A position of a particle moving on an x axis is given by x=7•4 + 9•2t - 2•1 t^3, with x in meters and t in seconds. what is its velocity at t=3•5s? is the velocity,or is it Continuously changing?​

Answers

Answer 1

Answer:

The velocity at that time would be [tex](-67.975\; \rm s)[/tex]. The velocity of this particle is continuously changing.

Explanation:

Differentiate the expression for position [tex]x[/tex] with respect to time [tex]t[/tex] to find an expression for velocity.

[tex]\begin{aligned}v(t) &= \frac{d}{dt}[x(t)] \\ &= \frac{d}{dt} \left[ 7.4 + 9.2\, t - 2.1\, t^{3}\right]\\ &= 9.2 - 6.3\, t^{2}\end{aligned}[/tex].

Hence, at [tex]t = 3.5\; \rm s[/tex], velocity would be [tex]v(3.5) = 9.2 - 6.3 \times (3.5)^{2} = -67.975\; \rm m[/tex].

Since velocity [tex]v(t)[/tex] changes with time [tex]t[/tex], the velocity of this particle is continuously changing.


Related Questions

If a car starts from rest and attains a velocity of 10m/square in 5 secondscalculate the accerleration​

Answers

Explanation:

Acceleration = Velocity / Time

Acceleration = 10 / 5

Acceleration = 2m/s ²

What is the voltage of the power source if a motor with a resistance of 20 2 draws a
current of 1.5 A?

Answers

Answer:

190v I believe

hope this helped a little and if it did pls mark brainiest :)

when a .... cause an object to move through a ...., the .... on the object

Answers

Explanation:

velocity - the speed with a direction. Thus, inertia could be redefined as follows: Inertia: tendency of an object to resist changes in its velocity. ... Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

An athlete runs four laps of a 400 m track. What is the athlete's total displacement?​

Answers

Answer:

0 [tex]\checkmark[/tex]

Explanation:

Even if the athelete runs four laps of a 400 m track, its displacement will be 0 because the displacement is the shortest distance from its to final position. And, here the final and initial position is same since he comes to its initial position after covering certain distance. So, displacement is 0.

Two forces whose resultant is 100N are at right angle to eachother. if one of them makes an angle of 30° with the resultant, determine its magnitude​

Answers

Let F₁ and F₂ denote the two forces, and R the resultant force.

F₁ and F₂ point perpendicularly to one another, so their dot product is

F₁ F₂ = 0

We're given that one of these vectors, say F₁, makes an angle with R of 30°, so that

F₁ • R = ||F₁|| ||R|| cos(30°)

But we also have

F₁ • R = F₁ • (F₁ + F₂) = (F₁ F₁) + (F₁ F₂) = F₁ F₁ = ||F₁||²

So, knowing that ||R|| = 100 N, we get that

(100 N) ||F₁|| cos(30°) = ||F₁||²

(100 N) cos(30°) = ||F₁||

||F₁|| ≈ 86.6 N

(And the same would be true for F₂.)

What unit is used in MKS system and FPS system​

Answers

The "second" is the base unit of time in both systems.

Exercise b) 1) Fill in the blanks with the appropriate word: a) The pressure exerted by the air in atmosphere is called b) Pressure is the applied per unit area, c) The pressure ........as the depth of liquid increases. d) The SI unit of density is Az object fisats on water if the ...of the object is leva​

Answers

Answer:

atmospheric pressure

b)

c)increases

d) ....

what you filling your heart with
oxygen and blood

Answers

Answer:

Explanation:

                    The right side of your heart receives oxygen-poor blood from your veins and pumps it to your lungs, where it picks up oxygen and gets rid of carbon dioxide. The left side of your heart receives oxygen-rich blood from your lungs and pumps it through your arteries to the rest of your body.

        #I AM ILLITERATE

Ben works as a medical assistant. He needs to take a patient's vitals, but the patient is refusing to cooperate. He hasn't experienced this before, so he decides to ask a nurse for advice on how to handle it. This is making a decision by O a) delegation. O b) command. c) vote. O d) consult. Question

9. Which of the following is NOT a recommendation to help you succeed in this course?
Consistently and actively work in the course on a daily basis.
Wait until the end of the semester to complete all work.
Complete all assignments in a timely manner.
Contact your instructor if you have questions.

Answers

Answer:

Wait until the end of the semester to complete all work.

Explanation:

this is the obvious answer.

please mark me brainliest

Answer:

Wait until the end of the semester to complete all work

1.What is laser?
2.List the uses of laser in everyday life

Answers

Laser means Light Amplication by Stimulated Emission of Radiation.

Uses of laser

DNA sequencing instrument

Cutting and welding materials

Semiconducting chip manufacturing

Military devices

IF YOU LIKE MY ANSWER MARK AS BRAINLIEST

A cyclist goes round a circular path of circumference 343 m in s. The angle made by him, with the vertical is
WITH STEPS PLZ

Answers

you need the number of seconds to calculate the distance. I'm assuming that the seconds were written in the question but you forgot to write the here, you can calculate the distance then and find the exact point where the cyclist stopped since you have the circumference. then you can find the angle (after finding the distance he cycled) by subtracting it from 360 since the circular path will have an angle of 360 degrees.

Although your question lacks some data A general answer is provided :

The angle made vertically  = 360° - x°

where x = angle at which the the cyclist stopped

and circumference of the circular path = Total Distance travelled by the cyclist

First step : determine the distance travelled by the cyclist vertically

circumference = 2*π*r

343 = 2*π * r

∴ r = 343 / ( 2π ) = 54.59

therefore distance travelled by the cyclist vertically = 54.59 * 2 = 109.18 m

Given that the time travelled is missing

assuming the angle to the distance travelled by the cyclist before it stopped vertically = 360° - x°  

This is because the Total angle of a circular path = 360°

Learn more about circular paths : https://brainly.com/question/24210487

Potassium’s atomic number is 19, and its atomic mass is approximately 39. How many neutrons does potassium have?

19

58

20

39

Answers

Answer:

20

Explanation:

Atomic number is same as the number of protons of an atom and atomic mass is equal to the sum of number of protons and number of neutrons of an atom.

Atomic number = 19

So, number of protons (p) = 19

Atomic mass = 39

So, sum of number of neutrons and number of protons (n + p) = 39

Number of neutons (n)

= (n + p) - p

= 39 - 19

= 20

Potassium’s atomic number is 19, and its atomic mass is approximately 39, then Potassium would have 20 neutrons present inside its nucleus, therefore the correct answer is option C.

What is the atomic number?

The total number of protons present in an atom is known as the atomic number of that atom. The atomic number has no correlation either with the number of neutrons or the number of electrons present inside an atom.

While the atomic mass of an atom is the sum of the total number of protons and the number of neutrons present inside of any atom.

atomic number= total number of protons

atomic mass = total number of protons + total number of the neutrons

As given in the problem Potassium’s atomic number is 19, this means Potassium has 19 protons

Potassium has an atomic mass of about 39

39 = total number of protons + total number of the neutrons

39 = 19 +  total number of the neutrons

total number of the neutrons = 39-19

                                                 =20

Since potassium has an atomic mass of about 39 and an atomic number of 19, it would have 20 neutrons in its nucleus. Option C is the right response.

Learn more about the atomic number from here

brainly.com/question/14190064

#SPJ5

Suppose that people living near a particular​ high-voltage power line have a higher incidence of cancer than people living farther from the power line. Can you conclude that the​ high-voltage power line is the cause of the elevated cancer​ rate? If​ not, what other explanations might there be for​ it? What other types of research would you like to see before you conclude that​ high-voltage power lines cause​ cancer?

Answers

Complete Question

Complete Question is attached below

Answer:

a)Option B

b)Option B

Explanation:

a)

Without any confirmation it will be utterly wrong to conclude that high power voltage is the reason for the elevated cancer cases

Therefore

Option B

b)

The High Concentration of cells volume in a part of the Body is what causes Cancer

Therefore

Option B

D 2. Which of the following is an example of a specific goal?
O I want to lose weight.
I want to get stronger.
O I want to be able to walk one mile in 15 minutes.
I want to improve my speed.

Answers

I want to improve my speed

Answer:

D

Explanation:

why is the fuse used in a circuit called safety fuse?

Answers

Answer:

The maximum current which can flow through a fuse without melting it, is called its rating. ... If current higher than 8 A flows through the fuse, it would melt and circuit gets broken. ... Hence, fuse acts as a safety device

Answer:

The guy above me is right

Explanation:

Using a table for standard reduction potentials, calculate the minimum voltage needed to electrolyze potassium chloride into its elements (K(s) and Cl2(g)). Question 7 options: A) –1.57 V B) –4.29 V C) 1.57 V D) 4.29 V

Answers

Answer:  B  –4.29 V

Explanation:

I just took the quiz and I got a hundred percent make sure you pick B!!

Answer:

B  –4.29 V ;)

Explanation:

If the force on a spring is 1 N and it stretched 0.5 m, what is the spring
constant?
A.4 N/m
B.0.2 N/m
C.2 N/m
D. 0.4 N/m

Answers

Force=F=1NStretched=x=0.5m

We know

[tex]\boxed{\sf Spring\:constant(K)=\dfrac{F}{x}}[/tex]

[tex]\\ \sf\longmapsto K=\dfrac{1}{0.5}[/tex]

[tex]\\ \sf\longmapsto K=2N/m[/tex]

what are the examples of Inertia of motion​

Answers

Seat belts tighten in a car when it stops quickly.

Men in space find it more difficult to stop moving because of a lack of gravity acting against them.

When playing football, a player is tackled, and his head hits the ground.

EXAMPLES ARE GIVEN BELOW:

HOPE IT'S HELPFUL FOR U MATE

I need help with this

Answers

Answer:

D, B, A, E, C

Explanation:

KE = m*g*h

PE = (1/2)m*v²

1. d

2. b

3. a

4. e

5. c

Classical mechanics (Forces) focuses on studying …
Electricity
Motion of Objects
Living Systems
Atomic Structure

Answers

Answer:

Motion of Objects

Explanation:

Motion of Objects

Both Static and Dynamic Forces.

4. When setting goals, you should do everything EXCEPT which of the following?
Take into account your current level of activity.
Ask all of your friends what they think your goals should be..
Set a time limit.
Be realistic.

Answers

Ask all of your friends what your goals should be. These are your goals, and they are for you only. They shouldn’t be what other people think they should be, they should be what you want them to be.

if the radius of a coin is 1 cm then calculate its area.​

Answers

Answer:

3.14*1²

3.14 cm²

I hope this will help

Answer:

3.14 cm squared

Explanation:

I hope this will help.

If a force of 1250 N acts on an area of 25 metres squared, what will be the pressure acting on the surface? Show your working as well.

Answers

Answer: 50 Pa

Explanation:

Pressure = Force/Area

Pressure = N/m^2

Pressure = 1250/25

Pressure = 50

Pressure = 50 Pa

please click thanks and mark brainliest if you like :)

Answer:

50 pascal

Explanation:

Force=1250N

Area=25m^2 [ pressure=force/area]

P=F/A

1250/25=50

What volume of silver metal will have a mass of exactly 2500.0 g? The density of silver is 10.50 g/cm3.

*Include your units!

Round your answer to the nearest tenth.

Answers

Explanation:

The density of silver is 10.5g/cm3

=2500.0g/10.5g/cm3

=238.09cm3

238.1cm3 to nearest tenth.

I hope my answer helps. Please mark as brainliest.

Which statement correctly compares the number of protons and electrons in atoms of rubidium (Rb) and calcium (Ca)?

(1 point)

Rubidium has fewer protons and fewer electrons than calcium.
Rubidium has fewer protons and more electrons than calcium.
Rubidium has more protons and fewer electrons than calcium.
Rubidium has more protons and more electrons than calcium.

Answers

Answer

#1. number of valence electrons

#2. oxygen

#3. Rubidium has more protons and more electrons than calcium.

#4. 20

#5. helium (he)

Explanation:

Answer:

Rubidium has more protons and more electrons than calcium.

Explanation:

for connexus honors chemistry unit 3 lesson 3 quick check :)

What is the symbol SI unit of time?

Answers

Answer:

second is the SI unit of time

Two difference between thrust and upthrust .

Answers

Upthrust is the upward force exerted by fluids on the surface of an object immersed in fluids. Thrust:- It is the force acting perpendicular to the surface. Upthrust:- It is the upward force exerted by the fluid on the surface of an object immersed in liquid.

I hope it's help you

1. Which of the following are good cross-training workouts for walking
Swimming
Biking
Basketball
All of the above

Answers

Answer:

All of the above is the answer

when an apple falls towards the earth the earth moves up to meet the apple. Is it true? If yes, why is the earth motion not noticeable ?

Answers

Answer:

Explanation:

The apple also exerts an equal and opposite force on the earth but earth does not move because the mass of apple is very small,due to which the gravitational force produces a large acceleration in it (a=F/m) and we can see the apple falling towards the earth but the mass of earth is very large,the same gravitational .

A car is moving with the velocity of 90km/h. If the car come to rest after 10 seconds. Calculate the final velocity and distance covered by the car within that time.

plz wirte the full formula ​

Answers

Answer:

you can learn from here

https://www.toppr.com/ask/en-bd/question/a-car-is-moving-with-a-velocity-of-10-ms-the-driver-sees-a-wall/

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