A van slows down as it travels up a steep hill. Its speed goes from 20m/s at the bottom of the hill to 12m/s when it reaches the top 8 seconds later. How far has the van travelled between the bottom and the top of the hill?

Answers

Answer 1

Answer

13.06 m


Explanation

The height reach ca be calculated using the one of the linear equation.

v² = u² - 2gs

where u ⇒ is the initial speed,

          v ⇒ is the final speed

        g ⇒ is the acceleration due to gravity and

       s ⇒ the height reached.

v² = u² - 2gs

12² = 20² - (2×9.8×s)

144 = 400 - 19.6s

19.6s = 400 - 144

        = 256

s = 256/19.6

    = 13.06 m

Answer 2

Answer:

d = 128 m

Explanation:

Here given that van slows down as it travels up a inclined steep hill

So here we can assume that through out the motion its acceleration will remain constant.

Now we can use kinematics to find out the distance traveled by it

As we know that acceleration is defined as

[tex]a = \frac{v_f - v_i}{t}[/tex]

here we know that

[tex]v_f = 12 m/s[/tex]

[tex]v_i = 20 m/s[/tex]

time = 8 s

now we have

[tex]a = \frac{12 - 20}{8} = -1 m/s^2[/tex]

Now in order to find out the distance it moved we can use

[tex]v_f^2 - v_i^2 = 2 ad [/tex]

now we will plug in all above data

[tex]12^2 - 20^2 = (2)(-1)d[/tex]

[tex]144 - 400 = -2d[/tex]

[tex]d = \frac{-256}{-2} = 128 m[/tex]

so it will cover total distance of 128 m


Related Questions

Why does the area swept by a planet in a given period of time remain constant even as the planet speeds up and slows down

Answers

A planet orbiting a star in a eclipse and sometimes it is closer to the star but sometimes it is farther. When it is closer the gravity on the planet from the star is stronger and it speeds up. The area the planet sweeps over is equal because when it speeds up the length covered along the orbital path is greater, but it is also closer to the star, and that dimension is decreased. 
The planet speeds up when it's closer to the sun, and sweeps out a short fat triangle every hour. It moves slower when it's farther from the sun, and sweeps out a long skinny triangle every hour. The triangles have equal areas.

The only way I know to explain WHY this happens is:. That's how gravity works.

By the time you finish a couple of semesters of college Physics, you'll be able to take Newton's laws of gravity and motion, add some geometry and some calculus, stir well, and show why the planets must follow Kepler's laws.

"what scientific principle is the mercury barometer based on"

Answers

barometers with mercury measure air pressure. when the air pressure is high the mercury rises

You drop a rock off the top of a 100m tall building. How long does it take to hit the ground?

Answers

how heavy is the rock? comment and i will tell you answer

Why are some objects heavier than others?

Answers

Some objects are heavier then others because they have more mass. Exp: A bowling ball has more mass then that of a feather. A person has more mass then that of a bowling ball. And so on… 

Here's a quote to help! 

"Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together. Air resistance causes the feather to fall more slowly." 

An airplane flies with a constant speed of 840 km/hr. How far will go in 270 min

Answers

It would be 3780 km... hope this helps and have a great day<3 !!!!

What causes friction between two solid forces? After the roughness of the surfaces, what most affects the frictional force experienced

Answers

friction is caused by two solids rubbing together quickly.

Lavoisier made an important contribution to chemistry by _____.

coining the term "atom"
developing the law of multiple proportions
developing the law of conservation of matter
developing the atomic theory of matter

Answers

developing the law of conservation of matter
by making the law of matter witch is matter can not be made or destored 

Which force is responsible for making fusion possible in the sun?

Answers

what are the answer choices, can you tell me the please?

Answer: Strong Nuclear Force is responsible for making fusion possible in the sun .

Explanation:

Fusion reaction is basically the result of the interplay of two opposing forces

1. Attractive Strong Nuclear Force

2. Repulsive coulomb force

Strong nuclear force is a short range force while its magnitude is much greater than the coulomb force . When two nuclei approach each other coulomb force of repulsion between the nuclei (proton-proton repulsion) acts between the nuclei but due high speed as the nuclei come closer strong nuclear force of attraction come into play which has magnitude much more larger than the coulomb force .

             The strong force grows rapidly once the nuclei are close enough, and the fusing nucleons can essentially "fall" into each other and the result is fusion and net energy produced. Thus it is the presence of Strong Nuclear Force which makes the fusion possible .

A car making a 111-km journey travels 41 km/h for the first 55.5 km. how fast must it go during the second 55.5 km to average 51 km/h?

Answers

over 55.5km v = 41km/h
start by solving total time (tt) = distance (d) / v, where d = vt
tt = 111km/51km/h = 2.18h
Now let's see it the first half in t plus the second half in t = 2.18h
t1 + t2 = 2.18h
(d1/v1) + (d2/v2) = 2.18h
(55/41) + (55/v2) = 2.18h
1.34h + 55/v2 = 2.18h
55/v2 = 2.18 - 1.34
55/v2 = 0.88
v2 = 55/0.88 = 62.5km/h

What are the four layers of oceanic crust from top to bottom?

Answers

Oceanic, Crust, Geolific, techtonic

Oceanic, Crust, Geolific, techtonic are the four layers of oceanic crust from top to bottom.

what are oceanic crust ?

Oceanic crust is nothing but the part of the Earth's crust which makes up the seafloor which is  thinner, denser, and simpler in structure than the continental crust; it is  younger, on average; from its birth at a mid-ocean ridge to its end at a subduction zone.

The oceanic crust fragments are sometimes become stranded high and dry on top of a continent; both Continental Crust together  constitute the Earth Crust, yet they are completely distinct in composition, thickness and geological history.

The Oceanic Crust exists at the bottom of all Oceans, filling the spaces between the portions of Continental Crust, its density and thickness, plunges below the edge of the continental plate into the subduction zones.

This causes formation of  a new ocean plate to accommodate displacement of continents and replace the plate that is destroyed by subduction.

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At room temperature table salt is a solid and mercury is a liquid. What conclusion can you draw about the melting points of these substances?

Answers

Salt has a higher melting point than Mercury. 

What color would a yellow cloth appear to have if illuminated with sunlight?

Answers

The colour we see is a measure of the wavelengths of light nor absorbed by the cloth. We would call the colour of the cloth blue if it absorbed longer wavelengths of yellow/orange/red. Sunlight contains all the visible wavelengths. Whatever is not absorbed is reflected.

Almonds cost $3.49 per pound. A bag of almonds costs $6.95. to the nearest whole pound, about how many pounds of almonds are in the bag?

Answers

The hint in this problem is in the word "about" or approximately how many pounds.

So we could find the solution by estimation through rounding off.

 

We know that almonds cost about 3.50 per pound and a bag costs about $7.00.

Dividing 7 by 3.50 per pound, will give us $7 ÷ $3.50 = 2 pounds.

The answer is 2 pounds.

Answer:2 pounds of almonds are in the bag.

Explanation:

According to question ,pounds of almonds in $3.49 = 1 pound

Then pound of almond for $1 = [tex]\frac{1}{3.49} pounds[/tex]

Pounds of almond which cost $6.95:

[tex]\frac{1}{3.49}\times 6.95 pounds=1.9914 pounds\approx 2 pounds[/tex]

2 pounds of almonds are in the bag.

The Power Rocket coaster track is 3,265 feet and the ride is 90 seconds long. What is the speed of the coaster in feet per second?

Answers

Not sure if you're in FLVS or not but, the answer should be 36. I'm doing the same assignment. Pretty sure all you have to do is divide 3,265 and 90. Hope I could help you out.

Describe the relationship between amperage, voltage, and power.

Answers

Electrical power = volts times Amperes

In electric circuits, amperage (current) is the flow of charge, voltage is the potential that causes this flow, and power is the rate of energy consumption or conversion. Power is calculated with the formula P = VI, indicating the direct proportionality between voltage and current, and the inverse relationship with resistance.

The relationship between amperage, voltage, and power in electric circuits is fundamental to understanding electric power.

Amperage, or current (measured in amperes), is the flow of electric charge. Voltage (measured in volts) is the potential difference that causes current to flow through a circuit. The power (measured in watts) is the rate at which electrical energy is consumed or converted into another form of energy. According to Ohm's Law, the formula to calculate power is P = VI, where P represents power, V voltage, and I current.

There is a directly proportional relationship between voltage and current in ohmic devices, meaning that if the voltage increases, the current also increases proportionally, provided the resistance remains constant. Conversely, for a fixed voltage, the current will differ depending on the resistance of the material - the lower the resistance, the higher the current. Hence, if we have two lightbulbs with different wattages operating at the same voltage, the one with a higher power rating must have a lower resistance and consequently draw more current. Increasing voltage will also increase power, which explains why a lightbulb designed for a particular voltage will burn out if connected to a higher voltage.

What was the physical principle used by edwin hubble to demonstrate that the "spiral nebulae" are very distant and large?

Answers

The physical principle used by Edwin Hubble to demonstrate that the "spiral nebulae" are very distant and large was the inverse-square law of light. The Cepheid variable stars in the spiral nebulae obey a period-luminosity relation; by measuring the period of a Cepheid star, its average luminosity can be determined, and then, by comparing this with its average apparent brightness, its distance can be calculated.

The variable that you change during an experiment is called what type of variable?

Answers

The independent variable 
Independent is the affect of a dependent variable
control keeps everything the same

The force that is most responsible for the stability of the atomic nucleus is:
A.) gravityB.)  electromagnetismC.)  strong nuclear force D.)  weak nuclear force

Answers

I think it’s answer C

Answer: Option (C) is the correct answer.

Explanation:

Nucleus of an atom consists of protons and neutrons. Whereas electrons revolve around the nucleus of the atom.

Protons are positively charged, neutrons have no charge and electrons are negatively charged. So, like charge of protons tend to oppose each other and as a result, electrostatic force of repulsion occurs.

This electrostatic force of repulsion is overcome by strong nuclear force which helps in binding of protons and neutrons into the nucleus.

Thus, we can conclude that the force that is most responsible for the stability of the atomic nucleus is strong nuclear force.

a small airplane flies at a velocity of 145 km/h toward the south as observed by a person on the ground. The airplane pilot measures an air velocity of 172 km/h an hour. What is the velocity of the wind that affects the plane?

Answers

We apply the equation for the velocities adddition
[tex]V=V(plane)+V(wind)[/tex]
From this equation we obtain the velocity of wind
[tex]172=145+V(wind)[/tex]
[tex]V=172-145 =27 (km/h)[/tex]
The air velocity is bigger for the pilot of the plane because the speed of the plane adds with the speed of the wind.

Water flows over a section of niagara falls at a rate of 6.00 ´ 105 kg/s and falls 50.0 m. what is the power dissipated by the waterfall?

Answers

The answer is: PE lost every second = mgh = 1.2x10^6 * 9.81 * 50 = 5.89x10^8J So, Power = 5.89x10^8W

What evidence did Wegener make use of to develop the theory of continental drift? A The climate of Siberia has always been the same. B There is no evidence of glaciers anywhere in South America. C The Rocky Mountains are taller than the Appalachian Mountains. D Mountains in North America appear to be part of the same chain of mountains as those in Northern Europe.

Answers

The answer is D. Mountains in North America appear to be the same as those in Northern Europe
If we look at the maps the mountains in north America adopter to be part of the same chain of mountains as those in northern Europe. So Its D.

Which of these helps you understand what people are saying to you? A. Interrupting them B. Looking away while they're speaking C. Thinking about how you'll respond D. Thinking about what they're saying

Answers

i believe the answer is  D. Thinking about what they're saying
Interrupting them will make them unable to finish their full message/thought to you. Looking away while they're speaking will make you reduce your attention and unable to process the information properly. Thinking about how you'll response also limit your attention to them and could make you cloud your opinion and misinterpret what's they're saying.
d                  ...................................

One's perception depends on the way the brain interprets the stimuli. Please select the best answer from the choices provided T F

Answers

The answer for this question would be option A) TRUE or the first choice because one's perception DOES depend on the way the brain interprets the stimuli.

Answer: The given statement is true.

Explanation:

A change that is observable is known as a stimuli. Every individual has their own way of thinking and interpreting things.

For example, Lisa got a chocolate as a reward for completing her homework whereas his elder brother gets upset with his mom because of this.

So, in this situation Lisa will be happy as she has got a reward whereas his brother is taking this thing in a negative way by getting jealous or upset about it.

Hence, we can conclude that the statement one's perception depends on the way the brain interprets the stimuli, is true.

I NEED THIS CORRECT!!
Bases turn litmus paper what color?

Answers

Red Litmus turns blue under bases and Blue litmus paper turns red under acidic conditions.

What is the main difference between protons and neutrons?

A.Protons have a much smaller mass than neutrons.
B.Protons have a much larger volume than neutrons.
C. Protons have an electrical charge, but neutrons have no charge.
D. Protons make up the nucleus, but neutrons orbit around the nucleus.

Answers

Answer:

C. Protons have an electrical charge, but neutrons have no charge.

Explanation:

Protons and neutrons both are parts of nucleus and they stay inside the nucleus due to large nuclear force between them

Mass of proton and mass of neutron is almost same or in more precisely we can say that neutrons are slightly heavy than protons

mass of neutrons is 1.008 amu while mass of protons are 1.007 amu.

the main different between them is that protons are positively charged and their charge is same as that of charge of electron

[tex]q_{proton} = 1.6 \times 10^{-19} C[/tex]

while neutrons are electrically neutral and they do not have any charge on them.

so correct answer will be

C. Protons have an electrical charge, but neutrons have no charge.

Answer:

c

Explanation:

The heating element of an electric oven is designed to produce 5.0 kw of heat when connected to a 220 v source. what must be the resistance of the element?

Answers

The answer is 9.86 ohm

The resistance of an electric oven's heating element that produces 5.0 kW of heat when connected to a 220 V source must be 9.68 ohms.

To determine the resistance of the heating element that produces 5.0 kW of heat when connected to a 220 V source, we use the formula for electrical power (P): P = V^2 / R, where P is power, V is voltage, and R is resistance. Rearranging the formula for resistance gives us R = V^2 / P.

Substituting the given values, we get R = (220 V)^2 / (5.0 kW), which can be further simplified as R = 48400 V^2 / 5000 W = 9.68

Therefore, the resistance of the heating element must be 9.68 ohms.

What electron configuration has the greatest stability?

Answers

An atom is in a stable form when its outer electron shell is full and electronic configurations having duplet structure means two valence electrons and octet structure means eight valence electrons has the greatest stability. Mostly atoms of elements have not stable configuration and to acheive stable configuration they react with other atoms to transfer, share or receive electrons.
Final answer:

The electron configuration with the greatest stability is the one that follows the Aufbau principle and has completely filled energy levels or sublevels.

Explanation:

The electron configuration that has the greatest stability is one that follows the principle of filling up the energy levels and sublevels in a specific order. This principle, known as the Aufbau principle, states that electrons will fill the lowest energy levels and sublevels first before moving to higher energy levels and sublevels. Additionally, the electron configuration that has a completely filled sublevel or energy level is more stable due to the electron-electron repulsion being minimized.

For example, the electron configuration of the element neon (Ne) is 1s2 2s2 2p6. This configuration has a completely filled 2p sublevel and is considered more stable than a configuration with only partially filled sublevels.

Therefore, the electron configuration with the greatest stability is the one that follows the Aufbau principle and has completely filled energy levels or sublevels.

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A hot air balloon is ascending at a rate of 7.5m/s when a passenger drops a camera. If the camera is 25m above the ground when it is dropped, how much time does it take for the camera to reach the ground, and what is the velocity just before it lands?

Answers

A hot air balloon is ascending at speed of 7.5 m/s when a passenger drops a camera. If the camera is 25 m above the ground when it is dropped, it will take the object 3.15 seconds to reach the ground.

What is speed?

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

The time it takes for an object to reach a certain level given the distance and the initial velocity can be calculated through the equation,

   d = V₀t + 0.5*gt²

Where d is the distance, V₀ is the initial velocity, g is the acceleration due to gravity and t is time. Substituting the known values from the given above,

  25 = (-7.5)(t) + 0.5(9.8 m/s²)(t²)

The value of t from the equation 3.15 s

A hot air balloon is ascending at speed of 7.5 m/s when a passenger drops a camera. If the camera is 25 m above the ground when it is dropped, it will take the object 3.15 seconds to reach the ground.

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A system releases 680 kj of heat and does 150 kj of work on the surroundings.what is the change in internal energy of the system?

Answers

I need a answer choice

Which of the following is not a characteristic of a creative person

A.Expertise
B.Extrinsic motivation
C.A ventures ome personality
D.Imaginative thinking skills

Answers

It is B by process of elimination.

Extrinsic motivation is not a characteristic of a creative person. Hence, option (B) is correct.

What is extrinsic motivation?

The psychological phenomena in which people engage in particular behaviors as a result of rewards from outside sources is known as "extrinsic motivation."

The practice of operant conditioning, a method of behavior modification that makes use of extrinsic motivators—or stimuli like rewards and punishments to motivate particular actions and their repetition, is based on this idea. Both intangibles and extrinsic motivators are possible.

Examples of extrinsic motivation are :

CompensationAdvancementPraiseRewardsVisibilityConflict avoidanceMutual Respect

Therefore, the extrinsic motivation is not a characteristic of a creative person. So, option (B) is correct.

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