The acceleration of the car during [tex]4.0 s[/tex] is [tex]\boxed{-2.5\,{\text{m/}}{{\text{s}}^{\text{2}}}}[/tex] i.e. towards the west.
Further explanation:
Acceleration is caused due to the force exerted on the body. In case when body is in equilibrium, the net force on the body will be zero therefore, acceleration will also be zero.
In case when body is moving with certain initial velocity and the net force on the body is zero, body will continue to move with the same velocity or we can say body is moving with uniform velocity.
Given:
Initial velocity of the car is [tex]16\text{ m/s}[/tex] towards east.
Final velocity of the car is [tex]6\text{ m/s}[/tex] towards east.
Time interval is .[tex]4.0\text{ s}[/tex].
Concept:
Instantaneous acceleration is defined as the rate of change of velocity with respect to time. Average acceleration is defined as the change of velocity over a certain period of time.
Mathematically,
[tex]\boxed{a = \dfrac{{\Delta V}}{{\Delta t}}}[/tex] ……(1)
Here, [tex]a[/tex] is the average acceleration of car, [tex]\Delta V[/tex] is the change in velocity and [tex]\Delta t[/tex] is the time interval.
Write the expression for change in velocity
[tex]\Delta V = {V_{\text{f}}} - {V_{\text{i}}}[/tex] …… (2)
Here, [tex]{V_{\text{f}}}[/tex] is the final velocity of car and [tex]{V_{\text{i}}}[/tex] is the initial velocity of the car.
Velocity is a vector quantity so take magnitude as well as direction of the velocity, while substituting in the above expression.
Let’s assume unit vector in the east direction is [tex]\hat i[/tex] and unit vector in west direction is [tex]- \hat j[/tex].
Substitute [tex]6\,\hat i[/tex] for [tex]{V_{\text{f}}}[/tex] and [tex]16\,\hat i[/tex] for [tex]{V_{\text{i}}}[/tex] in equation (2).
[tex]\begin{aligned}\Delta V&=\left( {6{\kern 1pt} \hat i} \right) - \left( {16\,\hat i\,} \right)\\&=10\,\left( { - \hat i} \right)\\\end{aligned}[/tex]
Substitute [tex]10\,\left( { - \hat i} \right)[/tex] for [tex]\Delta V[/tex] and [tex]4.0\text{ s}[/tex] for [tex]\Delta t[/tex] in equation (1).
[tex]\begin{aligned}a&=\frac{{\left( { - 10\,\hat i\,{\text{m/s}}} \right)}}{{\left( {4.0\,{\text{s}}} \right)}} \\&=2.5\,\left( { - \hat i} \right)\,{\text{m/}}{{\text{s}}^{\text{2}}} \\ \end{aligned}[/tex]
Thus, the acceleration of the car during [tex]4.0 s[/tex] is [tex]\boxed{-2.5\,{\text{m/}}{{\text{s}}^{\text{2}}}}[/tex] i.e. towards the west.
Learn More:
1. A 30kg block being pulled across on a carpeted floor https://brainly.com/question/7031524
2. Max and Maya are riding on a merry-go-round https://brainly.com/question/8444623
Answer Details:
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords:
Car, initial, velocity, 16.0 m/s, east, 16 m/s, 16 meter per second, 16.0 meter per second, uniformly, 6.0 m/s, 6 m/s, 6.0 meter per second, 6 meter per second, 4.0 second, 4.0 s, 4 second, 4 s, acceleration, during, interval.
The car decelerated at a rate of -2.5 m/s² east during the four-second interval.
Explanation:The acceleration of a body can be calculated using the formula a = Δv/Δt, where 'a' is acceleration, 'Δv' is the change in velocity and 'Δt' is the change in time.
Here, the change in velocity (Δv) is the final velocity minus the initial velocity, hence Δv = 6.0 m/s - 16.0 m/s = -10.0 m/s. The change in time (Δt) is 4.0 seconds.
Plugging these values into our formula, we get a = -10.0 m/s / 4.0 s = -2.5 m/s².
The negative sign indicates that the car is decelerating or slowing down.
Therefore, the acceleration of the car during this 4.0 second interval is -2.5 m/s² east, meaning it is slowing down.
Learn more about Acceleration here:https://brainly.com/question/12550364
#SPJ6
Will give BRAINLIEST!
A limestone plateau has no surface water. All the water is pulled underground through cracks and crevices in the surface. What most likely will cause the underground of the plateau to change over time?
Physical weathering due to frost wedging
Physical weathering due to abrasion
Chemical weathering due to oxygen
Chemical weathering due to water
A limestone plateau has no surface water. All the water is pulled underground through cracks and crevices in the surface. What most likely will cause the underground of the plateau to change over time?
Physical weathering due to frost wedging
Physical weathering due to abrasion
Chemical weathering due to oxygen
Chemical weathering due to water Correct Answer
Answer: Chemical weathering due to water. fyi i did the test.
Seagrasses are flowering plants. Forty-nine species in 12 genera are known. The flowers are simple and open underwater; pollen is transported by waves and currents. However, they also reproduce vegetatively via rhizomes and form dense mats or meadows often composed of a single species. Totally immersed in seawater, the long, linear leaves have no stomata. The plants never exchange gases with the atmosphere. They absorb carbon dioxide that is dissolved in the water and use the oxygen they themselves produce during photosynthesis.
Considering the characteristics of seagrass, you will most likely find seagrasses in which ocean zone(s)?
A) the ocean basic and the abyss
B) the continental shelf, slope, and rise
C) the continental shelf and the sunlight zone
D) the continental shelf and slope; the sunlight and twilight zones
i just took the test and its c
After considering the characteristics of seagrass, we find that the seagrass is from the continental shelf and the sunlight zone. Hence, option C is correct.
What is Photosynthesis?In order to synthesize, or create, their own food source, plants must consume light energy, hence the name "autotroph." There is a common misconception that when a plant is placed in soil, watered, or exposed to the sun that it is being "fed," although none of these actions are actually regarded to be feeding.
Instead, plants produce glucose, a type of sugar that they require to thrive, using sunshine, water, and gases from the atmosphere. Every plant, every type of algae, and even some bacteria engage in this process, which is known as photosynthesis. Plants require carbon dioxide, water, and sunlight to carry out photosynthesis.
Hence, this concludes that option C is correct.
To get more information about Photosynthesis :
https://brainly.com/question/1388366
#SPJ5
Which of the following is example of direct observation
Direct observation is a crucial method in scientific studies, allowing researchers to collect firsthand information. Examples include a student observing the sky to note weather conditions and a biologist using a GPS-enabled collar to track a grizzly bear's movements. These instances exemplify the use of senses or instruments to acquire data directly from the source.
Explanation:The request for an example of direct observation highlights the importance of firsthand experience in data collection in scientific studies. Direct observation involves actively acquiring information through our senses or instruments without any intermediary. One classic example of direct observation is when a student, during a field trip, looks up at the sky to record the weather conditions. This is a simple yet profound activity where the observer uses their sense of sight to gather data about the sky's color, cloud formations, and possibly even the position of the sun or moon. Additionally, a biologist tracking the movement of a grizzly bear using a GPS-enabled collar operates through direct observation, as they collect data generated from the exact source of the phenomenon being observed.
In both instances, the observers use their senses or scientific instruments to gather information about their surroundings or the subject of their study. Whether it is the student noting down the sky's appearance in a journal or the biologist examining GPS data to understand a bear's migration patterns, both scenarios exemplify direct observation. These examples underline the significance of direct observation in acquiring accurate, firsthand information that lays the groundwork for further scientific inquiry and analysis.
Based on the periodic table above, which of the following elements is a metal?
Answer:
k
Explanation:
k
What two scientific laws or principles contribute to the total amount of lift?
The world's highest shooting water fountain is located in fountain hills Arizona. the water rises to a height of 171 meters. A) what is the initial speed of the water? B) how much time does it take for the water to reach the highest point?
a hollow tennis ball and a lead filled tennis ball are dropped off a tall building. which reaches the ground first, the hollow ball, or the lead filled ball
Most earthquakes occur in areas close to where tectonic plates meet. There are earthquakes in San Francisco. What can be concluded from this information?
A) San Francisco is far away from an area where tectonic plates meet.
B) San Francisco is close to an area where tectonic plates meet.
C) San Francisco is close to Luzon, an island in the Philippines.
D) San Francisco is likely to experience a volcanic eruption in the near future.
Answer:
B) San Francisco is close to an area where tectonic plates meet.
Explanation:
According to the question most earthquakes occur in areas close to where tectonic plates meet. The best option that can be concluded from the earthquakes occurring in Francisco is that San Francisco is close to an area where tectonic plates meet. The close proximity of San Francisco to where tectonic plates meets will likely cause earthquake in that region.
Generally, the earth is divided into different plates. These tectonic plates might be oceanic crust or continental crust. The plates are constantly moving. The plates might be moving away from each other(divergence) , colliding with each other(convergence) or moving past each other (transform).
The area where these plates meets are usually area of potential earthquakes. This boundary are area of minor or major earth quake. Usually , aesthenospheric material are introduce to the surface through this boundary.
Why is it nessesary to have an independent variable that is changed by the experimenter during an experiment
which of these is an element? A. oxygen B. sodium chloride C. water D. air
Two electrical circuits have the same 15-volt batteries. Circuit A has 2 ohms of resistance, and circuit B has 6 ohms of resistance. Which of the following statements is correct?
(1 point)
• Circuit B has the same amount of current as circuit A.
• Circuit B has more current than circuit A, as it has less resistance.
• Circuit B has less current than circuit A, as it has more resistance.
• Circuit B has less current than circuit A, as it has less resistance.
Circuit B has less current than circuit A, as it has more resistance. This is the correct statement.
Using Ohm's law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R), we can determine the current in each circuit. With both circuits having a 15-volt battery and Circuit A having a resistance of 2 ohms, using the formula I = V/R, we calculate the current in Circuit A to be 7.5 amperes. Similarly, with Circuit B having a resistance of 6 ohms, its current is 2.5 amperes. Consequently, since Circuit B has a higher resistance, it allows for less current to flow compared to Circuit A.
why is the mass of an atom’s electrons not included in the atom’s mass number
How can the rate of a reaction be increased?
lowering the temperature
decreasing the amount of reactants
having more surface area
diluting a solution
Answer:
C. Having more surface area
When the reaction involves solids, an increased surface area of it will result in an increased reaction rate. The higher the temperature, the faster the reaction rate will be too. Lowering the temperature, decreasing the amount of reactions, and diluting a solution will decrease the reaction rate
Answer:
having more surface area
Explanation:
four main parts of a spiral galaxy
The four main parts of a spiral galaxy are the disk, bulge, halo, and the signature arms.
What do you mean by the spiral galaxy ?In a spiral galaxy, the rotating disc is surrounded by spiral 'arms' that extend outward from a compact center region. A spiral galaxy is the Milky Way. Galaxies can be divided into four categories: spiral, barred spiral, elliptical, and irregular.
Most spiral galaxies are found in the Universe's low-density regions. They hardly ever appear in the center of galaxy clusters. The Milky Way, our own galaxy, is believed to be a spiral galaxy with a central bar.
The disk, bulge, halo, and distinctive arms are some of the distinguishing characteristics of spiral galaxies. Younger stars are often located in the disk, which emits a bluish tint and is composed of gas and space dust.
Thus, the disk, bulge, halo, and the signature arms are the four main parts of a spiral galaxy.
To learn more about the spiral galaxy, follow the link;
https://brainly.com/question/13074009
#SPJ2
an object moving at a constant velocity travels 274 m in 23 s. what is its velocity?
Answer:
Velocity, v = 11.91 m/s
Explanation:
It is given that,
Distance covered by the object, d = 274 m
Time taken, t = 23 s
We need to find the velocity of the object. It is given by distance covered divided by total time taken i.e.
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{274\ m}{23\ s}[/tex]
v = 11.91 m/s
So, the velocity of the object is 11.91 m/s. Hence, this is the required solution.
Does A= 6.4 B=12 C=12.2 Form a RIGHT TRIANLGE?
Select answer about motion and newtons law and explain why it's correct 23POINTS NEED ASAP
The train would need the greatest amount of force due to weight! If you think of it, a baseball won't need much force to stop it, but if you have a heavy train, it will need excessive force to stop the train. The answer would be #3
I hope this answer helps!
Sorry if it doesn't make sense, as I don't know that much about physics! I am just thinking of what makes sense.
A 48-kg boy is running on a track at 6m/s . What is the boys kinetic energy?
What of the following are not examples of data
a croquet ball, after being hit by a mallet,slows down and stops. do the velocity and acceleration of the ball have the same signs
The mass of a substance was found to be 8.2 g. By using the water displacement method the volume was found to be 3.6 cm3. Calculate the density
Answer:
D= 2.3g/ml
Explanation:
a high school student ran the 100 meter dash in 12.20 seconds. find the velocity in meters per second and kilometers per hour.
Choose one of the six fitness related components that are used in gymnastics.
Agility
Speed
Reaction Time
Balance
Coordination
Power
PLEASE ANSWER 14-25 ASAP
Thanks
How does a frame of reference change the way you accurately describe the motion of an object?
The smallest part of an element that can still be identified as that element is a(n) _____.
If I spacecraft seems to be Motionless in deep space is given some type of quick push what will happen
Answer:
Will remain in motion until an external force is applied.
Explanation:
According to Newton's first law of motion, a body continues to be in state of rest or motion, until and unless an unbalanced, external force acts on it.
In deep space, there is no external force. If a motionless spacecraft uses thrusters to give a push, the spacecraft will continue to be in motion until an unbalance external force acts on it again to stop it or increase its speed or change direction.
Someone help I’m dumb
Answer:
Meet and show
Explanation:
Sound waves that start in air can move into water. This is because it is __________ that is transferred and not .
a.waves, matter
b.energy, waves
c.energy, particles
d.particles, energy
Answer:
the answer is c I got right on USA test prep
What slows down neutrons?