If the displacement of a particle is given by the formula S = 3t^3 - 20t^2 + 40t. Find (i) the displacement after 3 seconds (ii) the formula for the velocity at any time t (iii) the value of t when the particle is not moving (iv) the initial velocity of the particle (v) the formula for the acceleration at any time t (vi) the initial acceleration of the particle.​

Answers

Answer 1

Answer:

At t = 0   S = 0

S = 3 * 3^3 - 20 * 3^2 + 40 * 3    after 3 sec

S = 3 * 27 - 20 * 9 + 120 = 21 after 3 sec

v = ds/dt = 9 * t^2 - 40 * t + 40 = 9 * 9 - 40 * 3  + 40 = 1

ds/dt = 9 t^2 - 40 t + 40      v at any time

If zero = 9 t^2 - 40 t + 40  then you need to solve the quadratic for t

a = ds^2 / dt^2 = dv /dt = 18 t - 40    for the acceleration at any time

At t = zero (the initial acceleration) a = -40


Related Questions

Si lo deseas cada estudiante puede hablar algún otro aspecto de la pandemia que les parezca importante e interesante

Answers

Answer:

Give them assignment on the pandemic.

Explanation:

If you wish, each student can talk about some other aspect of the pandemic that seems important and interesting then you have to give them the assignment of presentation and give reward on them. The students will definitely make the presentation on other aspects of the pandemic and when they present it in the class it enhance the knowledge of other students as well.

10) Which would be the most appropriate description of how energy is distributed when a torch is turned on?
A 70% light energy, 30% thermal energy
B 70% thermal energy, 30% electrical energy
C 65% light energy, 30% thermal energy
D 40% thermal energy, 55% light energy


Answers

I believe it’s A as in apple

what are the comparisons and contrast of adaptation and natural selection? ASAP!!!!!!

Answers

Answer:

Natural selection is a mechanism, or cause, of evolution.

Explanation:

Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations.

A person runs 2 laps around a 400 meter track and stops where they initially
began running. It took this person 3 minutes and 18 seconds to complete this
run. What is this persons average velocity?
A:4.04 m/s
B:2.02 m/s
c:0 m/s

Answers

The runner's total distance covered was 800 meters.  Her displacement (straight-line distance between start-point and end-point) was zero.

Her average speed = (distance)/(time) = 4.04 m/s

Her average velocity = (displacement) / (time) = zero (choice - c)

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

The third one I think

A tea kettle is used to boil liquid water. When the water is boiling, a whistling sound comes from the kettle. Which provides the best explanation for the sound?

A. The liquid particles are sliding past each other slowly as the temperature increases
B. The gas particles are being pushed below the water at the bottom of the kettle.
C. The gas particles spreading out in all directions are being pushed quickly through a small opening.
D. The liquid particles are moving very quickly to the center of the kettle and pushing any gas particles out of the way.

Answers

Answer:

C would be the correct answer

Answer:

It has to have a whistle device on the spout. When boiling occurs, water vapour displaces air above the water which has to escape through the whistle hence activating the required vibrations. Thereafter, the continuing supply of steam does the same job until the cook involves turns off the heat. The whistle is not made to exacting scientific standards and there is no doubt a range of pressures above which it will work it. It would be interesting to know how you observed the water boiling without using a transparent kettle.

Explanation:

hope it helps

A 86g ball is dropped vertically to the floor from a height of 2.87m and bounces to a height of 1.28. What is the magnitude of the impulse received by the ball from the floor during the bounce

Answers

Answer:

The impulse received by the ball from the floor during the bounce is approximately 1.11329438 m·kg/s

Explanation:

The given mass of the ball, m = 86 g = 0.089 kg

The height from which the ball is dropped, H = 2.87 m

The height to which the ball bounces, h = 1.28 m

Mathematically, we have;

Δp = F·Δt

Where;

Δp = The change in momentum = m·Δv

F = The applied force

Δt = The time of contact with the force

The velocity of the ball just before it touches the ground, v₁ = -√(2·g·H)

The velocity with which the ball leaves, v₂ = √(2·g·h)

The change in momentum, Δp = m·(v₂ - v₁)

∴ Δp = m·(√(2·g·h) - (-√(2·g·H))) = m·(√(2·g·h) +√(2·g·H) )

The impulse, Δp, received by the ball from the floor during the bounce is given as follows;

Δp = 0.089 kg × (√(2 × 9.8 m/s² × 1.28 m) + √(2 × 9.8 m/s² × 2.87 m)) ≈ 1.11329438 m·kg/s

The impulse received by the ball from the floor during the bounce, Δp ≈ 1.11329438 m·kg/s

1. What physical benefits can a person gain from playing floor hockey?​

Answers

Answer:

strengthens ur muscles

The type of rod I should use to make a permanent magnet???

Answers

Explanation:

Permanent magnets are also made of ceramic, iron, cobalt, nickel, gadolinium and neodymium. With that said, steel is a relatively inexpensive and widely available material, even more so than the aforementioned materials

A woman runs 4.5 miles south and 3,7 miles east. What is the angle of the displacement of the resultant?

Answers

Answer:

51°

Explanation:

Please see attached photo for explanation.

In the diagram, R is the resultant and θ is the angle of the displacement of the resultant.

The value of θ can be obtained as follow:

Angle θ =?

Opposite = 4.5 miles

Adjacent = 3.7 miles

Using Tan ratio:

Tan θ = Opposite / Adjacent

Tan θ = 4.5 / 3.7

Tan θ = 1.2162

Take the inverse of Tan

θ = Tan¯¹ 1.2162

θ ≈ 51°

Thus, the angle of the displacement of the resultant is 51°

Un cuerpo de 480 g de masa es atraído con una fuerza de 3.9 E-6 N por otro cuerpo de 196 g de masa. Calcula la distancia a la que se encuentran.

Answers

Answer:

La distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

Explanation:

Asumamos que ambos cuerpos son partículas, la fuerza de atracción ([tex]F[/tex]), en newtons, entre ambos cuerpos se define mediante la Ley de Newton de la Gravitación Universal, cuya ecuación es:

[tex]F = G \cdot \frac{m_{1}\cdot m_{2}}{r^{2}}[/tex] (1)

Donde:

[tex]G[/tex] - Constante de la gravitación universal, en metros cúbicos por kilogramo-segundo cuadrado.

[tex]m_{1}, m_{2}[/tex] - Masas de los cuerpos, en kilogramos.

[tex]r[/tex] - Distancia entre los cuerpos, en metros.

Si sabemos que [tex]G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}[/tex], [tex]m_{1} = 0.48\,kg[/tex], [tex]m_{2} = 0.196\,kg[/tex] y [tex]F = 3.9\times 10^{-6}\,N[/tex], entonces la distancia entre los dos cuerpos es:

[tex]r = \sqrt{\frac{G\cdot m_{1}\cdot m_{2}}{F} }[/tex]

[tex]r \approx 1.269\times 10^{-3}\,m[/tex]

Es decir, la distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

Which carries information by copying an original sound?
O analog signal
O digital signal
O volume
O frequency

Answers

Answer:

A. Analog signal

Explanation:

:)

4. Un móvil lleva una velocidad de 75 m/s, en dicho momento aplica los frenos durante tiempo de 15 segundos hasta detenerse. ¿cuál será la aceleración del frenado? ¿cuál es la distancia que recorre hasta detenerse?

Answers

Answer:

a = 5 m / s²   and    x = 562.5 m

Explanation:

Let's apply the kinematics relations

          v = v₀ + at

          v² = v₀² + 2a x

In this case, as the car stops, its final speed is zero (v = 0) and the acceleration must be opposite to the speed, that is, negative

           0 = v₀ - a t

           a = v₀ / t

let's calculate

           a = 75/15

           a = 5 m / s²

let's look for the distance

           0 = v₀² - 2a x

           x = v₀² / 2a

let's calculate

           x = [tex]\frac{75^2}{2 \ 5 }[/tex]

           x = 562.5 m

Calcular la aceleración que produce una fuerza de 40 N sobre un cuerpo con 88 Kg de masa. Expresar el resultado en m⁄s^2 *

Answers

Answer:

a = 0.45 m/s²

Explanation:

The given question is ''Calculate the acceleration that produces a force of 40 N on a body with 88 kg of mass".

Given that,

Force, F = 40 N

Mass of the body, m = 88 kg

The net force acting on the body is given by :

F = ma

Where

a is the acceleration of the body

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{40\ N}{88\ kg}\\\\a=0.45\ m/s^2[/tex]

So, the required acceleration is 0.45 m/s².

Which quantity is measured in newton seconds (Ns)?
impulse

moment

power

work done

Answers

Answer:

Impulse

Explanation:

Impulse is force times time

120 J of work was done to lift an object 6 m above
the ground. How much force was applied to this
object and what was its mass?
Select one:
120 N, 5 kg
O
20 N, 3.04 kg
O
720 N, 12.3 kg
O 20 N, 2.04 kg

Answers

Answer:

The last option, 20 N and 2.04 kg

Explanation:

work = (force)(distance)

work = 120 joules

distance: 6 m

rearrange to find force:

120=(6)F

F= 120/6 = 20 Newtons.

Assuming its lifted from Earth's surface, the force of gravity will be 9.81 m/s^2. Let's find mass:

F=mg

m=F/g

m=(20)/(9.81)= 2.038 kg

What causes a snowflake to melt on your tongue?​

Answers

Answer:

thermal energy

Explanation:

heat transfers into it causing it to physically change

Answer:

A pesar de las diferencias entre cada copo de nieve y las grandes familias de copos que existen, estos todavía tienen una base hexagonal. Esta estructura hexagonal se explica por la forma en que las moléculas de agua se unen para formar un cristal

Despite the differences between each snowflake and the large families of flakes that exist, they still have a hexagonal base. This hexagonal structure is explained by the way in which water molecules come together to form a crystal.

Explanation:

mn

tips for achieving good grades at science exam? i would be very thankful for you!!​

Answers

Make sure you study, and ask ur teacher for extra recourses

Q. Why do molecules of an object moving faster when dropped to the ground?
(can you give a good example, if you aren't able to explain in words).

spam & you'll be reported

Answers

Answer:

the cause of variation gravity

Answer:

Heavier Objects Don't Hit the Ground First

"Influence" between bodies is reduced as the bodies are: brought closer moved farther apart increased in charge held stationary

Answers

Answer:

moved farther apart

Explanation:

Gravity is considered to be a universal force of attraction which acts between all objects that has both mass, energy and occupy space. Therefore, it acts in such a way as to bring objects together.

Additionally, the gravity of earth makes it possible for all physical objects to possess weight.

"Influence" between bodies is reduced as the bodies are moved farther apart based on Newton's law of universal gravitation.

Newton's law of universal gravitation states that the force of attraction (gravity) acting between the Earth and all physical objects is directly proportional to the Earth's mass, directly proportional to the physical object's mass and inversely proportional to the square of the distance separating the Earth's center and that physical object.

What property of a wave increases as the wave's energy increases?
frequency
pitch
trough
amplitude

Answers

Answer:

Frequency.

Explanation:

More energy = shorter wavelength = greater frequency

help help help help help

Answers

Answer:

It is cold at saturn and far away

Explanation:

Ice is made of water so why does it float?

Answers

Answer:Its a Soild

Explanation:

What is the dominant season in the low latitude belts? Question 6 options: Fall Spring Summer Winter

Answers

Answer:

dominant season is SUMMER

Explanation:

Latitude on the planet is the angle measurement from the so-called equator or midpoint of the Earth's sphere, therefore latitude values ​​can range from 0º to 90º.

Low latitude values, values ​​close to zero degrees, are very close to the central part of the planet, so when you plan to tilt in or orbit the Sun, this part is almost fixed, therefore the solar irradiation is very constant. throughout the year, consequently the dominant season is SUMMER

Do you believe that there should be no age limit in ballroom dancing?​

Answers

From my research, the most conducive age to begin serious training is around ages 7-9. Prior to this children should be acquiring movement and co-ordination skills in age-appropriate activities that might include dance. So if you or your child wants to start dance lessons, there is no better time to start then today!

Answer:

There should be a certain age limit Idon't know

Explanation:

Explain why you can see a phone underneath a glass bell jar, but you cannot hear
it when it is ringing?

Answers

Answer: Any sound cannot be heard through a glass bell jar because a vacuum is created in the jar and sound cannot travel without a medium like gases, solids or liquids

Answer:

the glass hids it and the vibration of the phone is the way you hear it

A trombone acts as if it were an
open pipe of length 2.96 m. What
is the frequency of its fourth
harmonic?
(Speed of sound
343 m/s)
(Unit = Hz)

Answers

Answer:231.756757

Explanation:

(4)(343/2.96(2)= 231.756757

Answer:

The answer is 231.757 trust

Explanation:

star

DO NOT COMMENT IF YOU DO NOT KNOW, NEED QUICK.

You have a 10 volt parallel circuit, with 2 resistors on it. What is the
voltage across the first resistor? Across the second?


Answers

Answer:

Both 10V

Explanation:

Every resistors on a parallel circuit will share same voltage.

10 Volt each resistor

Assume ω = 47.0 rad/s . What is the magnitude v of the velocity of the particle in m/s?

Answers

That completely depends on the radius of the particle's path.  

That is, the radius of the wheel the particle is riding on, and exactly where on the wheel the particle is riding.

This information is not included in the question, so no answer is possible.

Which represents an endothermic reaction? wood burning in a fire splitting a gas molecule using a heat pack on an injury TNT exploding

Answers

Answer:

b

Explanation:

The statement which represents an endothermic reaction is using a heat pack on an injury.

What is an endothermic reaction?

An endothermic reaction is a type of chemical reaction that absorbs heat energy from the surroundings. In other words, in an endothermic reaction, energy is taken in from the environment as the reaction proceeds, resulting in a decrease in the temperature of the surroundings.

Endothermic reactions require an input of energy to occur, usually in the form of heat, light, or electricity. This energy is used to break the bonds between atoms or molecules in the reactants, and the products formed have higher potential energy than the reactants. The excess energy is absorbed from the surroundings to compensate for this increase in potential energy.

Examples of endothermic reactions include melting ice, evaporating water, and baking soda reacting with vinegar to produce carbon dioxide gas. These reactions require an input of energy to occur and absorb heat from the surroundings, resulting in a decrease in the temperature of the surrounding environment.

Here in this question,

Endothermic reactions absorb heat energy from the surroundings, meaning that they require energy input to proceed. In the case of using a heat pack on an injury, energy is required to activate the reaction that produces heat and provides warmth to the injured area. This process absorbs heat from the environment, making it an endothermic reaction.

In contrast, wood burning in a fire and TNT exploding are exothermic reactions because they release heat energy into the surroundings, which means that they produce heat as a byproduct. The splitting of a gas molecule is not an endothermic or exothermic reaction, but rather a chemical reaction that can be either endothermic or exothermic depending on the specific reaction and conditions involved.

Therefore, The correct answer is using a heat pack on an injury.

To find more on  Exo and Endo thermic  reaction​ click :

https://brainly.com/question/13892433

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