Someone in a car going past you at the speed of 32 m/s drops a small rock from a height of 2 m. How far from the point of the drop will the rock hit the ground? the acceleration due to gravity is 9.8m/s^2. answer in units of m.

Answers

Answer 1

Answer:

The rock will hit the ground at 20.44 m from the point of the drop

Explanation:

Horizontal Motion

It occurs when an object is thrown horizontally from a height h at an initial speed v.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

When the small rock is dropped from a car at speed v=32 m/s, it starts a curved path that ends up when the rock hits the ground. The height is h=2 m, thus the range is:

[tex]\displaystyle d=32\cdot\sqrt{\frac {2\cdot 2}{9.8}}[/tex]

[tex]\displaystyle d=32\cdot\sqrt{0.4082}[/tex]

[tex]d=20.44\ m[/tex]

The rock will hit the ground at 20.44 m from the point of the drop


Related Questions

4. Describe the forces acting on a softball after it leaves the pitcher's hand. Ignore the effects of
air resistance.

Answers

Answer:

Drag, which is a force preventing the ball from going faster than it was thrown, this increases as velocity increases. Gravity, which Is pulling down on the ball.

Explanation:

What is air??????????????

Answers

Answer:

Air is what you breath in

What must follow the division of the nucleus to complete the process of binary fission

Answers

Answer:

Replication of the DNA must occur. Segregation of the "original" and its "replica" follow. Cytokinesis ends the cell division process. Whether the cell was eukaryotic or prokaryotic, these basic events must occur.

Gravitational potential energy is potential energy based on what?
a. temperature
b.height
c. length
d. volume

Answers

B. height
The higher you are, the more gravitational energy you possess

Answer:

Height

Explanation:

the more height the more gravitational energy

A system has both thermal energy and chemical potential energy. According
to the law of conservation of energy, which statement describes the total
energy of this system?
O A. It will decrease over time as chemical potential energy is
transformed into thermal energy.
B. It will decrease as thermal energy is transferred out of the system.
C. It will remain constant because the total amount of thermal energy
plus chemical potential energy stays the same.
OD. It will increase as thermal energy is created from chemical
potential energy

Answers

Answer:

C. It will remain constant because the total amount of thermal energy  plus chemical potential energy stays the same.

Explanation:

According to the law of conservation of energy, the total energy of this system will remain constant because the total amount of thermal energy plus chemical potential energy stays the same.

The law of conservation of energy states that "energy is neither created nor destroyed in system but transformed from one form to another". Total energy in a system will always be conserved. It will remain constant.

Newton's first law of motion states than an object's motion will not change
unless?

Answers

Answer:

it is hit by an external force

Explanation:

Which reaction is an acid-base neutralization reaction?

A. Mg + 2HCl → MgCl2 + H2

B. HCl + NaOH → NaCl2 + H2O

C. SiCl4 → Si2 + 2Cl2

D. N2 + 3H2 → 2NH3

Answers

Answer:

option B is correct

Explanation:

neutralization is the reaction between acid and base to produce water and salt therefore option B is correct

A dog jumps 0.80 m to catch a treat. The dog's displacement vector is shown below.
Which diagram shows the vertical and horizontal components of the dog's displacement?
Choose 1 answer:

Answers

Answer:D

Explanation:

It was right o khan academy

A dog jumps 0.80 M to catch a treat. The dog's displacement vector is shown below.

Which diagram shows the vertical and horizontal components of the dog's displacement?

THE ANSWER IS IN THE ATTACHMENT!

a car starts from rest and accelerates to a speed of 30 m/s in a time of 3 seconds. the average acceleration of the car is

Answers

Answer:

10m/s²

Explanation:

v=u+at

30=0+a(3)

∴a=10m/s²

Answer:

10m/s^2. Just curious, what kind of car is it? Is it a lamborghini

Explanation:

A stone is thrown at an angle of 34.0° above the horizontal from the top edge of a cliff with an initial speed of 18.3 m/s. A stopwatch measures the stone's trajectory time from the top of the cliff to the bottom at 2.6 s. What is the height of the cliff?

Answers

Answer:

Explanation:

Using the formula for calculating the maximum height in projectile

H = u²sin²theta/2g

u is the initial velocity = 18.3m/s

g is the acceleration due to gravity = 9.8m/s²

theta = 34°

Substitute

H = u²sin²theta/2g

H = 18.3²(sin34)²/2(9.8)

H = 334.89(0.5592)²/19.62

H = 5.337m

Hence the height of the cliff is 5.337m

how we will solve this question?
36.45cL=______=μL

Answers

Answer:

0.364

I believe... Good luck!

Hand washing is important especially in this time of pandemic

Answers

so you can kill the bacteria

Please help I will give brainliest

Answers

Answer:

ask questions that the findings bring up

Explanation:

hope this helps :)

Answer:

ask questions that the findings bring up

Silver has a mass of 10.5 grams and a volume of 19.3 cm3. What is its density?

Answers

Answer:

The answer is 0.54 g/cm³

Explanation:

The density of a substance can be found by using the formula

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

From the question we have

[tex]density = \frac{10.5}{19.3} \\ = 0.54404145...[/tex]

We have the final answer as

0.54 g/cm³

Hope this helps you

PLEASE HELP ME QUICKLY!!!!!!!!!!!!!!​

Answers

Answer:

I think thats the correct answer

Explanation:

help pls!!! this is worth 30 points, can someone pls help even if u can only give a few answers it would be helpful.

Answers

1- potential 2-kinetic

Answer:

1. potential 2. kinetic 3. potential 4. kinetic 5. kinetic 6. kinetic 7. kinetic 8. kinetic. potential

What two factors are a part of thermohaline circulation

Answers

Answer:

These deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline). This process is known as thermohaline circulation.

Explanation:


5,000 joules of thermal energy were applied to 1-kg aluminum bar. What was the temperature increase?

Answers

Answer:

ΔT = 4.9°C

Explanation:

The thermal energy of the bar can be given as follows:

Thermal Energy = mCΔT

where,

m = mass of bar = 1 kg

C = specific heat capacity of aluminum = 1020 J/kg.°C

ΔT = Change in Temperature = ?

Therefore,

5000 J = (1 kg)(1020 J/kg.°C)ΔT

ΔT = (5000 J)/(1020 J/°C)

ΔT = 4.9°C

I WILL GIVE BRAINLIEST!!!
The Earth's diameter at the equators is ____ its diameter at the poles.

equal to

less than

greater than

Answers

i believe the answer greater than

What is another name for an alpha particle? Include the atomic number and mass number

Answers

Answer:

Alpha particles are Helium nuclei consisting of 2 protons and two neutrons (mass number 4, atomic number 2, no electrons and so carry a 2+ charge).

Explanation:

Grade 8 Science Admin. May 2018 Released
37 A physics teacher performed a demonstration for a science class by pulling a crate across the
floor and measuring the force with a spring scale. While she pulled, a student measured the
acceleration of the crate with a handheld electronic device. The results of three trials are
shown below
Motion
F = 900 N
Actual Acceleration
of Crate
Trial
1
140 kg
Acceleration
(m/s)
0.36
0.34
0.38
0.36
2
3
Average
The teacher asked the class to calculate the acceleration of the crate based on the crate's
mass and the force she applied. What conclusion can be made about the difference between
the calculated acceleration and the actual acceleration that occurred in the trials?
A Another force in the direction of the motion produced a lower acceleration than calculated.
B An opposing force caused by friction produced a lower acceleration than calculated.
C Another force in the direction of the motion produced a higher acceleration than
calculated.
D An opposing force caused by friction produced a higher acceleration than calculated,

Answers

Answer:

B. An opposing force caused by friction produced a lower acceleration than calculated

Explanation:

Answer:

An opposing force caused by friction produced a lower acceleration than calculated.

Explanation:

what is an isoelectronic series

Answers

Answer:

A comparison of the dimensions of atom an ions that have the same number of electron but different nuclear charges is called isoelectronic series

Answer:

A comparison of the dimensions of atoms or ions that have the same number of electrons but different nuclear charges, called an isoelectronic series, shows a clear correlation between increasing nuclear charge and decreasing size

what do humming birds eat? and how do they get their food?

Answers

bugs insects and stuff like every other bird i think

can a chemical change be undone?​

Answers

Answer:

no

Explanation:

because it will bind together in the molecular level

40 POINTS!
A 2,200 kg SUV is traveling at 25 m/s. What is the magnitude of its momentum?
A. 55,000 kg·m/s
B. 550 kg·m/s
C. 2,200 kg·m/s
D. 88 kg·m/s

Answers

Answer:55,000 kg•m/s

Explanation:

What is the speed in kilometers per hour of a 27.78m/s baseball pitch?

Answers

Answer:

I actually don't know

Explanation:

ok chillll

An insulated rigid tank initially contains 1.4-kg saturated liquid water and water vapor at 200°C. At this state, 25 percent of the volume is occupied by liquid water and the rest by vapor. Now an electric resistor placed in the tank is turned on, and the tank is observed to contain saturated water vapor after 20 min. Determine:


(a) the volume of the tank

(b) the final temperature

(c) the electric power rating of the resistor

Answers

Solution:

Mass of liquid water and water vapor in the insulated tank initially = 1.4 kg

Temperature = 200 °C

And 25% of the volume by liquid water is steam.

State 1

[tex]$m=\frac{V}{v}$[/tex]

[tex]$m=m_f+m_g$[/tex]

[tex]$1.4=\frac{0.25V}{v_f}+\frac{0.75V}{v_g}$[/tex]

[tex]$1.4=\frac{0.25V}{1.1565 \times 10^{-3}}+\frac{0.75V}{0.1274}$[/tex]       (taking the value of [tex]$v_g$[/tex] and [tex]$v_g$[/tex] at 200°C  )

[tex]$V=6.304 \times 10^{-3}$[/tex]

Now quality of vapor

[tex]$x=\frac{m_g}{m}$[/tex]

  [tex]$=3.377 \times 10^{-3}$[/tex]

Internal energy at state 1 can be found out by

[tex]$u_1=u_f+xu_{fg}$[/tex]

    [tex]$=850.65+3.377\times10^{-3}\times 1744.65$[/tex]

    = 856.54 kJ/kg

After heating with the resistor for 20 minutes, at state 2, the tank contains saturated water vapor [tex]$v_2=v_g \text { and }\ x=1$[/tex]

Tank is rigid, so volume of tank is constant.

[tex]$v_g=v_2=\frac{V}{m}$[/tex]

[tex]$v_g=\frac{6.304\times 10^{-3}}{1.4}$[/tex]

[tex]$v_g=4.502 \times 10^{-3} \ m^3 /kg$[/tex]

Now interpolate the value to get temperature at state 2 with specific volume value to get final temperature

[tex]$T_2=360+(374.14-360)\left(\frac{0.004502-0.006945}{0.003155-0.006945}\right)$[/tex]

   = 369.11° C

Internal energy at state 2

[tex]$u_2=2154.9 \ kJ/kg$[/tex]

Now power rating of the resistor

[tex]$P=\frac{m(u_2-u_1)}{t}$[/tex]

[tex]$P=\frac{1.4(2154.9-856.54)}{20 \times 60}$[/tex]

  = 1.51 kW

according to Newton's 1st law , an object without a net force ? What

Answers

Answer:

an object in motion stays in motion an object at rest stays in rest

Explanation:

Which two staments explain how a cell's parts help it get nutrients

Answers

Answer:

I think it's A and D.

!!ill give brainliest!
Explain why !

Answers

False because there can be a straight line
Other Questions
Find the value of x. French 3La maison:Les rgles: Your parents have rented an apartment for summer in a family residencenear the beach. Complete each rule (rgle) Les vacantiers peuvent (The vacationers can) (1)(emmnager, dmnager, louer dans la rsidence au dbut du mois de juillet. Le (2)(chambre, loyer, studio) est pay la fin dusjour (stay) Il est demand aux vacanciers de ne pas faire du bruit dans (3)(les appartements, les baignoires, les placards) aprs 10:30 du soir. Chaque famille partage(une commode, leSous-sol, une pice) avec les autres familles Ilya (5)(deux salles de bains, trois escaliers,un jardin) dans tous les appartements. Il faut les nettoyer (clean) la fin dusjour. Les vacanciers peuvent utiliser la piscine dans (6)(le couloir, le jardin, le canap), derrire la maison de shoo 18h00Il est interdit (forbidden) de laisser les vlos dans le jardin. Si vous avez un vlo,il y a (7)(un quartier, un escalier, un garage) pourtous les vacanciers Si vous avez d'autres questions, il y a du papier et un crayon dans (8)(le fauteuil, le tiroir, le rideau) sur la droite. which The following is a residual plot from a regression of a variable with the independent variable x.Based on the plot, is it reasonable to conclude that a linear model is appropriate?1.)Yes, because the plot shows no apparent pattern.2.)Yes, because the points in the plot display less variation as x increases.3.)Yes, because the sum of the residuals is close to zero.4.)No, because the plot shows no apparent pattern.5.)No, because the points in the plot display more variation as x increases. Which of the following powers is responsible for establishing the United Nations? A. Axis Powers B. Allied Powers C. European Union D. United States (only) Please select the best answer from the choices provided Both the British and the Americans frequently used horseback riders to carry messages, and both sides tried to capture the riders and get the messages. The rider who lost one of Washington's important messages was Tallmadge himself. It happened when Tallmadge and some of his men were attacked by British troops near the ConnecticutNew York border. Tallmadge escaped unharmed but lost a saddlebag full of secret papers.Luckily, Tallmadge's code did not fall into British hands. But among the papers was a letter from Washington in which he carelessly gave the name and address of an agent, George Higday, saying that he was a man who would probably "convey intelligence to me." Higday was arrested, but he had managed to destroy all evidence of spying. That move probably saved him from hanging.Which statement best expresses the central idea of the excerpt? The formula for the volume of a cylinder is V = arh.Solve v = 12h for h, the height of the cylinder. why did Sumerians go to ziggurat What was the name of the pamphlet that was written by Thomas Paine (a) common sense (b) leviathan (c) the social contract I will give brailiest to whoever needs it! Evaluate 5x ( x - 3 ) when x = 10 How did the Nile and crop influence egyptian religion? who Left New Jersey to start a colony because of religious persecution? The shaded area of the picture shows what part of the yard Rashon mowed in 15 minutes. He wonders how long it will take him to mow the whole yard.How long will it take Rashon to mow the entire yard?30 mins.60 mins.90 mins.180 mins. If a mutation occurred resulting in a single nucleotide addition to the below DNA sequence, what do you suspect would happen? What is happening in this picture? Solve 2 + 1/6x = -4.X= what effect did the author most likely intend with the description behind them the line of the woodgrass like a dark open mouth paragraph 79 on commonlit(a good man is hard to find) A.to create an atmosphere of serenity B. to create an atmosphere of curiosity C. to create an atmosphere of foreboding D. to create an atmosphere of annoyance Im offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question. what is the advantages of your solutions What happens in the first Crusades