Its velocity changes at different time intervals. Calculate the instantaneous
velocity at time 3 sec. The distance is given by equation 2t² – 4t

Answers

Answer 1

Answer:

The instantaneous velocity at time 3 sec is 8 (no units specified).

Explanation:

Instantaneous Velocity

The instantaneous velocity of an object is the derivative of the distance function with respect to time.

The distance is given by the function:

[tex]x(t)=2t^2 - 4t[/tex]

Now we compute the instantaneous velocity function by taking the derivative of x:

[tex]\displaystyle v(t) = \frac{dx}{dt}[/tex]

[tex]\displaystyle v(t) = \frac{d(2t^2 - 4t)}{dt}[/tex]

[tex]v(t) =4t -4[/tex]

Now evaluate the velocity for t=3 sec:

[tex]v(3) =4(3) -4[/tex]

[tex]v(3) =12 -4 = 8[/tex]

The instantaneous velocity at time 3 sec is 8 (no units specified).


Related Questions

Which change of state is shown in the model?

-condensation
-deposition
-boiling
-freezing

Answers

Answer: what’s the model

Explanation:

it's B hope this help's

After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?

Answers

Answer:

(4,5) and (8,10) what is the slope

Explanation:

After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?

Two hockey players are about to collide on the ice. One player has a mass of
66 kg and is traveling at 1.5 m/s north. The other has a mass of 75 kg and is
traveling at 1.2 m/s south. The system consists of the two tlockey players.
According to the law of conservation of momentum, what is the total
momentum of the system after they collide? Assume the collision is an
elastic collision.
A. 189 kg-m/s south
O B. 9 kg-m/s north
C. 189 kg.m/s north
D. 9 kg m/s south

Answers

Answer:

Option B: 9 kg.m/s North

Explanation:

We are told;

One player has a mass of

66 kg and is traveling at 1.5 m/s north.

Thus, velocity is positive since it's acting in the positive direction upwards.

Thus;

m1 = 66 kg

v1 = 1.5 m/s

Also, The other has a mass of 75 kg and is traveling at 1.2 m/s south.

Since it's traveling south, it means that velocity is negative. Thus;

m2 = 75 kg

v2 = -1.2 m/s

From conservation of mass, total momentum is;

m_total = m1•v1 + m2•v2

m_total = (66 × 1.5) + (75 × -1.2)

m_total = 99 - 90

m_total = 9 kg.m/s

This is positive and thus it will be in the direction of the north.

Answer:

9 kg-m/s north

Explanation:

True or False. A compound is formed when two or more elements are combined to make a
new substance with its own properties.


Anyone?

Answers

Answer:

I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.

Answer: correct

Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.

how can voltage be produced by magnetism and motion?​

Answers

Answer:

Electromagnetic Induction by a Moving Magnet

Then the action of moving a coil or loop of wire through a magnetic field induces a voltage in the coil with the magnitude of this induced voltage being proportional to the speed or velocity of the movement.

Explanation:

if an object is moving with a velocity of 25m/s, an acceleration of 5m/s and has a travel time of 5s, what is the final velocity of the object?​

Answers

V = at + V0

where v0 is the initial speed, a is the acceleration and t is the time.

So:

v = 5m/s^2*5s + 25m/s = 50 m/s

what is a factor that scientists use to classify orders of soil?

Answers

climate, plant type, soil composition.

A coiled telephone cord forms a spiral with 65.0 turns, a diameter of 1.30 cm, and an unstretched length of 65.5 cm. Determine the inductance of one conductor in the unstretched cord.

Answers

Answer:

[tex]L=1.07\ \mu H[/tex]

Explanation:

Given that,

No of turns in a coiled telephone cord is 65

The diameter of the coil, d = 1.3 cm = 0.013 m

Radius, r = 0.0065 m

Unstretched length of the coil, l = 65.5 cm = 0.655 m

We need to find the inductance of one conductor in the unstretched cord. The formula for the inductance is given by :

[tex]L=\dfrac{\mu_oN^2 A}{l}\\\\L=\dfrac{4\pi \times 10^{-7}\times (65)^2\times \pi (0.0065)^2}{0.655 }\\\\L=1.07\times 10^{-6}\ H\\\\L=1.07\ \mu H[/tex]

So, the inductance of one conductor in the unstretched cord is [tex]1.07\ \mu H[/tex].

A baseball is thrown at an angle of 25 degrees relative to the ground at a speed of 23 m/s. If the ball was caught 42 m from the thrower:

What is the initial vertical velocity?

What is the initial horizontal velocity?

How long was it in the air?

How high did the ball travel before being caught?

Answers

Answer:

a) [tex] v_{0y} = 9.72 m/s [/tex]

b) [tex] v_{0x} = 20.85 m/s [/tex]

c) [tex] t = 2.01 s [/tex]

d) [tex] h_{max} = 4.82 m [/tex]

Explanation:

a) The initial vertical velocity is given by:

[tex] v_{0y} = v*sin(\theta) [/tex]

Where:

θ: 25°

v: is the magnitude of the speed = 23 m/s

[tex] v_{0y} = 23 m/s*sin(25) = 9.72 m/s [/tex]

b) The initial horizontal velocity can be calculated as follows:

[tex] v_{0x} = v*cos(\theta) = 23 m/s*cos(25) = 20.85 m/s [/tex]

c) The flight time can be calculated using the following equation:

[tex] v_{0x} = \frac{x}{t} [/tex]

Where:

x: is the total distance = 42 m

[tex] t = \frac{x}{v_{0x}} = \frac{42 m}{20.85 m/s} = 2.01 s [/tex]

d) The maximum height is given by:

[tex] v_{fy}^{2} = v_{0y}^{2} - 2gh_{max} [/tex]

Where:

[tex] v_{fy}[/tex]: is the final vertical velocity =0 (at the maximum heigth)

g: is the gravity = 9.81 m/s²

[tex]h_{max} = \frac{v_{0y}^{2}}{2g} = \frac{(9.72 m/s)^{2}}{2*9.81 m/s^{2}} = 4.82 m[/tex]

I hope it helps you!                                  

Ken Griffey, Jr's warehouse shot in the 1933 home run derby travelled 93 feet per second for 5 seconds. How far did he hit the ball?

Answers

Answer:

465 feet because 93*5 = 465, btw that was 1993 not 1933

Explanation:

The first group of planets that are made of rock and closest to the sun

Answers

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

Sean and Tommy are debating the positive and negative impacts of technology on environmental quality. Tommy is listing the negative impacts. Which of the following would help his argument? (2 points)
Grupp av svarsalternativ

Solar panels have become more effective due to technological improvements.

Technology has helped make recycling to be more efficient.

It has created new ways to clean up oil spills.

Factories contribute to air and water pollution.

Answers

Answer:

Factories contribute to air and water pollution.

Explanation:

.Why does it take double the applied force to move a mass double the size?
Explain this in terms of inertia,

Answers

Answer:

NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics Card

Explanation:

Regular exercise can:
A.
Reduce stress and anxiety
B.
Boost your immune system
C.
Increase your overall feeling of wellness
D.
All of the above

Answers

D. All of the above I take this course too and was stuck on this one for a while

Answer:

D

Explanation:

PLZ HELP help me help help

Answers

Answer:

matter

Explanation:

Hope I helped :)

How does temperature effect density and the flow of convection currents?

Answers

Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

11. How fast will a pebble be traveling 3 seconds after being dropped? (g = 9.8 m/s2)
A.-9.8 m/s
B.29.4 m/s
C.9.8 m/s2
D.29.4 m/s

Answers

B is the correct answer.

A 60-kg woman runs up a staircase 15 m high (vertically) in 20 s.

Required:
a. How much power does she expend?
b. What is her horsepowerrating.

Answers

Answer:

(a) 441 W (b) 0.59 hP

Explanation:

Given that,

Mass of a woman, m = 60 kg

Height of a staircase, h = 15 m

Time, t = 20 s

(a) We need to find the power she expend. Work done per unit time is called power. It is given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{60\times 9.8\times 15}{20}\\\\P=441\ W[/tex]

( b) Since, 1 hP = 745.7 W

P = 0.59 hP

A hockey puck is sliding on frictionless ice, in an Eastward direction. It collides with a second hockey puck, initially stationary, which then goes off in the Northern direction. What direction is the first hockey puck moving after the collision

Answers

Answer:

Southeast

Explanation:

We have to put into cognisance that the first hockey puck is moving in the eastern direction in the first instance, before it hits the other stationary hockey puck. And as such, on hitting the second puck, it's displacement is expected to differ, as a result of the collision. While the stationary puck will the move in the Eastern direction, it changes the direction of the first puck, from eastern to southeastern

The picture below shows a science model made with a balloon, cord, and radiosonde.

Image showing a science model made with a balloon; at the bottom of the balloon is a cord with a radiosonde attached to it.

Which of these is most likely the function of the science model?

To change the density of air
To increase the humidity in air
To reduce the atmospheric pressure
To predict extreme weather conditions

Answers

Answer:

Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions

Hope this helped! (: Have a nice day

Answer: To predict extreme weather conditions

A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.

A projectile rolls off a cliff with a velocity of 40 m/s. The cliff is 60 meters high.
1. Calculate the time the projectile takes to hit the ground
2. Calculate the distance the projectile travelled on the X-axis horizontally before hitting the ground
3. Calculate the impact velocity of the projectile on the Y-axis
4. Calculate the Resultant velocity V r
5. Calculate the angle at which the projectile hits the ground
6. Calculate Sine Θ
7. Calculate Tan Θ
8. A final Resultant Velocity Statement

Answers

Answer:

1) t = 3.45 s, 2)  x = 138 m, 3) v_{y} = -33.81 m /s, 4) v = 52.37 m / s ,

5) θ = -40.2º

Explanation:

This is a projectile exercise, as they indicate that the projectile rolls down the cliff, it goes with a horizontal speed when leaving the cliff, therefore the speed is v₀ₓ = 40 m / s.

1) Let's calculate the time that Taardaen reaches the bottom, we place the reference system at the bottom of the cliff

      y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

When leaving the cliff the speed is horizontal  v_{oy}= 0 and at the bottom of the cliff y = 0

      0 = y₀ - ½ g t2

      t = √ 2y₀ / g

      t = √ (2 60 / 9.8)

      t = 3.45 s

2) The horizontal distance traveled

     x = v₀ₓ t

     x = 40 3.45

     x = 138 m

3) The vertical velocity at the point of impact

     v_{y} = I go - g t

     v_{y} = 0 - 9.8 3.45

     v_{y} = -33.81 m /s

the negative sign indicates that the speed is down

4) the resulting velocity at this point

   v = √ (vₓ² + v_{y}²)

   v = √ (40² + 33.8²)

   v = 52.37 m / s

5) angle of impact

    tan θ = v_{y} / vx

    θ = tan⁻¹ v_{y} / vx

    θ = tan⁻¹ (-33.81 / 40)

    θ = -40.2º

6) sin (-40.2) = -0.6455

7) tan (-40.2) = -0.845

8) when the projectile falls down the cliff, the horizontal speed remains constant and the vertical speed increases, therefore the resulting speed has a direction given by the angle that is measured clockwise from the x axis

1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the minimum coefficient of static friction between tires and track needed to keep the car on circular path. *
A- 0.01
B- 0.05
C- 0.1
D- 0.2

Answers

Answer:

C. 0.1

Explanation:

If a car traveled 50 meters in 2 seconds, what will the velocity be? (Write the answer with a number, on decimal if needed, then a space and the units, for example 5.7 m/s)

Answers

Answer:

The answer is 25 m/s

Explanation:

The velocity of the car can be found by using the formula

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

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{2} \\ [/tex]

We have the final answer as

25 m/s

Hope this helps you

A carbon ion with 10 electrons and 6 protons would have a charge of ?

Answers

Answer:

-4

Explanation:

Electrons are negative while protons are positive.

To find the charge, add the number of protons to the number of electrons.

6+(-10)

6-10

-4 is the charge

If a star appears to wobble back back and forth, or its light seems to change in brightness, what might be the cause?

Answers

Answer:

The first method, known as the wobble method, looks for changes in a star's relative velocity caused by the gravitational tug of a nearby planet. ... If a planet's orbit crosses between its parent star and Earth, it will block some of the light and cause the star to dim.

Explanation:

We all know that the chains of gravity shackle a planet to its star. That star's enormous gravitational influence keeps its planetary family in orbit. But gravity works both ways: as the planets sweep around in their orbits, they tug on their parent stars to and fro, causing those stars to wobble

Answer:

The way it’s orbiting

Explanation:

How long would it take a 500. W electric motor to do 15010 J of work?

Answers

time = energy / power = 15010 / 500 = .... seconds

a 2000 kg car moving down the road runs into a 5000 kg stationary suv. The car applies a force of 1400 n on the suv what is the magnitude of force applied by the suv on the car

Answers

Answer:

F_suv= 49050 N

Explanation:

We are told that a 2000 kg car moving down the road runs into a 5000 kg stationary suv. The car applies a force of 1400 N on the suv.

Now, according Newton's first law of motion, an object will continue in it's present state of rest except it is acted upon by an external body.

This means the force acting on the stationary Suv is force of gravity.

Thus; F_suv = 5000 × 9.81

F_suv= 49050 N

Which of the following is made up of vibrating electric and magnetic fields
traveling together?
A. An electromagnetic wave
B. A generator
C. An induced current
D. An electromagnet

Answers

Answer:

A. An electromagnetic wave

Explanation:

A P E X

b. Interpret Data Solution A has a pH of 1.6.
Solution B has a pH of 4. Which solution
has a greater concentration of hydrogen
ions? Explain.

Answers

Answer:

Solution A has a pH of 6 and solution B has a pH of 8. Which of the following is true regarding the concentration of hydrogen ions in each solution? A) A has 100 times greater H+ concentration than B. B) B has 100 times greater H+ concentration than A. C) A has 7/9 of the H+ concentration of B. D) A has 9/7 of the H+ concentration of B. E) none of these

Explanation:

Hey im super sorry if i get this wrong :)

How do covalentes bonds form

Answers

A covalent bond forms when two or more valence electrons are attracted by the positively charged nuclei of two atoms and thus are shared between both atoms.
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