33 kg

Harish runs on a straight path with the velocity of 16 m/s . How long distance will he cover in 2 minutes ?​

Answers

Answer:

Harish went 1.92 Km in 2 minutes.

Explanation:

Harish is running at 16 m/s (Meters per second) and we need to find how far he goes in 2 minutes.

We can use this formula to calulate the distance:

m/s x time

We know that Harish is going 16m/s so let's plug that in:

16 (m/s) x time

We also should know that 2 minutes is 120 seconds - Let's plug that in too:

16 (m/s) x 120 (Seconds)

Now we calculate:

16 x 120 = 1920

Harish went 1,920 meters in 2 minutes.

Even though we have a correct answer, we can still make it easier to read by converting meters into kilometers.

1 Kilometer (Km) is equal to 1,000 meters.

All we need to do now is divide 1,920 by 1,000 and that will gove us our simplified answer of:

1.92 Km

Answer:

1.92 km

Explanation:

I will explain you:

2×60=120

we have to take 16×120=1920km bro

A player prefers to make high passes that lift the puck above the ice. Which stick should the
player choose?

Answers

Answer:

i dont know

Explanation:

hello

1. If you add air to a flat tire through a single small entry hole, why does the air spread out to fill the tire?

Answers

Answer:

The tire fills up just like anything else that holds air when u pump a ball or tire up it fills all the way up cause it is a small confined space and after filling it with air the atoms of the air fill the tire up

Explanation:

Encontrar la cantidad de movimiento de una partícula de 3,05Kg que se mueve a una velocidad de 56m/s.

Answers

Answer:

Momento = 170.8 Kgm/s

Explanation:

Dados los siguientes datos;

Masa = 3,05 kg

Velocidad = 56 m/s

Para encontrar el impulso;

El momento se puede definir como la multiplicación (producto) de la masa que posee un objeto y su velocidad. El momento se considera una cantidad vectorial porque tiene magnitud y dirección.

Matemáticamente, el momento viene dado por la fórmula;

[tex] Momento = masa * velocidad [/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Momento = 3.05 * 56 [/tex]

Momento = 170.8 Kgm/s

At which point on this graph do reactants begin to produce products as they collide?

Answers

Answer:b

Explanation:

i just did the quiz i was look for it too then got it

The point on this graph do reactants begin to produce products as they collide is B.

What is chemical reaction?

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

This graph shows how the reactants are reacted and products are formed in a chemical reaction.

As the reaction proceeds, the potential energy is higher when reactants begin to produce products.

Thus, the point on this graph do reactants begin to produce products as they collide is B.

Learn more about chemical reaction.

https://brainly.com/question/22817140

#SPJ5

In one experiment, the teacher determined that the force on the wire was 2.14 mN
The current in the wire was 0.32 A
The length of wire within the magnetic field was 0.048 m
Calculate the magnetic flux density between the two magnets.
Use the Physics Equations Sheet.
Give your answer to 2 significant figures.

Answers

Answer:

in ine experiment the teacher determined

Imagine driving down the road and you suddenly doubled your velocity. What then happens to your overall kinetic energy?

it is halved


it remains unaffected


it is doubled


it is quadrupled

Answers

The answer is it it quadrupled
Other Questions
How does the author use the themes of light and darkness in lines 9-14? Are they the same or different than the typical use of them? Explain your answer with specific words/phrases. Lana has completed 65% of her math homework. Which fraction is equivalent to 65%?A. 13/20B. 65/1C. 7/20D. 13/2,000 two ways in which women and children can be protected from discrimination and violence What is arc BDE?Links=reportedPlz helppp!! Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2. 1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is7.5%. What is the final cost? Josie watches a play at the theatre.The play ends at 9:55 pm.It takes Josie 15 minutes to get from her seat in the theatre to the bus stop.Buses to Josie's home leave the bus top at the following times18:2519:2520:2521:0521:2522:0522:25a)Write down the time of the earliest bus that Josie can catch.b) How long will Josie have to wait at the bus stop for, if she catches theearliest possible bus? (you, lock, always)..... the door when you leave 5. Complete the sentencesUse the Present Simple of the verbs in brackets. Put the adverbs in the right place.1. Susan(do / never) her homework in the kitchen.2. Henry and TinaMot meet / usually in the afternoons.3. I(be / always) at home on Sunday mornings.4. We(go out/ seldom) at night from Monday to Friday.5.(you / eat / sometimes) pizza?6. English weather(not be / Often) sunny. please help!!! will mark brainliest Read the passages and answer the question below.Based on the clues in this passage, what does quizzit mean?A. On the first use it means a planned test, but on the second use it refers to a surprise quiz.B. It describes the sound an alligator makes when eating.C. The first time the word is used it is a question, but the second time it is a statement.D. It is a questioning word, similar to the word asks. Need help ASAP for exam!!!Solve for x. Just type the NUMBER with no spaces. It will be marked wrong if you don't. If you want to write a square root, for example square root of 5 The graph shows a line and two similar triangles. What is the equation of the line? A. Y=3/2xB. Y=2/3xC. Y=3xD. Y=2x Calculate the amount of heat needed to convert 0.8 kg of ice at -19 C into water at 29 C. Explain how to draw a circle with a circumference of pi^2 inches. Use the double bar graph below to answer the following question.What was the population of San Diego in 2000?1,000,0001,200,0001,100,0002,000,000 wind: converts mechanical energy of ______________ into electricitywindthe Sunwatersteam 3. I didn't travel much in my childhood, but Iam certainlylost timenow.(1 Point)making updoing updoing withoutmaking up for Write an email in which you list things to do or places to go in your townBe sure to write your response in Spanish Plz hurry, 80 points! Name the most important and largest part of the human brain.