The velocity of an object as a function of time is given by v = (12.5t –7.2t2) + (4.3t3). What is its acceleration as a function of time?

Answers

Answer 1

Answer:

a(t) = 12.5 -10.4t + 12.9t²

Explanation:

The equation is not well written:

let the  velocity of an object as a function of time be given by

v = (12.5t - 7.2t²) + (4.3t³)

v(t) = 12.5t - 7.2t² + 4.3t³

acceleration is the  change in velocity with respect to time:

a(t) = d(v(t))/dt

a(t) = 12.5 - 2(7.2)t^2-1 + 3(4.3)t^3-1

a(t) = 12.5 -10.4t + 12.9t²

Hence the acceleration as a function of time t is expressed as;

a(t) = 12.5 -10.4t + 12.9t²


Related Questions

Calculate the rms speed of helium atoms near the surface of the Sun at a temperature of about 5200 K.

Answers

Answer: Root mean square speed, Vrms=5,694m/s

Explanation:

Root mean square speed  is defined as the  the square root of the average of the square of the velocity and given as [tex]\sqrt 3RT/M[/tex]

Where R =8.3145J/mol.k

M molar mass of the molecule in kg/mol

Helium= He=4g/mol =  0.004kg/mol

T= Temperature = 5200k

Vrms=  [tex]\sqrt 3RT/M[/tex]

=[tex]\sqrt 3 x 8.3145 x 5200/0.004[/tex]

=[tex]\sqrt32426550[/tex]

Vrms =5,694m/s

9. A 0.25-kg mass is attached to a string and swung in a vertical circle whose radius is 0.75 m. At the bottom of the circle, the mass is observed to have a speed of 10 m/s. What is the magnitude of the tension in the string at that point

Answers

Answer:

T =  33.34 N

Explanation:

Given that,

Mass attached to the spring, m = 0.25 kg

Radius of the vertical circle, r = 0.75 m

Speed of the mass, v = 10 m/s

We need to find the magnitude of the tension in the string at that point. We know that the tension in the string is equal to the centripetal force acting on it. It can be given by

[tex]T=\dfrac{mv^2}{r}\\\\T=\dfrac{0.25\times (10)^2}{0.75}\\\\T=33.34\ N[/tex]

So, the tension in the string is 33.34 N.

QUESTION 1 During the time of Pangaea most of the dry land on Earth was joined into one huge landmass that covered nearly a third of the planet's surface. The giant ocean that surrounded the continent is known as what?
QUESTION 2Pangaea existed during what geological time periods, which were times of great change?
QUESTION 3 Most distributions of rocks within Earth's crust, including minerals, fossil fuels, and energy resources, are a direct result of the history of plate motions and collisions and the corresponding changes in the configurations of the continents and ocean basins. Research and explain how plate tectonics could account for these resources exactly.

PLS ANSWeR

Answers

Answer:

Pangea existed between about 299 million years ago (at the start of the Permian Period of geological time) to about 180 million years ago (during the Jurassic Period). It remained in its fully assembled state for some 100 million years before it began to break up.

Explanation:

GOOGLE

A 80-kg person stands at rest on a scale while pulling vertically downwards on a rope that is above them. Use g = 9.80 m/s2.

What is the critical magnitude of tension that the rope is pulling on the person when the person just begins to lift off the scale?

Answers

Answer:

784 N

Explanation:

Given that a 80-kg person stands at rest on a scale while pulling vertically downwards on a rope that is above them. Use g = 9.80 m/s2.

The weight of the person = mg

The weight = 80 × 9.8

The weight = 784 N

The critical magnitude of tension that the rope is pulling on the person when the person just begins to lift off the scale will be equal to the weight of the person which is 784 N

find the current of 20 c of charge pass a piticular point in a circuit in 10 seconds

Answers

I = Q/t = 20C/10s = 2A

It takes an airplane nearly 3/4 of a mile to stop. Which law is being used?
A) Newton's first law
B) Newton's second law
C) Newton's third law
D) Law of conservation of momentum
E) Law of universal gravitation

Answers

Answer:

I think it is D

Explanation:

might be wrong

A bus accelerates from rest at 2.25 m/s2 for 12.3 seconds.

Answers

Answer:

6.15m for 12.3 seconds

Explanation:

Neil travelled 36km at a speed of 8km/h Grant travelled 48km at a speed of 10km/h whose journey was quickest​

Answers

Answer:

[tex]\boxed {\tt Neil's \ journey}[/tex]

Explanation:

We want to find who travelled faster, so we must find the time for each person's journey. Time can be found by dividing distance by speed.

Neil

[tex]t=\frac{d}{s}[/tex]

Neil travelled 36 kilometers at a speed of 8 kilometers per hour.

[tex]d= 36 \ km \\s= 8 \ km/hr[/tex]

[tex]d=\frac{36 \ km}{8 \ km/hr}[/tex]

Divide (the kilometers or "km" will cancel each other out).

[tex]d=4.5 \ hr[/tex]

Grant

[tex]t=\frac{d}{s}[/tex]

Grant travelled 48 kilometers at a speed of 10 kilometers per hour.

[tex]d= 48 \ km \\s= 10 \ km/hr[/tex]

[tex]d=\frac{48 \ km} { 10 \ km/hr}[/tex]

Divide (the kilometers or "km" will cancel each other out).  

[tex]d=4.8 \ hr[/tex]

Neil's journey took 4.5 hours and Grant's took 4.8 hours. We want to find the journey that was quicker and 4.5 is less than 4.8. So Neil's journey was quicker.

A biker pushes on the pedal and accelerates her 50 kg bike from 0 m/s to 10 m/s. What is the the impulse?

Answers

Answer:

3.7

Explanation:

How do mass and the type of material affect thermal energy transfer?

Answers

Answer:

Warmer objects have faster particles and higher temperatures. If two objects have the same mass, the object with the higher temperature has greater thermal energy. ... Heat is the transfer of thermal energy between objects that have different temperatures.

A pencil is dropped from rest from a height of 1.8 meters above the ground. How much time does it take the pencil to hit the ground?

Answers

Answer:

0.60s

Explanation:

Using the motion equation as follows:

S = ut + 1/2gt²

Where;

S = distance travelled (m)

u = initial velocity (m/s)

t = time (s)

g = acceleration due to gravity (m/s²)

Based on the information provided, S = 1.8m, u = 0m/s, t = ?

S = ut + 1/2gt²

1.8 = (0×t) + 1/2 (9.8t²)

1.8 = 0 + 4.9t²

1.8 = 4.9t²

t² = 1.8/4.9

t² = 0.3673

t = √0.3673

t = 0.6060

t = 0.60s

All of the following would motivate someone toward attaining a career goal except
A expectation of money
B. low self-esteem
C. belief in success
D. financial stability

Answers

B
......................

All would motivate someone toward attaining a career goal except low self-esteem. The correct option is B.

What is self-esteem?

We tend to feel better about ourselves and about life in general when we have healthy self-esteem.

It improves our ability to deal with life's ups and downs. When we have low self-esteem, we tend to view ourselves and our lives in a more negative and critical light.

People's choices and decisions are heavily influenced by their self-esteem. In other words, self-esteem motivates people by making it more or less likely that they will take care of themselves and reach their full potential.

Except for low self-esteem, everyone would not motivate somebody to pursue a career goal.

Thus, the correct option is B as low self esteem cannot motivate anyone for career goal.

For more details regarding self-esteem, visit:

https://brainly.com/question/28768312

#SPJ5

the whale shark is the largest of all fish and can have the mass of 3 adult elephants. suppose that a crane is lifting a whale shark into a tank for delivery to an aquarium. The crane must exert a force of 25000 N to lift the shark from rest. if the sharks acceleration equals 1.25m/s^2, what is the sharks mass ?

Answers

Answer: The whale shark is the largest type of fish in the world. Its mass can be as large as 2.00 x 10^4kg, which is the equivalent mass of three average adult elephants. Suppose a crane lifts a net with a 2.00 x 10^4kg whale shark off the ground. The net is steadily accelerated from rest over an interval of 2.5s until the net reaches a speed of 1.0 m/s.

Explanation:

A conveyor belt dumps 2500 yd3 of gravel to form a cone-shaped pile. How high could this pile of gravel be, and what could the circumference of the pile of gravel be at ground level

Answers

Answer:

Explanation:

Volume of the cone = 1/3πr²h

r is the radius

h is the height

2500 = 1/3πr²h

Criss multiply

r²h = 2500 × 3π

Rewrite the expression

r²h = 50² × 3π

Compare values

r² = 50²

r = √50²

r = 50yd

The radius is 50yards

Also;

h = 3π yards

h = 3(3.14)

h = 9.42yards

Hence the pile is 9.42yards high

Circumference of the pile = 2πr

Given r = 50

Substitute

Circumference = 2π(50)

Circumference = 100π

Circumference = 100(3.14)

Circumference = 314yards

Hence the circumference of the pile at the ground level is 314yards

hello what is momentum?

Answers

Answer:

Momentum is vector quantity and it is defined as the product of mass of the object and velocity of the object.

As it is a vector quantity it has both direction and magnitude, and momentum is written as

p = m × v

p = momentum

m = mass of the object

v = velocity

Two kinds of momentum are there and they are:

Linear MomentumAngular Momentum

If the first stage provides a thrust of 5.25 mega-newtons [MN] and the space shuttle has a mass of 4,470,000 pound-mass [lbm], what is the acceleration of the spacecraft in miles per hour squared [mi/h2]

Answers

Answer:

20,861.65 mi/h²

Explanation:

We convert  4,470,000 pound-mass [lbm], to kg. Since  2.205 lbm = 1 kg, then 4,470,000 lbm = 4,470,000 lbm × 1 kg/2.205 = 2,027,210.88 kg

Since Force , F = ma where m = mass and a = acceleration, and our force of thrust , F = 5.25 MN = 5,250,000 N and or mass = mass of spacecraft = 2,027,210.88 kg, we then find the acceleration, a.

a = F/m = 5,250,000 N/2,027,210.88 kg = 2.59 m/s².

We now convert this acceleration into miles per hour. Since 1 mile = 1609 meters and 60 × 60 s = 1 hour ⇒ 3600 s = 1 hour, Our conversion factor for meter to mile is 1 mile/1609 m and that for second to hour is 3600 s/1 hour. We square the conversion factor for the time so we have (3600 s/1 hour)².

Multiplying both conversion factors with our acceleration, we have

a = 2.59 m/s²

= 2.59 m/s² × 1 mile/1609 m × (3600 s/1 hour)²

= 33566440/1609 miles/hour²

= 20,861.65 mi/h²

= 20,861.65 miles per hour squared

PLS HELP PLS 10. This graph represents the velocity of an object over time. What is the average acceleration of the
object during the first 4 seconds?

Answers

Answer:

8 M/S

Explanation:

This is because the points match from 4 seconds (X) and it matches up to 8 (Y), therefore it went up 8 M/S in 4 seconds.

At room temperature, most metals are
Select one:
a. gas
O b. liquid
O c. an alloy
O d. solid

Answers

most metals are solid at a room temperature

In theory, if the airspeed of an airplane is doubled while in level flight, parasite drag will become

Answers

Answer:

Four times greater

Explanation:

Drag is comprised of parasite drag and induced drag. The Parasite drag is the drag that acts on an object when the said object happens to be moving through a fluid. Parasite drag is also a combination of two forms of drag. These two forms of drag are called form drag and skin friction drag.

As the speed of an airplane increases, the parasite drag also increases while the induced drag of the airplane decreases. The parasite drag of an airplane in theory becomes four times greater, when it's airspeed is doubled.

A man accelerates at 2.52 m/s2 for 3.73s. If his initial velocity was 1.75 m/s, what is his final velocity?

Answers

Answer:

Final Velocity = 11.15 m/s

Explanation:

By using the equation v = u + at we can find the answer.

v = final velocity

u = initial velocity

a = acceleration

t = time

Plug the numbers in and you get 11.15 m/s, hope this helps!

What is the weight, on Earth, of a book with a mass of 1.5 kg?
0 1,5 N
0 6,5 N
O 11.3N
0 14 7 N

Answers

Answer:

[tex]\boxed {\tt 14.7 \ Newtons}[/tex]

Explanation:

Weight is force due to gravity.

The formula for weight is:

[tex]W=m*g[/tex]

where m is the mass and g is the acceleration of gravity.

On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.

The mass of the book is 1.5 kilograms. Therefore:

[tex]m= 1.5 \ kg \\g=9.8 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]W= 1.5 \ kg *9.8 \ m/s^2[/tex]

Multiply.

[tex]W=14.7 \ kg*m/s^2[/tex]

1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.

[tex]W=14.7 \ N[/tex]

The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.

Answer:

Answer:

Explanation:

Weight is force due to gravity.

The formula for weight is:

where m is the mass and g is the acceleration of gravity.

On Earth, the acceleration due to gravity is 9.8 meters per seconds squared.

The mass of the book is 1.5 kilograms. Therefore:

Substitute the values into the formula.

Multiply.

1 kg meter per second squared is equal to 1 Newton, so our answer of 14.7 kg*m/s² is equal to 14.7 Newtons.

The weight of a 1.5 kilogram book on Earth is 14.7 Newtons.

Explanation:

I need help with this science work.

Answers

Answer:

1. Radiation

2. Conduction

3. Conduction

4. Convection

5. Convection

6. Convection

7. Radiation

I think that is correct

An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.54 m/s, and its maximum acceleration is 8.13 m/s2. How much time elapses betwen an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum

Answers

Answer:

Explanation:

The spring will move under SHM .

Maximum speed is at the middle equilibrium position . Maximum acceleration is when the particle is at one of the extreme position . So time gap between the two position is one fourth of time period of oscillation .

=  T / 4

If A be the amplitude and ω be angular velocity

ω A =  maximum velocity = 1.54

ω² A = maximum acceleration = 8.13

dividing

ω = 5.28

2π / T = 5.28

T = 1.189

T / 4 = 0.3 s.

Protons can be accelerated to speeds near the speed of light in particle accelerators. Calculate the wavelength of a proton moving at 2.90 x 108 m/s if the proton was a mass of 1.673 x 10-24 g. 2. Give the values for the quantum numbers associated with the following orbitals a) 2p b) 3s c) 5d

Answers

Answer:

1. λ = 1.4x10⁻¹⁵ m

2. a) n=2, l=1, [tex]m_{l}[/tex]= -1, 0, +1, [tex]m_{s}[/tex] = +/- (1/2)

b) n=3, l=0, [tex]m_{l}[/tex]= 0, [tex]m_{s}[/tex] = +/- (1/2)

c) n=5, l=2, [tex]m_{l}[/tex]= -2, -1, 0, +1, +2, [tex]m_{s}[/tex] = +/- (1/2)  

Explanation:

1. The proton's wavelength can be found using the Broglie equation:

[tex] \lambda = \frac{h}{mv} [/tex]

Where:

h: is the Planck's constant = 6.62x10⁻³⁴ J.s

m: is the proton's mass = 1.673x10⁻²⁴ g = 1.673x10⁻²⁷ kg

v: is the speed of the proton = 2.90x10⁸ m/s

The wavelength is:

[tex] \lambda = \frac{h}{mv} = \frac{6.62 \cdot 10^{-34} J.s}{1.673 \cdot 10 ^{-27} kg*2.90 \cdot 10^{8} m/s} = 1.4 \cdot 10^{-15} m [/tex]                    

2. a) 2p

We have:

n: principal quantum number = 2

l: angular momentum quantum number = 1 (since is "p")

[tex]m_{l}[/tex]: magnetic quantum number = {-l,... 0 ... +l}

Since l = 1 → [tex]m_{l} = -1, 0, +1[/tex]

[tex]m_{s}[/tex]: is the spin quantum number = +/- (1/2)

b) 3s:

n = 3

l = 0 (since is "s")

[tex]m_{l}[/tex] = 0

[tex]m_{s}[/tex] = +/- (1/2)

c) 5d:

n = 5

l = 2 (since is "d")

[tex]m_{l}[/tex] = -2, -1, 0, +1, +2

[tex]m_{s}[/tex] = +/- (1/2)

I hope it helps you!

Answer:

(1) The wavelength of the proton is 1.366 x 10⁻¹⁵ m

(2) 2p( l = 1, ml = -1,0,+1)

    3s( n = 3, l = 0, ml = 0)

    5d ( l = 2, ml = -2,-1,0,+1,+2)

Explanation:

Given;

mass of the proton; m = 1.673 x 10⁻²⁴ g = 1.673 x 10⁻²⁷ kg

velocity of the proton, v = 2.9 x 10⁸ m/s

The wavelength of the proton is calculated by applying De Broglie's equation;

[tex]\lambda = \frac{h}{mv}[/tex]

where;

h is Planck's constant = 6.626 x 10⁻³⁴ J/s

Substitute the given values and solve for wavelength of the proton;

[tex]\lambda = \frac{h}{mv}\\\\ \lambda = \frac{(6.626*10^{-34})}{(1.673*10^{-27})(2.9*10^8)}\\\\\lambda = 1.366 *10^{-15} \ m[/tex]

(2) the values for the quantum numbers associated with the following orbitals is given by;

n, which represents Principal Quantum number

[tex]l,[/tex] which represents Azimuthal Quantum number

[tex]m_l,[/tex] which represents Magnetic Quantum number

(a) 2p (number of orbital = 3):

[tex]l= 1\\m_l = -1,0,+1[/tex]

(b) 3s (number of orbital = 1):

[tex]n= 3\\l=0\\m_l= 0[/tex]

(c) 5d (number of orbital = 5)

[tex]l=2\\m_l = 2, -1, 0, +1, +2[/tex]

what is the answer to life and everything in the universe?

Answers

The answer to life and the universe is 42

how much tension (fm) must be supplied at the triceps to stabalize the arm against an external force (fe) of 200 N given dm

Answers

The missing part of the question is :

given dm-2 cm and de 25 cm

Answer:

The correct answer is = 2500 N

Explanation:

Given:

External force (fe) = 200 N

dm- 2 cm = 0.02 m

de = 25 cm = 0.25 m

Balancing torque about elbow

Fm*dm = Fe*de

By putting value

fm*0.02 = 200*0.25

fm= 200*0.25/0.02

fm = 50/0.02

fm = 2500 N

Thus, the correct answer is = 2500 N

If George Washington had become "King of America," our government might have become?

Answers

Answer:

Monachry

Explanation:

Hope this helped!!!

A student is standing on top of the school building and has a height of 44.1m. They kick a rock off the edge of the building with velocity of 6 m/s . how far away from the base of the building does the rock land?

Answers

At a height of 44.1m the time taken to fall is
s= 1/2 g t^2
44.1 = 1/2 x 9.8 x t^2
t = square root (9)= 3 seconds
The horizontal distance is 3x6 = 18 m away from the building base

A 5.00 gg bullet is fired horizontally into a 1.20 kgkg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.390 mm along the surface before stopping.

Answers

Answer:

V= 295.2m/s

Explanation:

Given that mass of bullet = 5.0g = 0.005kg

Mass of wooden block = 1.20kg

The coefficient of kinetic friction between block and surface = 0.20

The force of friction of the block

Fk = (μ) mg

Fk = 0.2×1.2×9.8m/s

F = 2.352N

= Force × distance

The work done = 2.352× 0.390

= 0.91728J

The initial velocity of the block can be calculated

1/2mv^2

0.5×1.2×v^2 = 0.917J

0.6V^2 = 0.917J

V^2 = 0.917J/0.6

V^2 = 1.52

V = √1.52

V = 1.23m/s

Now we shall use conservation of momentum to find the velocity of the bullet

0.005kg×v = 1.2kg × 1.23m/s

0.005v = 1.476

V= 1.476/0.005

V= 295.2m/s

I WILL MARK YOU AS BRAINLIEST IF RIGHT
What is the magnitude of the net force acting on this object? And what direction?

Answers

Answer:

20N to the North

Explanation:

the west and east forces cancel out, that leaves us with 50 to the north, and 30 to the south, the difference would be 20 N to the North

Other Questions
what are TWO beaches at opposite ends of the Arctic Ocean? BRAINLIEST TO BEST ANSWER!!!!! A store had 776 more diet sodas than regular. The ratio of diet sodas to regular sodas was 8:4. How many total sodas were there? Can somebody help me? What has you stop on green and go on red? (need answer now) discuss the conquest of the aztecs or the incas giving the spanish and the native perspectives I thought it was 120, guess not! I need help ASAP ughh HELP! Will give brainlest!Read the paragraph. Then answer the question that follows.Perhaps you wanted pizza for dinner, but were out voted by the rest of the family who wanted chill. This is similar to what happens in a community. One person has to give up a right for the goodof the group. Sometimes citizens' duties and rights conflict with each other. A good example is a public protest. People have the right meet in groups and share ideas. However, a protest candisrupt traffic or other normal activities. A city must provide extra police protection to keep people safe. Therefore, the city has the right to require permission in advance for a protest.Government must make laws to balance the rights of individuals and different groups of people.Which of the following statements best describes this paragraph? passes through (6,-3) slope: -1/3 write in slope intercept form What type of fault usually occurs because of compression? A folded B normal C strike-slip D reverse . Why do buyers and sellers voluntarily work together? manuel y yo estudiar juntos para el examen del viernesA. Deberiamo B. Debiamos C. Debemos D. Deben How do you do 3x-5y=-2x+3y=4Please show work Tay-sachs disease is an inherited genetic disorder in which cellular wastes are not properly cleared out from the cell. In turn, these wastes then accumulate to a toxic level within the cell, ultimately causing cell death.Which labeled structure would be the most likely location in which Tay-sachs disease occurs?Choose 1 answer: It is never a good idea to water house plants with salty water. The plants would most likely die depending on how much of the solution is used. How would salt water most likely effect plant cells?A. Water will enter the plant cells until the large central vacuole burstsB. Water would leave the large vacuole of the cell and the plant will droop.C. Salt crystals will form on the leaves as water evaporates on the leaf surface.D. The plant's root will filter out the right amount of salt so the plant can remain isotonic. Describe and give an example of a normal force. f.When I got there, the place was almost emptySandesh said ......change into indirect reportingplease send me fast what does the term "viable" mean Multiply.(25)(54)Enter your answer as a fraction, in the simplest form, in the box. What is the least common denominator for the fractions 5/6 and 3/8?A. 14B. 18C. 24D. 48Please show how too! GIVING OUT BRAINLLEST!!! How are photosynthesis and cellular respiration related?A. They are both performed by plants. B. They are both performed by animals. C. They both require energy from the Sun. D. They both produce glucose modules.