Which statement describes a characteristic of an experimental design that
will improve the quality of the results?

Which Statement Describes A Characteristic Of An Experimental Design Thatwill Improve The Quality Of

Answers

Answer 1

Answer:

A.

Ok, suppose an experiment where you have a lot of dependent variables.

something like the variables y, z and k that change when you change the variable x.

Now, as you play with the variable x, you will notice changes in the variables z, y and k.

But there is now a question (a lot actually)

if the change in k was actually caused by the change in z?

Then you need to try to find a way of changing the value of z for a fixed value of x (designing an experiment) and see how k reacts.

This may be really hard, so as few responding variables you have, the simpler is the experiment, and easier will be to collect good data.

Now we also could discard the other options:

B: If the procedure is complex, then there are more ways in which the scientist can make a mistake that will introduce error to the data, so this will not improve the quality.

C: A larger sample will allow you to have more precision, as more subjects are being observed.

D: When we manipulate one variable, we may be actually introducing some quantity of error to the data.

For example, if the quantity is the voltage for an experiment, we actually do not know the exact voltage tath comes from the source, so there is a small source of error. Now as we start adding more and more independent variables, we also are adding more of these sources of errors, so an experiment with several independent variables will not improve the quality of the results.


Related Questions

8. An object that is traveling 50m/s slows down with an
acceleration rate of -3.5m/s/s. This took place over a period of 4s.
What was the objects final velocity? *

Answers

Answer:

36 m/s

Explanation:

Given:

v₀ = 50 m/s

a = -3.5 m/s²

t = 4 s

Find: v

v = at + v₀

v = (-3.5 m/s²) (4 s) + 50 m/s

v = 36 m/s

An elephant pushes with 200 N on a load of trees. it then pushes these trees for 10 N. How much work did the elephant do?

Answers

Answer:

the answer is 2000Nm

Explanation:

wprk done = force × distance moved

w.d = 200N × 10m

w.d = 2000Nm

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An average human has a heart rate of 70 beats per minute. If someone's heart
beats at that average rate over a 70-yr lifetime, how many times would it beat?
a.) 7 x 10 to the 5th power
b.) 2 x 10 to the 6th power
c.) 2x 10 to the 7th power
d.) 3 x 10 to the 9th power

Answers

3x10 to the 9th power, the answer is D

Which figure shows vector A - vector B?

Answers

Answer:

The first and the last answer

Counseling psychologists typically handle severe psychological disorders.
Please select the best answer from the choices provided
T
F

Answers

Answer:

FALSE

Explanation:

Answer:

False

Explanation:

in a closed system three objects have the following momentum: 11 kg* m/s, -65 kg*m/s and -100 kg m/s. the objects collide and move together. What is the total momentum after the collision? 55 kg*m/s 275 kg * m/s -55kg * m/s -275 kg m/2

Answers

Explanation:

The momentum of the three objects are as follow :

11 kg-m/s, -65 kg-m/s and -100 kg-m/s

Before collision, the momentum of the system is :

[tex]P_i=11+(-65)+(-100)\\\\P_i=-154\ kg-m/s[/tex]

After collison, they move together. It means it is a case of inelastic collision. In this type of collision, the momentum of the system remains conserved.

It would mean that, after collision, momentum of the system is equal to the initial momentum.

Hence, final momentum = -154 kg-m/s.

Find an expression for the square of the orbital period.

Answers

Answer:

T²= 4π²R³/GM

Explanation:

First we know that

Fg= Fc

Because centripetal force must equal gravitational force

So

GMm/R² = Mv²/R

But velocity is 2πR/T

So by substitution we have

GMm/R²= M (2πR/T)/T

We have

T²= 4π²R³/GM as period

Law of conservation of energy states that

a
Energy cannot be created or destroyed
b
Momentum is not lost, it is transferred
c
The sum of the kinetic energy and potential energy

Answers

A) energy cannot be created nor destroyed
A) Energy can not be destroyed

b. How tar from the li u
b. Obtain the value of g from the motion of the moon assuming that its period
of rotation round the earth is 27 days 8 hours and the radius of its orbit is
60.1 times the radius of the earth.
0.
7.2 m. Compute​

Answers

Answer:

Approximately [tex]9.79\; \rm m \cdot s^{-2}[/tex] at the surface of the earth, given that the radius of the earth is known to be approximately [tex]6.371\times 10^{6}\; \rm m[/tex]. Assumptions: the earth is a sphere, the orbit of the moon is circular, and that the gravitational pull of the earth is the only force on the moon.

Explanation:

Convert the orbital period of the moon around the earth to seconds:

[tex]\begin{aligned}t &= (27\; \text{day} \times 24\; \text{hours} \cdot \text{day}^{-1} + 8\; \text{hour})\times 3600\; \rm \text{s}\cdot \text{hour}^{-1}\\ &= 2361600\; \text{s} \end{aligned}[/tex].

Calculate the angular velocity of the moon around the earth using the formula[tex]\displaystyle \text{angular velocity} = \frac{2\pi}{\text{orbital period}}[/tex]:

[tex]\begin{aligned}\omega = \frac{2\pi }{t} = \frac{2\pi}{2361600\; \rm s} \approx 2.66056\times 10^{-6}\; \rm s^{-1}\end{aligned}[/tex].

Let [tex]m(\text{moon})[/tex] denote the mass of the moon. Let [tex]g[/tex] denote the gravitational field strength at the surface of the earth (not at the position of the moon.) Let [tex]r[/tex] denote the radius of the earth.

The orbital radius of the moon would thus be [tex]60.1\, r[/tex]. Note that in the gravitational field due to a single spherical mass, the field strength is inversely proportional to the square of distance from the center of that mass.

The surface of the earth is at a distance of [tex]r[/tex] away from the center of the earth. The distance between the moon and the center of the earth would then be [tex]60.1[/tex] times that number (that is: [tex]60.1\, r[/tex].)

The gravitational field at the surface of the earth is [tex]g[/tex]. Therefore,  at the position of the moon ([tex]60.1[/tex] times further away from the center of the earth compared to the earth surface,) the gravitational field strength would be:

[tex]\displaystyle \left( \frac{r^2}{(60.1\, r)^2} \right)\, g = \frac{g}{60.1^2}[/tex],

Hence, the gravitational pull of the earth on the moon would be [tex]\displaystyle \frac{m(\text{moon})\, g}{60.1^2}[/tex].

Assume that the gravitational pull of the earth is the only force on the moon. That gravitational pull would then be the equal (in size) to the net force on the moon. That is:

[tex]\displaystyle \text{Net force on the moon} = \frac{m(\text{moon})\, g}{60.1^2}[/tex].

On the other hand, the rotation (assumed to be perfectly circular) of the moon would give the net force on the moon in terms of:

the mass of the moon, the angular speed of the rotation, andthe radius of the orbit.

[tex]\displaystyle \text{Net force on the moon} = m(\text{moon})\, \omega^2\, (60.1\, r)[/tex].

Combine the two expressions for the net force on the moon to obtain an equation for [tex]g[/tex]:

[tex]\displaystyle \frac{m(\text{moon})\, g}{60.1^2} = m(\text{moon})\, \omega^2\, (60.1\, r)[/tex].

Simplify and solve for [tex]g[/tex]:

[tex]\displaystyle g = 60.1^3 \, \omega^2\, r[/tex].

The angular velocity of this rotation, [tex]\omega[/tex], has already been found to be approximately [tex]2.66056\times 10^{-6}\; \rm s^{-1}[/tex]. Look up the radius of the earth: [tex]r = 6.371\times 10^{6}\; \rm m[/tex]. Evaluate this expression for [tex]g[/tex]:

[tex]\begin{aligned}g &= 60.1^3 \, \omega^2\, r \\ &\approx 60.1^3 \times \left( 2.66056\times 10^{-6}\; \rm s^{-1}\right) \times 6.371\times 10^{6}\;\rm m \\ &\approx 9.79\; \rm m \cdot s^{-1}\end{aligned}[/tex].

While on vacation in the tropical Bahamas, Suzy decides to try out a water jet pack. She places the jet pack on her back (like you would wear a backpack), pushes the buttons in her hands, and water comes shooting out of the bottom of the jetpack, exerting a force on the ocean below. Why does Suzy fly up into the air? In your answer, be sure to state which of Newton's laws of motion this pertains to, describe this law, and explain how it causes Suzy to fly up into the sky.

Answers

Answer:

-Suzy flies up into the sky because of the upward force on the jetpack.

-Newton's third law of motion can be ascribed to this.

Explanation:

We know that in momentum, Force is described as the rate of change of momentum. Thus, for us to understand the forces, we will need to establish how the momentum of the water changes.

Suppose the mass flow rate of the water is denoted as M kg/sec and the upward velocity is denoted as v_u.

Now, since water is lying stationary at the sea, the initial momentum of the water will be zero. If every second the boat pumps upwards with mass flow rate M at velocity vu, the momentum per second would be;

Δp = F_water = Mv_u

Now, from Newton's third law the boat/pump would experience a downwards force with the formula:

F_boat = −Mv_u

Furthermore at the jetpack, the water does a reverse turn in direction and is now again directed back down at a different velocity v_d. Therefore the final momentum per second is Mv_d and therefore change in momentum is now;

Δp = M(v_d - v_u)

The velocity v_d will be negative since the boat/pump would experience a downwards force. Thus, the force on the water will be downwards and F_water ≤ 0 .

We will finally use Newton's third law to conclude that the upward force on the jetpack will be;

F_jetpack = M(v_u - v_d)

Thus upward force is what makes Suzy to fly up in the sky.

What does the measurement unit N stand for?

Answers

Explanation:

The newton (symbol: N) is the International System of Units (SI) derived unit of force.

Answer:

The newton is the SI unit of force, and is the force which will accelerate one kilogram one metre per second squared. The symbol of the newton in SI is N. The newton is also the unit of weight

Explanation:

I hope it helps

Which of these statements matches what we saw? Select all that apply: The amount of electric force depends on the amount of charge. Adding more charge to either balloon caused a greater repulsive force. If the one balloon has more electric charge, that causes a greater electric force on only on the other balloon. If the one balloon has more electric charge, that causes a greater electric force on only on itself, causing that balloon to move farther away than the other balloon. If the one balloon has more electric charge, that causes a greater electric force on both balloons, causing them to deflect equally.

Answers

Answer:

-The amount of electric force depends on the amount of charge

-Adding more charge to either balloon caused a greater repulsive force.

-If the one balloon has more electric charge, that causes a greater electric force on both balloons, causing them to deflect equally.

Explanation:

According to Coulomb's law of electrostatic force between two charged masses, the force of attraction is proportional to the product of the charges on the masses. This means that the more the charge on the masses, the more the electric force on them. And adding more charge to either balloon will only cause the balloons to repel each other with a greater amount of force.

The electric force between two charged masses is of the same magnitude both ways, regardless of the individual charges on the masses. This justifies the fact that If one balloon has more electric charge, it will cause a greater electric force to be exerted between both balloons, causing them to deflect equally.

Two ropes are attached to a tree, and forces of F⃗ 1=2.0iˆ+4.0jˆN and F⃗ 2=3.0iˆ+6.0jˆN are applied. The forces are coplanar (in the same plane). (a) What is the resultant (net force) of these two force vectors? (b) Find the magnitude and direction of this net force.

Answers

Answer:

We can see that  the 2 forces are being applied in the same direction

So the resultant force will be larger than the given forces

Resultant force = (2i + 4j) + (3i + 6j)

R = 5i + 10j

Magnitude of the resultant force :

R² = i² + j²

R² = 25 + 100

R = [tex]\sqrt{125}[/tex] = [tex]5\sqrt{5}[/tex]

Direction of the resultant force:

Tan Θ = Vertical component of force / Horizontal component of force

Tan Θ = 10 / 5

Tan Θ = 2

Θ = Arctan (2)

Θ = 63.4 degrees

Direction is 63.4 degrees in the NE direction

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A) The resultant ( net force ) = 5i + 10 j

B) The magnitude and direction of this net force

   magnitude of net force =  5√5    direction of net force = 63.4° NE

Given that :

The vector forces are coplanar ( In the same plane and direction )

A) resultant force = (2i + 4j) + (3i + 6j) = ( 2 + 3 ) i  +  ( 4 + 6 ) j

                                                        = ( 5 i  + 10 j )

B ) Calculate The magnitude and direction of the net force

i) Magnitude of the force

R² = ( i² + j² )

    = ( 5² + 10² )

    = 25 + 100

∴ R = √ (25 + 100) = 5√5

ii) Determine the direction of resultant force

Tan ∅ = opposite / adjacent   ( vertical force ( j ) / horizontal force ( i ) )

         =  10 / 5 = 2

∅ = arctan ( 2 ) ≈ 63.4°

∴ direction of resultant force = 163.4° NE

Hence we can conclude that the resultant ( net force ) = 5i + 10 j  and The magnitude and direction of this net force

   magnitude of net force = 15   direction of net force = 1.107° NE

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Philip drives his car at a velocity of 28 m/s he applies the break which slows the vehicle down at a rate of six. 4 m/s2 and it causes it’s to slow to stop how long does it take for the car to stop answer to the nearest 10th?

Answers

For this case we have that the final speed is given by:

Where,
a: acceleration
vo: initial speed
t: time
Clearing the time we have:

Substituting values we have:

it takes 4.375 s for the car to stop

why is science important for our understanding of the natural world?

Answers

With science, we can answer such questions without resorting to magical explanations. And science can lead to technological advances, as well as helping us learn about enormously important and useful topics, such as our health, the environment, and natural hazards.
With science, we can answer such questions without resorting to magical explanations. And science can lead to technological advances, as well as helping us learn about enormously important and useful topics, such as our health, the environment, and natural hazards.

You get out of school and walk north for 20 minutes to travel 1.6 km what is your average velocity?

Answers

Answer: 12.5 km/h

Explanation: 20/1.6 = 12.5 km/h

The average velocity of an individual will be "0.08 km/min". To understand the calculation, check below.

Distance and Velocity

According to the question,

Time, t = 20 minutes

Distance, d = 1.6 km

We know the formula,

Distance = Speed × Time,

Or,

Speed, v = [tex]\frac{Distance}{Time}[/tex]

By substituting the values,

               = [tex]\frac{1.6}{20}[/tex]

               = 0.08 km/min

Thus the avg. velocity will be "0.08 km.min" is correct.

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A fully loaded elevator at maximum capacity weighs 2400 lbs. The counterweight weighs 1000 lbs. The elevator always starts from rest at its maximum acceleration of g/4 whether it is going up or down. (a) What force does the wall of the elevator shaft exert on the motor if the elevator starts from rest and goes up

Answers

Answer:

2250lb

Explanation:

Using

1000-T=(1000/g)(g/4)

So

T = 750lb

Then

750+F-2400= 2400/9

So F= 2250lb

Two planets, Dean and Sam, orbit the Sun. They each have with circular orbits, but orbit at different distances from the Sun. Dean orbits at a greater average distance than Sam. According to Kepler's Third Law, which planet will have a longer orbital period? Group of answer choices Dean Sam Since they both have circular orbits, they will have the same orbital periods. There isn't enough information to tell.

Answers

Answer:

The correct answer is Dean has a period greater than San

Explanation:

Kepler's third law is an application of Newton's second law where the force is the universal force of attraction for circular orbits, where it is obtained.

                T² = (4π² / G M)  r³

When applying this equation to our case, the planet with a greater orbit must have a greater period.

Consequently Dean must have a period greater than San which has the smallest orbit

The correct answer is Dean has a period greater than San

Answer:

According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other.

Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star.

Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B.

Which of the following statements is true about the planets?

 A.

Planet B will keep orbiting its star longer than Planet A.

 B.

Planet A has a longer year than Planet B.

 C.

Planet A orbits its star faster than Planet B.

 D.

Planet B is more attracted to its star than Planet A.

Explanation:

10.A car is travelling at a constant speed of 27m/s. The driver looks away from the road for a 2.0s to tune in a station on the radio. How far does the car go during this time?

Answers

Explanation:

Distance = speed × time

d = (27 m/s) (2.0 s)

d = 54 m

URGENT HELP!! PLEASE ANSWER QUICK

Answers

A. It must provide water to certain areas of the farm

Answer:

im pretty sure it is B or D

At which point in time does an object with the motion represented in the graph have an
instantaneous acceleration of -2 m/s^2?

Answers

Answer:

4s.

Explanation:

Hello,

In this case, considering that the instantaneous acceleration is computed via the change in the velocity divided by the change in the time, at 4 s we can evidence that the instantaneous acceleration is -2m/s² since the initial velocity at t=0s is 8m/s and at t=4s the velocity is 0 m/s, meaning that such decrease accounts for a deceleration process which is represented by a negative acceleration, and the value is:

[tex]a=\frac{0m/s-8m/s}{4s-0s}\\ \\a=-2m/s^2[/tex]

Best regards.

A car is going 70 MPH down the road and hits a tree. The passenger is not wearing a seatbelt and goes through the windshield, explain why the driver remained in the car and the passenger did not. Be sure reference Newton’s first law in your explanation

Answers

Answer:

Inertia is the reason that people in cars need to wear seat belts. Instead, the riders continue moving forward with most of their original speed because of their inertia. If the driver is wearing a seat belt, the seat belt rather than the windshield applies the unbalanced force that stops the driver's forward motion.

Answer:

Explanation:

The driver was able to stay in the car because he or she had a seat belt on, the passenger did not have a seat belt on, therefore they were not able to stay in the car. Newton’s first law states “An object in motion stays in motion unless acted on by another force”. Therefore the passenger was yoinked out of the car.

Newtons third lawWhat action-reaction forces are involved when a rocket engine fires? Why doesnt a rocket need air to push on? Atction force:_______ Reaction Force:________

Answers

Answer: action forc roketorce

reaction force is engine fires

What is the definition of Unbalanced Forces in Science ?

Answers

Forces that cause a change in the motion of an object are UNBALANCED FORCES
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When an individual registers sensory input without being aware of the process consciously, __________ occurs. subliminal stimulation sensory adaptation signal detection processing absolute threshold

Answers

Answer:

Subliminal simulation

Explanation:

When an individual registers sensory input without being aware of the process consciously, Subliminal simulation occurs.

What is Subliminal simulation?

Subliminal stimulation defined as sensory stimulation which is below a person's threshold for perception.

It can't be seen by the bare eye or consciously heard. An example is visual stimuli which is flashed so quickly on a screen that a person can't process it. So, they are unaware they have seen anything.

Subliminal stimuli helps facilitate conscious processing of related information, changes the current mood, boost our motivation. It can even change a person's political attitudes and voting intentions.

When an individual registers sensory input without being aware of the process consciously, Subliminal simulation occurs.

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The flow rate of water through a tapered straight horizontal pipe fitting is 5 m/s. The diameter at the entrance is 0.7 m and is reduced by a factor of 0.6 at the exit. If the gauge pressure at the entrance is 350 kPa and drops by 50 Pa, the horizontal thrust on the fitting is,

Answers

Answer:

The  value is   [tex]F_t =  76024 \  N[/tex]  

Explanation:

From the question we are told that

  The  flow rate is  [tex]v_1 =  5 \  m/s[/tex]

   The  entrance diameter is  [tex]d =  0.7 \  m[/tex]

  The  exit diameter is evaluated as [tex]d_e  =  0.6  *  0.7 =  0.42  \  m[/tex]

   The entrance gauge pressure is  [tex]P_g =  350 \  kPa =  350*10^{3} \  Pa[/tex]

    The  droped gauge  pressure is  [tex]P_d =  50 \  kPa =  50*10^{3} \  Pa[/tex]

 The presure at the exist is evaluated as  [tex]P_e =(350  -    50 ) \  kPa =  300*10^{3} \  Pa[/tex]

Generally the entrance cross-sectional area is mathematically represented as

     [tex]A =  \pi \frac{d^2}{4}[/tex]

     [tex]A = 3.142 \frac{0.7^2}{4}[/tex]

      [tex]A =0.385 \ m^2[/tex]

Generally the exit  cross-sectional area is mathematically represented as

        [tex]A_e =  \pi \frac{d_e^2}{4}[/tex]

     [tex]A_e = 3.142 \frac{0.42^2}{4}[/tex]

      [tex]A_e =0.139\ m^2[/tex]

Generally from the continuity equation

    [tex]v_1 * A  =  v_2 * A_e[/tex]

=>  [tex]v_2  =  \frac{v_1 * A}{A_e}[/tex]

=>  [tex]v_2  =  \frac{5 * 0.385}{0.139}[/tex]

=>  [tex]v_2  =  13.8 m/s [/tex]

Generally the net force in horizontal axis is equivalent to the net momentum change in the horizontal direction

So

     [tex]P_g *  A +  F_t - P_e *  A_e  =  P_d [ A_e * v_2^2 -  A* v_1^2][/tex]

Here  [tex]F_t[/tex] is the horizontal thrust on the fitting

So  

        [tex]350*10^{3} * 0.385  +  F_t -0.385  *  0.139  =  50*10^{3} [ 0.385* 13.8^2 -  0.385* 5^2][/tex]

         

     

A solid, insulating sphere of radius 40.0 cm has positive charge distributed uniformly throughout its volume. The electric field at a distance of 80.0 cm from the center of the sphere is 6.00 N/C. What is the electric field at a distance of 20.0 cm from the center of the sphere (in N/C)

Answers

Answer:

The correct answer to the following question will be "12.0 N/C".

Explanation:

As we know,

Charged from the inside of the sphere throughout consideration of the electrical field or inside sphere.  

⇒  [tex]E_0=\frac{KQ}{r_0^{2}}[/tex]

Now,

⇒  [tex]Q=\frac{E_0r_0^{2}}{k}[/tex]

On putting the values in the above formula, we get

⇒      [tex]=\frac{6.00\times 80.0}{9\times 10^9}(\frac{10^{-2}}{2})^2[/tex]

⇒      [tex]=4.267\times 10^{-10} \ C[/tex]

Electric field within the sphere at that same distance of 20.0 cm from either the core.

⇒  [tex]E_i=\frac{kQr_i}{R^3}[/tex]

On putting the values, we get

⇒      [tex]=\frac{(9\times 10^9)(4.267\times 10^{-10})(20.0)}{(80.0)^3(\frac{10^{-2}}{1} )^2}[/tex]

⇒      [tex]=12.0 \ N/C[/tex]

A Me and Ed's Pizza has 16 slices. John eat 7/12pieces of pizza. Harold

finished 4/23 pieces of pizza. If there was only 23of a piece left over, how

much pizza did Betty eat?

Answers

Answer:

Explanation:

Total number of slices in the pizza = 16

Total number ate by John,

J = 7/12 * 16 = 28/3 = 9.3

Total number ate by Harold,

H = 4/23 * 16 = 2.783

Total number left over

L = 1/23 * 16 = 0.696

Total number ate by Betty

B = ?

All we have to do to get the total number eaten by Betty is to sum up that eaten by Harold and John, including the left over, then subtract it from the total pizza slices.

Betty = Total - (Harold + John + Left Over)

Betty = 16 - (9.3 + 2.783 + 0.696)

Betty = 16 - 12.779

Betty = 3.221

Therefore, Betty ate 3.221 of the total pizza as a whole

Car B is following car A as they are moving along a straight path with vA=40 mph and vB=45 mph. At the moment when the distance between the cars is 45 ft brakes are applied simultaneously in both cars. Car A decelerates with aA=−22 ft/s2 and car B with aB=−20 ft/s2. What is the distance between the cars when they are both stopped?

Answers

Answer:

s = 14.3 ft

Explanation:

First we need to calculate the distances traveled by both the cars. We use third equation of motion for that:

2as = Vf² - Vi²

where,

a = acceleration

s = distance

Vf = Final Velocity

Vi = Initial velocity

FOR CAR A:

Vi = Va = (40 mph)(5280 ft/1 mile)(1 h/3600 s) = 58.66 ft/s

Vf = 0 ft/s

a = aA = - 22 ft/s²

s = sa = ?

Therefore,

2(- 22 ft/s²)(sa) = (58.66 ft/s)² - (0 ft/s)²

sa = 78.2 ft

FOR CAR B:

Vi = Vb = (45 mph)(5280 ft/1 mile)(1 h/3600 s) = 66 ft/s

Vf = 0 ft/s

a = aB = - 20 ft/s²

s = sb = ?

Therefore,

2(- 20 ft/s²)(sb) = (66 ft/s)² - (0 ft/s)²

sb = 108.9 ft

Since, the car A was initially 45 ft ahead of car B. Therefore,

sa = 45 ft + 78.2 ft = 123.2 ft

Now, the distance between the cars will be:

s = sa - sb

s = 123.2 ft - 108.9 ft

s = 14.3 ft

An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a speed of 9.40 m/s in 3.50 s. (a) What is the magnitude and direction of the bird’s acceleration? (b) Assuming that the acceleration remains the same, what is the bird’s velocity after an additional 1.20 s has elapsed?

Answers

Answer:

a) Magnitude = 1.03 m/s², Direction: south

b) [tex]V_{f} = 8.16 m/s [/tex]

Explanation:

a) The magnitude and direction of the acceleration can be calculated using the following equation:

[tex] V_{f} = V_{0} + at [/tex]     (1)

Where:

[tex]V_{f}[/tex]: is the final speed = 9.40 m/s  

[tex]V_{0}[/tex]: is the initial speed = 13.0 m/s

t: is the time = 3.50 s

Solving equation (1) for a, we have:

[tex] a = \frac{V_{f} - V_{0}}{t} = \frac{9.40 m/s - 13.0 m/s}{3.50 s} = -1.03 m/s^{2} [/tex]

Hence, the magnitude of the acceleration is 1.03 m/s² and the direction of the bird's acceleration is the opposite of the initial velocity direction, which means that the bird is decelerating.  

b) The final velocity of the bird can be found using the same equation 1:

[tex] V_{f} = V_{0} + at [/tex]

[tex] V_{f} = 13.0 m/s + (-1.03 m/s^{2})*(3.50 s + 1.20 s) = 8.16 m/s [/tex]

Therefore, the bird’s velocity after an additional 1.20 s has elapsed is 8.16 m/s.

I hope it helps you!

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