a) Calculate the magnitude of displacement of the car in 40 seconds. b) During which part of the journey was the car accelerating? c) Calculate the magnitude of average velocity of the car.

A) Calculate The Magnitude Of Displacement Of The Car In 40 Seconds. B) During Which Part Of The Journey

Answers

Answer 1

Answer:

a)  600 meters

b) between 0 and 10 seconds, and between 30 and 40 seconds.

c) the average of the magnitude of the velocity function is 15 m/s

Explanation:

a) In order to find the magnitude of the car's displacement in 40 seconds,we need to find the area under the curve (integral of the depicted velocity function) between 0 and 40 seconds. Since the area is that of a trapezoid, we can calculate it directly from geometry:

[tex]Area \,\,Trapezoid=(\left[B+b]\,(H/2)\\displacement= \left[(40-0)+(30-10)\right] \,(20/2)=600\,\,m[/tex]

b) The car is accelerating when the velocity is changing, so we see that the velocity is changing (increasing) between 0 and 10 seconds, and we also see the velocity decreasing between 30 and 40 seconds.

Notice that between 10 and 30 seconds the velocity is constant (doesn't change)  of magnitude 20 m/s, so in this section of the trip there is NO acceleration.

c) To calculate the average of a function that is changing over time, we do it through calculus, using the formula for average of a function:

[tex]Average\,of\,f(x)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]

Notice that the limits of integration for our case are 0 and 40 seconds, and that we have already calculated the area under the velocity function (the integral) in step a), so the average velocity becomes:

[tex]Avearage=\frac{600\,\,m}{40\,\,s}= 15\,\,\frac{m}s}[/tex]


Related Questions

With all his gear, Neil Armstrong weighed 360 pounds on Earth. When he landed on the Moon, he weighed 60 pounds. Why? A. His mass changed while traveling to the Moon. B. The gravity on the Moon is six times the gravity on Earth. C. The gravity on the Moon is less than the gravity on Earth. D. He experienced the effects of a gravity slingshot.

Answers

Answer:

C

Explanation:

Answer:

C)  The gravity on the Moon is less than the gravity on Earth.

Explanation:

Since Moon is smaller than Earth, any mass on Moon will experience less gravitational force and so that mass will weigh less on Moon.

A loop of wire of area A is tipped at an angle eto uniform magnetic field B. The maximum flux occurs for an angle A=0. What angle 0 will give a flux that is of this maximum value? A. 0=30° B. 0=45 c. 0=60 d.0=90

Answers

Answer:

We have that θ is the angle that makes the normal of the loop and the direction of the magnetic field.

This means that if θ = 0°, the plane in which the loop of wire lies is totally perpendicular to the magnetic field. (or the face of the loop points in the same direction than the field)

Now, the magnetic flux can be calculated as:

[tex]\int\limits^} \,B.dA[/tex]

Where dA is the differential of area, and we have a dot product, then we have:

B.dA = B*Acos(θ)ds

ds is a differential of surface.

Now, the flux will be maximum when cos(θ) is also a maximum.

And the maximum of the cosine is:

Cos(0°) = 1.

decreasing until cos(90°) = 0

Now, the options given are:

30°, 45°, 60° and 90°.

Then in this range, the maximum flux will occur at the angle closer to 0°, then the correct option is θ = 30°

You swing a 2 kg ball around on a string. The radius of the circle the ball travels around is 2 m, and you give the ball a velocity of m/s. What is the centripetal force on the ball?

Answers

Answer:

F = 9 N

Explanation:

We have,

Mass of a ball is 2 kg

The radius of the circle the ball travels around is 2 m

Let the velocity of the ball is 3 m/s

It is required to find the centripetal force on the ball. The force that is required to move an object in circular path is called centripetal force.

[tex]F=\dfrac{mv^2}{r}\\\\F=\dfrac{2\times (3)^2}{2}\\\\F=9\ N[/tex]

So, the centripetal force on the ball is 9 N.

why why scientists uses atomic watches?

Answers

Answer:

Atomic clocks are the most accurate time and frequency standards known, and are used as primary standards for international time distribution services, to control the wave frequency of television broadcasts, and in global navigation satellite systems such as GPS.

A motor has an input power of 120 W and is 40 % efficient. Calculate the power wasted by the motor.

Answers

Answer:

72 W

Explanation:

60% is wasted, or:

0.60 (120 W) = 72 W

a skier traveling 11m/s goes up a 19 degree inclined plane, and glides up 15m before coming to rest. what is the average coefficient of friction?

Answers

Answer:

do you mind telling me what is it your asking so i can help ?

Explanation:

Okay please help me all my assignments are due tomorrow! I need to know 5 examples of all 6 simple machines that can be found in a house! Please specify the machine for the items! Thank you!

Answers

EXAMPLE

BIKE/STROLLER - WHEEL AND AXLE

SCISSORS/HEDGE CUTTER - LEVER

STAIRS - INCLINED PLANED

SCREW DRIVER/SCREW/NAILS- SCREW

AXE - WEDGE

WELL - PULLEY

Its not much but hope this help you

The density of air is 1.3 kg/m^3. What mass of air is contained in a room measuring 2.5m x 4m x 10m? Give your answer in kg. Brainliest will be given!! (Formula for density is P= M/V)

Answers

mass= density x volume
1.3 kg/m^3 x ( 2.5x4x10) m^3
= 130 kg

Mature salmon swim upstream, returning to spawn at their birthplace. During the arduous trip they leap vertically upward over waterfalls as high as 2.83 m. With what minimum speed (in m/s) must a salmon launch itself into the air to clear a 2.83-m waterfall

Answers

Answer: minimum speed of launch must be 7.45m/s

Explanation:

Given the following:

Height or distance (s) = 2.83m

The final velocity(Vf) at maximum height = 0

Upward motion, acceleration due to gravity(g) us negative = -9.8m/s^2

From the 3rd equation of motion:

V^2 = u^2 - 2gs

Where V = final velocity

u = initial velocity

Therefore, u = Vi

u = √Vf^2 - 2gs

u = √0^2 - 2(-9.8)(2.83)

u = √0 + 55.468

u = √55.468

u = 7.4476 m/s

u = 7.45m/s

PLEASE HELP WILL GIVE BRANLIEST IF CORRECT
Which labels best complete the diagram?

1) X: Brush Y: Armature Z: Commutator
2) X: Commutator Y: Brush Z: Armature
3) X: Armature Y: Commutator Z: Brush
4) X: Armature Y: Brush Z: Commutator

Answers

Answer:

Explanation:

z: commutatory: brush x: armature

Answer:

4

Explanation:

X would be armature.

Y is the brush because when z moves the circuits, the brush moves with it

the commutator helps turn the circuits, so that would be z.

How have advances in space exploration led to technologies adapted for personal use? How have advances in space exploration led to technologies adapted for personal use?

Answers

Answer:

The World is now characterized by a large network of satellites delivering continuous wireless communications.

Explanation:

Initially created for the military purpose the global positioning system ( GPS) for precision navigation and targeting of weapons, it has become an everyday catch for communication purposes around the globe. Infrared ear thermometers which are a NASA-derived innovation, estimate the concentration of energy emitted by the eardrum in the same way that the temperature of the planetary objects is measured. Consumer products such as compact wireless vacuums, compress-dried foods, memory foam, cordless headsets, LED lighting, scratch-resistant eyeglass lenses, and several other commonly associated products all have benefited from research and innovation in space technology. Modern laptops are direct descendants of The Shuttle Portable Onboard Computer which was designed for the space shuttle programs in the early 1980s. 

A14 is running toward the goal. her teammate, a12, kicks the ball toward a14. a14 did not see the ball coming and the ball strikes her in the back of the hand as her hand is at her side. the proper call would be to:

Answers

The Available options are:

A. Award an indirect free kick to Team B for incidental contact.

B.  Award a direct free kick to Team B.

C.  Allow play to continue as the handling was incidental but issue a caution to the player at the next stoppage of play.  

D.  Allow play to continue.

Answer:

Allow play to continue.

Explanation:

IFAB (International Football Association Board) has approved various means to clarify the issue of handball in foodtball.

Hence, some of the cases include:

1. Should the the ball touches a player's hand/arm immediately from their own head/body/foot or the head/body/foot of another player.

2. the ball touches a player's hand/arm close to their body and has not made their silhouette unnaturally bigger.

3. a player is falling and the ball touches their hand/arm when it is between their body and the ground (but not extended to make the body bigger).

4. Additionally, should the goalkeeper attempt to clear a ball from a teammate but fails, the goalkeeper is allowed to handle the ball.

Hemce, Since a14 who did not see the ball coming and the ball strikes her in the back of the hand as her hand is at her side. the proper call would be to: ALLOW PLAY CONTINUE

The springs in a car’s suspension have a spring constant of 50 000 N/m. The elastic potential energy store is 0.025 J. Calculate the extension of the springs.

Answers

Answer:

1 mm

Explanation:

E = ½ kx²

0.025 J = ½ (50,000 N/m) x²

x = 0.001 m

x = 1 mm

tell the uses of coal​

Answers

Answer:

"Coal has many important uses worldwide. The most significant uses of coal are in electricity generation, steel production, cement manufacturing and as a liquid fuel. Different types of coal have different uses. Steam coal - also known as thermal coal - is mainly used in power generation."

Explanation:

Answer:

Coal can be used for many things. Mostly though, to help steel production. For example, electricity generation. They can also be used for cemet as a liquid fuel. There are many types of coals with different purposes.

Will mark brainliest for the first person who answered correctly Which of the following is an example of non-renewable energy? Hydroelectric Gas Solar Wind

Answers

Answer:

gas is non-renewable resource

Explanation:

Answer:

Gas

Explanation:

There are two types of energy sources, renewable and non-renewable.

Solar energy, wind energy, and hydroelectric are an example of renewable energy.

Fossil fuels like gas, coal, and petroleum are an example of non-renewable energy.

Select the arrangement of electromagnetic radiation which starts with the lowest wavelength and increases greatest wavelength. Multiple Choice radio, ultraviolet, infrared, gamma rays gamma rays, ultraviolet, infrared, radio radio, infrared, ultraviolet, gamma rays gamma rays, infrared, radio, ultraviolet gamma rays, radio, ultraviolet, infrared

Answers

Answer:

gamma rays, ultraviolet, infrared, radio

Explanation:

Because on the Electromagnetic spectrum wavelength increases from the gamma end to radio end and frequency decrease in that order

Answer:

radio → infrared → ultraviolet → gamma

Explanation: yeaaahhh its c

What are some of the major differences between the ancient Olympics and modern-day Olympics? List and describe at least two differences.

Answers

Answer:

Women are now allowed to participate in the Olympics. The original Olympic Games were open only to men.

Modern Olympic Games include many more events. The first Olympics included only a running event. Today, there are more than 20 different sports and almost 300 events.

The Olympics are held every two years, alternating between summer and winter. The ancient Olympics were originally held every four years in Olympia.

Athletes from countries around the world participate in the modern Olympics. The ancient Olympics consisted of athletes only from ancient Greece.

Explanation:

plato

the handles of tin-snips (metal cutter) are made long ,why

Answers

Answer:

because lwhen they are made longer than the turning effect of force is more and its easy to work it out.

The student concluded that the current in the LDR is inversely proportional to the potential difference across the LDR. Explain why the student's conclusion is incorrect.

Answers

The given question is incomplete as the essential graphical result is missing, however the correct graph is attached with the answer :

Answer:

The correct answer is - According to the graph,  the current in the LDR is directly proportional to the potential difference across the LDR.

Explanation:

Two variables that are in directly proportion will consistently deliver a straight-line graph that goes through the beginning. On the off chance that the steady of proportionality is sure, the chart will have a positive slope. On the off chance that the steady is negative, the graph will have a negative angle.

In the given data and graph of the result collected by the student shows a straight line in between the current in the LDR and the potential difference across the LDR. It means they are in relation of directly proportional.

Thus, the correct answer is - According to the graph,  the current in the LDR is directly proportional to the potential difference across the LDR.

A cyclist is riding his bike up a mountain trail. When he starts up the trail, he is going 8 m/s. As the trail gets steeper, he slows to 3 m/s in 1 minute. What is the cyclist’s acceleration? –0.08 m/s2 0.08 m/s2 –12 m/s2 12 m/s2

Answers

Answer:

-0.08m/s²

Explanation:

Planets revolve around the sun why

Answers

Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.

force of 200 newton is applied to an object of area 200 square metre the pressure will be​

Answers

Answer:

1 Pa

Explanation:

Pressure = Force/Area

P = 200/200

P = 1

The SI unit is Pa for pressure, one newton per square meter.

A lizard leaps 2.1\,\text m2.1m2, point, 1, start text, m, end text to the left in 0.52\,\text s0.52s0, point, 52, start text, s, end text. What was its average speed in \dfrac{\text m}{\text s} s m ​ start fraction, start text, m, end text, divided by, start text, s, end text, end fraction

Answers

Answer:

v = 4.03 m/s

Explanation:

It is given that,

Distance covered by a lizard, d = 2.1 m

Time taken by lizard, t = 0.52 s

We need to find the average speed of the lizard. The distance covered divided by time taken is called the average speed of lizard. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{2.1\ m}{0.52\ s}\\\\v=4.03\ m/s[/tex]

So, the average speed of the lizard is 4.03 m/s.

Answer: 4.02 not 4.03

Explanation: I did on khan academy

A lever and fulcrum are used to lift a fallen tree, which has a weight of 480N. if the lever has a mechanical advantage of 5.5, what is the input force that will begin lifting the tree of the ground

Answers

Answer:

The input force is 87.27N

Explanation:

Mechanical advantage (M.A)of a machine is the ratio of load to effort

Given

M.A= 5.5

load= 480N

effort= ?

Applying the formula and substituting to find the effort we have

[tex]M.A= \frac{load}{effort}[/tex]

[tex]5.5= \frac{480}{effort}\\\effort= \frac{480}{5.5} \\\effort= 87.27N[/tex]

if the relative density of a liquid is 0.34 what is the density of the liquid​

Answers

Answer:

340 kg/m³

Explanation:

[tex]Relative density \: = \frac{density \: ofsubstance}{density \: of \: equal \: volume \: ofwater} [/tex]

density of water = 1000 kg/m³

density of the liquid = 0.34 × 1000

= 340 kg/m³

output work is always less than input work,why

Answers

Answer:

Output work is always less than input work due to effect of friction. Machines are frictionless in practice, the efficiency of a machine can never be 100%.

Hope this helps..

Good luck on your assignment..

Answer:

Friction

Explanation:

An eagle is flying above a mountain of height 2,700 m above sea level. Calculate the pressure on the eagle if the average density of air is 1.3 kg/m3,the atmospheric pressure at sea level is 76 cm Hg, and the density of mercury is 13,600 kg/m3.​

Answers

Answer:

The correct option is;

(A) 25.8 cmHg

Explanation:

The given parameters are;

The height of the mountain over which the eagle is flying = 2700 m

The average density of air, ρₐ = 1.3 kg/m³

The atmospheric pressure at sea level = 76 cmHg = 0.76 mHg

The density of mercury, [tex]\rho _m[/tex] = 13,600 kg/m³

The formula for pressure, p, is p = ρ·g·h

The pressure in the atmosphere = 13,600 × 0.76 × g = 10,336·g

The equivalent height of air is found as follows;

1.3 × g × h = 10,336·g

h = 10,336/1.3 = 7,950.769 meters

Therefore;

The pressure of the atmosphere at 2,700 meters, p₂₇₀₀ = (2,700/7,950.769) × 76 cm Hg

Which gives;

p₂₇₀₀ = 25.808 cmHg ≈ 25.8 cmHg.

Arace car starts from rest and accelerates uniformly to a speed of 40 m/s in 8.
seconds. How far will the car travel during the 8 seconds?
meters
Type the correct answer, then press Enter.

Answers

Answer:

160 m

Explanation:

For computing the distance first we have to determine the acceleration which is shown below:

v = u + at

where,

v = 0 = initial velocity

u = 40 = uniformly to a speed

t = 8 = time

So, the a is

= 40 ÷ 8

= 5 m/s

Now we have to use the distance formula i.e

d = ut + 1 ÷ 2 at^2

= 1 ÷2 × 5 × 8^2

= 160 m

Basically we have to applied the above formulas so that the distance could come

Help me pleaseee, it’s due today: Two people push on a large gate as shown on the view from above in the diagram. If the moment of inertia of the gate is 90 kgm2, what is the resulting angular acceleration of the gate?

Answers

Answer:

the angular acceleration of the gate is approximately 1.61  [tex]\frac{rad}{s^2}[/tex]

Explanation:

Recall the formula that connects the net torque with the moment of inertia of a rotating object about its axis of rotation, and the angular acceleration (similar to Newton's second law with net force, mass, and linear acceleration):

[tex]\sum \tau_1=I\,\alpha[/tex]

In our case, both forces contribute to the same direction of torque, so we can add their torques up and get the net torque on the gate:

[tex]\tau_{net}=(20*2+30*3.5) \,N\,m=145\,\,N\,m[/tex]

Now we use this value to obtain the angular acceleration by using the given moment of inertia of the rotating gate:

[tex]\sum \tau_1=I\,\alpha\\145\,\,N\.m=(90\,\,kg\,m^2)\,\alpha\\\alpha= \frac{145}{90} \frac{rad}{s^2} = 1.61\, \frac{rad}{s^2}[/tex]

If the two blocks are moving to the right at constant velocity, A. the horizontal force that B exerts on A points to the left. B. the horizontal force that B exerts on A points to the right. C. B exerts no horizontal force on A. D. not enough information given to decide

Answers

Answer:

D. not enough information to decide

Explanation:

i dont understand >.<

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