As part of an experiment on Mythbusters, a car was dropped from a crane 131 m (approximately 430 ft) above the
ground. If you assume there is no air resistance,
(a) how long would it take for the car to reach the ground?
(b) with what velocity will the car hit the ground?
A. The time taken for the car to reach the ground is 5.17 s
B. The velocity with which the car will hit the ground is 50.666 m/s
A. How do I determine the time taken for the car to reach the ground?
We can simply obtain the time taken for the car to reach the ground as illustrated below:
Height (h) = 131 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) = ?h = ½gt²
131 = ½ × 9.8 × t²
131 = 4.9 × t²
Divide both side by 4.9
t² = 131 / 4.9
Take the square root of both side
t = √(131/ 4.9)
t = 5.17 s
Thus, the time taken is 5.17 s
B. How do I determine the velocity with which the car will hit the ground?
The velocity with which the car will hit the ground can be obtained as follow:
Initial velocity (u) = 0 m/sTime (t) = 517 sAcceleration due to gravity (g) = 9.8 m/s²Final velocity (v) =?v = u + gt
v = 0 + (9.8 × 5.17)
v = 0 + 50.666
v = 50.666 m/s
Thus, the velocity is 50.666 m/s
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Give causes, Prevention and cure of diseases of Respiratory System.
any volunteer?
In respiratory system, Airflow from the lungs becomes obstructed due to chronic inflammatory lung disease called chronic obstructive pulmonary disease (COPD).
Respiratory system :
The network of organs and tissues that aids in breathing is known as the respiratory system.
The most common respiratory diseases are :
asthmachronic obstructive pulmonary diseasecystic fibrosislung cancertuberculosisbronchitisProblem causes respiratory system are :
tobacco smoking air pollution allergensoccupational risksPrecautions of respiratory system diseases :
Do not smoke. Improve the indoor air quality .Exercise. Do breathing exercises.regular hand washing.Do not exchange personal items.In respiratory system, Airflow from the lungs becomes obstructed due to chronic inflammatory lung disease called chronic obstructive pulmonary disease (COPD).
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When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an
object with mass 5 kg, the acceleration of the object is 15 m/s². If the same force acts upon another object whose mass is 3 kg
what is this object's
acceleration?
25 m/s² is the object's acceleration
m1a1=m2a2
m1=5kg
m2=3 kg
a1= 15 m/s²
a2=?
m1a1=m2a2
a2=m1a1/m2
a2=5×15÷3
a2= 25 m/s²
Acceleration is a vector variable that describes the rate at which an object changes its velocity.
An object is said to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second.
The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, something that is travelling at a steady speed is not accelerating.
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I JUST NEED ANSWER Mass mA rests on a smooth horizontal surface, mB hangs vertically. a) If mA =15.0 kg and mB =3.0 kg in the figure (Figure 1), determine the magnitude of the acceleration of each block. b) If initially mA is at rest 1.200 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely? c) If mB =1.0 kg , how large must mA be if the acceleration of the system is to be kept at [tex]\frac{1}{100}[/tex] g?
a) the magnitude of the acceleration of the block is a = 1.633m/s².
b) time to reach the end by the block is t = 1.1867s.
c) mass of mA if the acceleration of the system is 1/100g is mA = 99kg
a) Given,
mA = 15kg
mB = 3kg
The formula for the Tension in the cord, T =mAmBg / (mA + mB)
T = 45*9.8/18
T =24.5N
In the case of mA, we have T = mA*a
acceleration of mA, a = T/mA
a = 24.5 / 15
a = 1.633m/s²
In the case of mB, we have mB*a = mB*g -T
a = (mB*g -T)/mB
a = (3*9.8 - 24.5) /3
a = 1.633m/s²
b) Initial velocity of mA, u = 0
The distance traveled by mA, s = 1.15m
We have,
s = ut + 1/2at²
t = √(2s/a)
t = 1.1867s
c) mB = 1kg
The acceleration of the system, a = g/100
The acceleration of the system is given by the formula, a = mB*g/ (mA + mB)
mA = [mB*g/a] - mB
mA = [1*9.8*100/9.8] -1
mA = 99kg
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jkjkjkjkdd ds fs d fsd ds f ssfd ds a? A ??DS?D
Answer:
hjcyysjjJjxjcmxmmsxjvemmzxjdndmenbxhfnhcjdnuxjd
A planet has a radius of 5 000 km. The acceleration of free fall of the planet is 6.05 m s-2. Determine the (i) Mass of the planet
(II) Escape velocity of the planet
Answer:
Explanation:
Given:
R = 5 000 km = 5*10⁶ m
g = 6.05 m/s²
G = 6.67·10⁻¹¹ m³/(kg*c²)
______________
M - ?
V - ?
(i)
g = G·M /R²
M = g·R² / G = 6.05·(5·10⁶)² / 6.67·10⁻¹¹ ≈ 2.27·10²⁴ kg·
(ii)
V = √ (g·R) = √ (6.05·5*10⁶) ≈ 5 500 m/s = 5.5 km/s
Did Donald Trump influence public policy?
a vector of magnitude 20 is added to a vector of magnitude 25 the magnitude of this sum might be?
Answer:
It could be 45 if the vectors are parallel.
It could be 5 if the vectors are antiparallel.
It could be between 5 and 45 for any other arrangement of these two vectors.
Suppose they are at right angles to another then the sum is
(20^2 + 25^2)^1/2 = 32
why do some object remain hot for a long period of time and some object remain hot for short period of time ? urgent
Some object remains hot for a long period of time because they have low thermal conductivity and some object remain hot for a short period of time because they have high thermal conductivity.
What is thermal conductivity?Thermal conductivity is a property of a substance to allow heat to flow through it easily.
Thermal conductivity is a measure of how well a substance will conduct heat or not.
Objects that have high thermal conductivity gain heat easily and also lose heat easily. Hence, they get hot quickly and also get cold quickly.
Objects that have low thermal conductivity gain heat slowly and also lose heat slowly. Hence, they get hot slowly and also get cold slowly.
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The component of a velocity are 25m/s and 16m/s . determine the velocity
The resultant velocity of the two components velocity is 29.68 m/s.
What is resultant velocity?The resultant velocity of an object is the sum of its individual vector velocities. Also, the resultant velocity of an object is the single velocity that can effectively represent the two velocities in both magnitude and direction.
The resultant velocity of the two given components of velocity if calculated as follows;
V² = Vx² + Vy²
where;
Vx is the x component of the velocityVy is the y component of the velocityV² = 25² + 16²
V² = 881
V = √881
V = 29.68 m/s
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Suppose you are standing in the aisle of a bus that travels along a straight road at 100km/h and you have a pencil still above your head. Then relative to the bus the velocity of the pencil is 0km/h, and relative to the road the pencil had a horizontal velocity of
Answer: 100km/h
Explanation: This is because the road isn't moving. If you drew the roads velocity and the bus velocity you would find a 100km/h difference. Thus an object inside the bus would experience the same differential.
A jeep drives 30m/s at 60 degrees north of east for three hours across the desert.
a. Determine the component of the jeeps velocity in the north direction.
b. How far north does the keep travel?
c. Determine the component of the jeeps velocity in the east direction.
d. How far east does the keep travel?
e. What is the total displacement of the jeep?
Component of North direction , East Direction velocity is 30√3m/s , 63.88726m/s respectively. Distance of north and east direction is 21.96 m ,8.04 m respectively and Displacement is 0.
Speed = 30m/s , Ф=60 , time= 3hrs
a. √(Vₓ² +Vₙ²) = ν
√( 3600 -900 ) = ν
30√3m/s= ν
b. ED=EA + 30
30√3= EA + 30
EA= 30√3 - 30
= 30 { √3 -1 }
=30 (1.732-1)
=30 (0.732)⇒ 21.96 m
c. √(V1² +V2²) = ν
√(3600 + 481.583)⇒ 63.88726m/s
d. Component of east direction = 30-21.96
=8.04 m
e. Displacement being a scalar quantity and state function = 0
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Express the Vector A=5ON at South east east in Polar form
Answer:
Explanation:
Polar form:
ρ = A = 50
φ = - 45°; φ = - π / 4
r = ρ·cos φ
r = 50·cos (- π / 4)
Select the correct answer. What happens when a negatively charged object A is brought near a neutral object B? A. Object B gets a negative charge. B. Object B gets a positive charge. C. Object B stays neutral but becomes polarized. D. Object A gets a positive charge. E. Object A loses all its charge.
What happens when a negatively charged object A is brought near a neutral object B is that: B. Object B gets a positive charge.
The law of electrostatic forces.According to the law of electrostatic forces, unlike charges attract each other while like charges repel one another.
This ultimately implies that, objects that are having the same charges (like charges) would repel one another, and this causes a transfer of electrons (charges) to any differently charged object which comes in contact with it, through a process known as conduction.
In this context, we can reasonably and logically deduce that the negative charge of object A would induce an opposite charge (positive) on object B when a negatively charged object A is brought near a neutral object B.
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When elections are shared, molecules are produced and ? Is formed
A. A natural bond
B. An iconic compound
C. A covalent compound
D. A hydrogen bond
elections are shared, molecules are produced, the correct answer is option
C. A covalent compound
What is covalent compound?
Covalent compounds are composed of atoms that are linked via covalent bonds i.e. bonds formed by mutual sharing of electrons. This is in complete contrast to ionic compounds which are held together by ionic bonds, i.e. bonds formed by complete transfer of electrons from one atom to the other.
In the given examples we have:
Barium nitrate: Ba(NO3)2 - Ionic
Dinitrogen tetroxide: N2O4- Covalent
Strong intramolecular linkages characterise covalent substances. This is due to the atoms within covalent molecules being very securely bound together. Each molecule is certainly distinct, and the attraction between individual molecules in a covalent complex is typically modest.
To split the molecules, we simply require a minimal amount of energy. This is owing to the molecules' attraction forces as well as a lack of total electric charge. Covalent compounds are typically gaseous molecules at ambient temperature and pressure. They could be liquids with extremely low boiling points.
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A lorry pulls forward after initially being stationary, it takes the lorry 40m to reach a speed of 8m/s, calculate the lorry’s acceleration.
Answer:
0.8m/s²
Explanation:
we know,
v² = u² + 2as
here v is final velocity, u is initial velocity, a is acceleration & s is distance travelled.
8² = 0² + 2*a*40
⇒ 64 = 80a
⇒a = 64/80 = 0.8m/s²
If a 62 kg panther sits in a tree 1.3 meters above the ground, how much gravitational potential energy does it have?
If the air resistance cause the panther to lose 200 J of energy as it falls, what is the KE of the panther just before it hits the ground?
What was the velocity of the panther just before it hit the ground?
Gravitational Potential Energy , Kinetic Energy and velocity of panther just before hitting the ground will be 790.41599 J , 990.41599 J , 5.6523m/s respectively.
Mass is 62 kg with a height 1.3m .
Gravitational Potential Energy means product of mass , gravitational acceleration and height . Mathematically, GPE= mgh
GPE= 62 x 1.3 x 9.8
= 790.41599 J
Energy lost = Final energy- GPE
Final Energy Δ = 790.41599 J + 200 J
=990.41599 J
To find Velocity of panther just before hitting the ground V:-
Δ⇒mV²/2
990.41599 J= 62 V²/2
V²= {990.41599 x 2}/62
= 31.9489029
V=5.6523m/s
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staff members at the mental health center do not respond to patients who use threats, but praise patients who are polite. Which of the following psychotherapeutic approaches is being used? A. Behavioral therapy B. Cognitive therapy C. Humanistic therapy D. Psychoanalytic therapy E. Assertiveness training
In this case Behavioral therapy is being used.
What is Behavioral Therapy?
A broad phrase used to describe several forms of therapy used to address mental health conditions is behavioural therapy.
This type of treatment aims to recognize and assist in changing potentially harmful or unhealthy behaviors. It is predicated on the notion that all behaviors are taught and that they are modifiable. Treatment frequently focuses on current issues and solutions.
When staff members at the mental health center do not respond to patients who use threats, but praise patients who are polite, they try to teach politeness and other good behavior by using Behavioral therapy.
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2. A small china bowl having kinetic energy E is sliding
along a frictionless countertop when a server, with per-
fect timing, places a rice ball into the bowl as it passes
him. If the bowl and rice ball have the same mass, what
is the kinetic energy of the system thereafter? (a) 2E
(b) E (c) E/2 (d) E/4 (e) E/8
E/2 is the kinetic energy of the system thereafter.
[tex][KE_f=m2E/m/4],[=E/2][/tex]
The energy an item has as a result of motion is known as kinetic energy. An object's kinetic energy will remain constant as long as it is travelling at the same speed. The velocity and mass of an item are used to compute its kinetic energy. The kinetic energy may be significantly impacted by the square of the velocity, as seen in the equation.
The joule is the accepted measurement for kinetic energy (J). The joule serves as the universal unit of energy. While potential energy is caused by an object's location or condition, kinetic energy is caused by an object's motion. The velocity of an item plays a significant role in determining its kinetic energy.
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two solid spheres of radius R made os same steel is placed in contact and exerts a force of f1. if the radius is 3R, what will be the magnitude of gravitational force
The magnitude of the gravitational force 0f two solid sphere of radius R is 81F₁ newton.
Gravitational force :
Any two bodies' mutual attraction is directly proportional to the sum of their masses and inversely proportional to the square of their separation.
Force is given as :
F₁ = (G x m x m )/ (2r)²
To calculate gravitational force :
F₂ = G x [27m x 27m]/ [6r]²
F₂ = (G x27)² m² / 36r²
F₂ = (81 G x m²) / 4r²
F₂ = 81F₁
The magnitude of the gravitational force of two solid sphere of radius R is 81F₁ newton.
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35.
A block has a mass of 20.0 g and a volume of 40.0
cm³. What is its density
a. 2.0 g/cm³ 3
b. 0.5 g/cm
C.1.2 g/cm 3
d. 4.0 g/cm³
3
Answer:
Density 0.5 g/cm³
Explanation:
Given:
m = 20.0 g
V = 40.0 cm³
_________
Find ρ - ? Density
Density:
ρ = m / V
ρ = 20.0 / 40.0 = 0.5 g/cm³
A large water tank is completely filled with water. The tank is 3.0 m high and its surface is open. If a small hole is made on one side of the tank at a height of 0.8 m, calculate the speed with which the water comes out of the pipe.
The speed of the water through the pipe is 4.96 m/s
How to calculate the speed at which the water comes out of the pipe?Since a large water tank is completely filled with water. The tank is 3.0 m high and its surface is open. If a small hole is made on one side of the tank at a height of 0.8 m, to find the speed with which the water comes out of the pipe, we use Bernoulli's equation
What is Bernoulli's equation?Bernoulli's equation governs flows through pipes. It is given by
P₁ + ρgh₁ + 1/2ρv₁² = P₂ + ρgh₂ + 1/2ρv₂² where
P₁ = pressure at point 1,h₁ = height at point 1,v₁ = speed at point 1,P₂ = pressure at point 2,h₂ = height at point 2, andv₂ = speed at point 2Given that
P₁ = atmospheric pressure = 1.013 × 10⁵ Pa,h₁ = height of tank = 3 m,v₁ = speed at top ot tank = 0 m/s (since it is stationary there),P₂ = pressure at bottom of tank = 0 Pa,h₂ = height at hole = 0.8 m, andv₂ = speed at hole = speed of water through pipe and ρ = density of water = 1000 kg/m³So, susbstituting the values of the variables into the equation, we have
P₁ + ρgh₁ + 1/2ρv₁² = P₂ + ρgh₂ + 1/2ρv₂²
1.013 × 10⁵ Pa + 1000 kg/m³ × 9.8 m/s² × 3 m + 1/2 × 1000 kg/m³ × (0 m/s)² = 0 + 1000 kg/m³ × 9.8 m/s² × 0.8 m + 1/2 × 1000 kg/m³ × v₂²
1.013 × 10⁵ Pa + 29400kg/ms² + 0 = 0 Pa + 7840kg/ms² + 5000v²
130700 Pa = 7840kg/ms² + (5000 kg/m³)v²
130700 Pa - 7840 Pa = (5000 kg/m³)v²
122860 Pa = (5000 kg/m³)v²
Making v subject of the formula, we have
v = √(122860 Pa/5000 kg/m³)
= √(130.7/5 Pam³/kg)
= √(24.572 Pam³/kg)
= 4.96 m/s
So, the speed of the water through the pipe is 4.96 m/s
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A lever and fulcrum are used to raise a heavy rock, which has a weight of 445 N. If the lever has a mechanical advantage of 9.50, what must the input force on the lever be in order to lift the rock?
The input force on the lever of mechanical advantage 9.5, in order for it to lift a rock of 445 N is 46.84 N.
What is force?Force can be defined as the product of mass and acceleration.
To calculate the input force on the lever, we use the formula below.
Formula:
E = W/M.A......... Equation 1Where:
E = Input forceW = Weight of the rockM.A = Mechanical advantage of the leverFrom the question,
Given:
W = 445 NM.A = 9.50Substitute these values into equation 1
E = 445/9.5E = 46.84 NHence, the input force on the lever is 46.84 N.
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A rocket is launched straight up with a speed of 12 meters per second near the surface of Earth. [Neglect air friction.]
Answer:
Explanation:
H = V² / (2·g)
H = 12² / (2·9.8) ≈ 7,3 m
Answer:
By conservation of energy,
Kinetic energy of launched rocket = change in potential energy of rocket at maximum height.
→ Ig h is maximum height reached:
How do I know what base my light bulb is?
Determine if the base of a light bulb is a pin type, which has two points of contact on the base, or a screw type, which has threads all the way around the base.
What is a thread in a screw?
A screw thread, which is sometimes abbreviated as "thread," is a helical structure that converts rotational and linear force or movement. A screw thread is a ridge that is helix-shaped and wrapped around a cylinder or cone; the former is known as a straight thread and the latter as a tapered thread. The screw's thread is its most important component both as a basic machine and as a threaded fastener. The lead, or the linear distance the screw travels in one rotation, determines the mechanical advantage of a screw thread. The lead of a screw thread is often selected such that there is enough friction to prevent the conversion of linear motion to rotational, preventing the screw from slipping.
Determine if the base of a light bulb is a pin type, which has two points of contact on the base, or a screw type, which has threads all the way around the base. You can refer to the letter-number references (E12, E17, and E26) for a fuller explanation of light bulb base sizes to better comprehend a particular bulb's style and size. The first letter denotes the base's shape or form, while the number denotes the base's breadth (normally in millimeters).
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A. A toy car works by means of a stretched rubber band. What form of potential energy does the car store when the band is stretched
B. A bar magnet is lying with its north pose next to the south pole of another bar magnet. A student pulls them apart. Why do we say that the magnets' potential energy has increased? Where has the energy come from?
a) The energy that is stored in a rubber band is the elastic potential energy
b) The potential energy of the magnets increases as work is done to separate the opposite poles.
What is potential energy?We define the potential energy as the energy that is possessed by a body that is at rest. In other words, it is an energy that is possessed by a body that is not in motion. It is a result of the position of a body.
However, the potential energy can be released to do work when there is need. In this case, we have two different cases where the potential energy that have been stored in a body is released to do work.
a) In this case, the potential energy that is stored in the rubber band is the elastic potential energy. When we stretch the rubber band, this energy is now available to do work.
b) The potential energy of the magnets is said to increase when we pull them apart because more work is done to separate the opposite poles of the magnet. The energy comes from the separation of the poles of the magnets.
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PLEASE HELP DUE TODAY
Imagine you are an alien from a distant galaxy. Your home planet does not have any gravity. You have just landed on Earth and make a few observations about the planet.
1) What are some ways you might first observe gravity?
2) How might you test gravitational force?
3) How would you describe gravity to other aliens back at your home planet?
Use details to support your answer.
Answer:
1. some ways I might first observe gravity are... when I first arrive on earth I will see everything staying in one place on the ground and nothing will be floating
everywhere.
2. I might test gravitional force by jumping and seeing how fast I come down or by taking something and dropping it from above my head to the ground to see that it falls and doesn't float.
3.I woukd describe gravity to other aliens back at my home planet by #1 telling them that nothing floats, everything touches the ground and if u drop something from high above you will instantly/immediately fall back down to the ground.
You can say exactly this if you want bc I answered like how if u were gonna answer the question so your welcome
Answer:
1. some ways I might first observe gravity are... when I first arrive on earth I will see everything staying in one place on the ground and nothing will be floating
everywhere.
2. I might test gravitional force by jumping and seeing how fast I come down or by taking something and dropping it from above my head to the ground to see that it falls and doesn't float.
3.I woukd describe gravity to other aliens back at my home planet by #1 telling them that nothing floats, everything touches the ground and if u drop something from high above you will instantly/immediately fall back down to the ground.
Explanation:
if a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?
A: forces are not equal and in the opposite direction
B: forces are equal and in the same direction
C: forces are equal but opposite in direction
D: forces are not equal but in the same direction
Answer:
C: forces are equal but opposite in direction
Explanation:
If both objects are moving you know this is an elastic collision and therefore the bus and car will travel in opposite directions after the collision with equivalent forces.
if a car collides with a moving bus, the type of relationship exists between the force of the car and the force of the bus is the forces are equal but opposite in direction.
What are the types of force ?Force can be defined as pushing or pulling of any object resulting from the object’s interaction or movement, without force the objects can not be moved, can be stopped or change the direction.
Force is a quantitative interaction between two physical bodies, means an object and its environment, there are different types of forces in nature.
If an object in its moving state will be either static or motion, the position of the object will only be changed if it is pushed or pulled and The external push or pull upon the object called as Force.
The contact force types are the force that occurs when we apply some effort on an object such as Spring Force, Applied Force, Air Resistance Force, Normal Force, Tension Force, Frictional Force
Non-Contact forces are another type of forces occur from a distance such as Electromagnetic Force, Gravitational Force, Nuclear Force
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rocket launch checklist
Answer:
Checklist 1: What to Bring...Your Rocket Launch Pad & Ignition System Rocket MotorsIgnitersRecovery WaddingAltitude Tracker Your Field Box Also, it would be a good idea for the group to bring A folding card table or picnic table for rocket prep Trash Bags: try to leave your launch field cleaner than you found it. First Aid Kit: be prepared. A fly or tarp set up as a lean-to to protect the rocket prep area from the wind and/or sun.
A dog is running at 7.2 m/s then comes to a complete stop after sliding for 14.4 m. What is the dog's acceleration?
The dog's acceleration :- -1.8 [tex]m/s^{2}[/tex] (deacceleration).
given data:-initial velocity u=7.2 m/s
final velocity v= 0
displacement s= 14.4m
v² = u² + 2as
a= -(7.2*7.2)/2*14.4
acceleration a= -1.8 [tex]m/s^{2}[/tex]
The calculation of acceleration?The rate at which velocity changes over a predetermined amount of time is called acceleration. By dividing the velocity change by the time change, you can calculate acceleration.
Can velocity and acceleration be equal?As time passes, the velocity is shifting. Actually, every second of time sees a change in velocity of 10 m/s, which is a constant. When an object's velocity changes, it is said to be accelerating; this implies that the object has an acceleration.
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