Activity: Solve each problem involving acceleration. Be sure to show all solutions and to use the correct units. 1. While traveling along a highway a driver slows from 45 m/s to 15 m/s in 12 seconds. What is the automobile's acceleration? 2. A biker accelerates at a rate of 7 m/s2. How long will it takes the biker to reach a speed of 18 m/s?

Answers

Answer 1

Answer:

1. a = - 2.5 m/s²

2. t = 2.57 s

Explanation:

1.

The acceleration of the driver can be found using the first equation of motion:

[tex]v_f = v_i + at[/tex]

where,

vf = final speed = 15 m/s

vi = initial speed = 45 m/s

a = acceleration = ?

t = time = 12 s

Therefore,

[tex]15\ m/s = 45\ m/s +a(12\ s)\\\\a = \frac{15\ m/s-45\ m/s}{12\ s}[/tex]

a = - 2.5 m/s²

negative sign indicates deceleration

2.

The time taken by the biker to accelerate can be found by using the first equation of motion again:

[tex]v_f = v_i + at[/tex]

where,

vf = final speed = 18 m/s

vi = initial speed = 0 m/s

a = acceleration = 7 m/s²

t = time = ?

Therefore,

[tex]18\ m/s = 0\ m/s +(7\ m/s^2)t\\\\t = \frac{18\ m/s}{7\ m/s^2}[/tex]

t = 2.57 s


Related Questions

A bmw 23 goes from 0 to 60 miles per hour in 5 seconds . It is also used in the second law of motion

Answers

Answer:

Acceleration = 5.3645 m/s²

Explanation:

Given the following data;

Initial velocity, u = 0mph

Final velocity, v = 60 mph

Time, t = 5 seconds

To find the acceleration (also used in the second law of motion), we would use the following formula;

A = (v - u)/t

Conversion:

Miles per hour to meters per seconds;

0 mph = 0 mps

1 mph = 0.44704 mps

60 mph = 60 * 0.44704 = 26.8224 mps

Next, we find the acceleration;

Acceleration = (26.8224 - 0)/5

Acceleration = 26.8224/5

Acceleration = 5.3645 m/s²

In a concave mirror, if the object is located beyond the center of curvature the image formed is real, inverted, and smaller than the object. but, if the object is located between the center of curvature and the focal point, the image is real, inverted, and ____ Than the object
A) Also smaller
B) Lager
C) The same size
D) Disappears

Answers

B i think its b im not sure if its right

A ball is initially moving with a velocity 0.5m/s. Its velocity decreases at a rate of 0.05m/s^2. How much time will it take to stop? How much distance will the ball travel before it stops

Answers

Answer:  t = 10 s , s = 2,5 m

Explanation:   (1) Speed v = v0 + at and (2) distance s = v0t + ½at².

Now  v0 = 0.5 m/s , v = 0 and a = -0.05 m/s²

Solve from equation (1)   t = -v0 / a = - 0.5 m/s / -0.05 m/s² =   10 s

Add t = 10 s to equation (2 )   s = 0.5 m/s · 10 s + 0.5· (-0.05 m/s²)· (10 s)²

= 5 m - 2,5 m = 2,5 m

Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 2000 kg. The thrust of its engines is 8600 N. Calculate its acceleration in a vertical takeoff from the Moon.

Answers

Answer:

The acceleration during the take-off from the moon is 4.3 m/s²

Explanation:

Given;

the mass of the fully-loaded module, m = 2000 kg

The thrust of its engines,  F =  8600 N

Apply Newton's second law of motion to determine the acceleration during the take-off from the moon;

F = ma

where;

a is the acceleration

a = F / m

a = 8600/2000

a = 4.3 m/s²

Therefore, the acceleration during the take-off from the moon is 4.3 m/s²



The tools to distinguish the thickness of two objects of thickness of 1.92mm and the other with thickness of 1.93mm is ?

Answers

Answer:

the instrument that gives this precision is the micrometer screw

Explanation:

The high precision measurements of small parts are the general vernier and the micrometer screw.

In these two instruments the same principle is used: there is a fixed rule and a mobile one that increases precision.

Let's analyze the absolute error or precision of each instrument

* For the vernier, the precision of the fixed rule is 1 mm and there are 20 divisions (the most common); therefore the precision of the instrument is

            Δx = 1 mm / 20

            Δx = 0.05 mm

* For the micrometer screw, the precision of the fida rule is 0.5 mm and the number of divisions is 50, therefore the precision of the screw is

            Δx = 0.5mm / 50

            Δx = 0.01 mm

consequently the instrument that gives this precision is the micrometer screw

A ball rolled 12.0 m [E] in 10.0 s, hit an obstacle, and rolled straight back. After the collision, the ball rolled 8.00 m [W] in 6.00 s. What was the average velocity of the ball?

Answers

Answer:

the average velocity of the ball is 5 m/s.

Explanation:

Given;

initial position of the ball, x₁ = 12 m East

final position of the ball, x₂ = 8 m West

initial time of motion, t₁ = 10.0 s

final time of motion, t₂ = 6.0 s

The average velocity is calculated as follows;

[tex]v = \frac{\Delta x}{\Delta t} = \frac{x_1 \ - \ x_2}{t_1 \ - \ t_2}[/tex]

let the Eastward direction be positive

Let the westward direction be negative

[tex]\frac{x_1 \ - \ x_2}{t_1 \ - \ t_2} = \frac{12 \ - \ (-8)}{10 -6}= \frac{20}{4} = 5 \ m/s[/tex]

Therefore, the average velocity of the ball is 5 m/s.

I only need the answers for 7 and 8! No need to write a sentence on what it’s about. ( sorry if the picture is small) thank you <3

Answers

Answer:

question 7,  MOON ECLIPSE

question 8, SUM ECLIPSE

Explanation:

We call an eclipse when a celestial body is interposed between the sun and another body.

In all the case of question 7, the Earth is interposed between the moon and the Sun, which is why it is called MOON ECLIPSE

In the case of question 8, the Moon stands between the sun and the Earth and is called the SUM ECLIPSE .

A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).

Answers

Answer:

P = 5sin(880πt)

Explanation:

We write the pressure in the form P = Asin2πft where A = amplitude of pressure, f = frequency of vibration and t = time.

Now, striking the middle-A tuning fork with a force that produces a maximum pressure of 5 pascals implies A = 5 Pa.

Also, the frequency of vibration is 440 hertz. So, f = 440Hz

Thus, P = Asin2πft

P = 5sin2π(440)t

P = 5sin(880πt)

What is/are the products in the chemical equation?

Answers

Answer:NH3

Explanation: product s are the result of the equation

[tex]\huge{ \mathfrak{ \underline{ Answer }}}࿐[/tex]

The balanced Chemical equation for above reaction is :

[tex] \mathrm{N_2 + 3H_2 \rightarrow 2NH_3}[/tex]

The product formed here is [tex]NH_3[/tex] (Ammonia)

[tex] \\ \\ \\ \\ \\ \\ [/tex]

[tex] \#TeeNForeveR[/tex]

According to the cell theory where do cells come from?

Answers

Answer:

Cells come from other pre-existing cells

Explanation:

Answer:

Cell discovery and cell theory

Matthias Schleiden and Theodor Schwann conclude that all living organisms are made of cells, and that cells can be produced from other cells. Rudolf Virchow confirms that all cells must come from pre-existing cells.

Explanation:

i looked it up

Argon, atomic number 18, has an atomic weight of 39.9. Potassium, atomic number 19, has an atomic weight of 39.1. Which of these statements best explains why potassium has a lower atomic weight than argon?

A.
Potassium is reactive, while argon is typically inert.

B.
Potassium atoms lose electrons more easily than argon atoms.

C.
Potassium is typically a solid, while argon is typically a gas.

D.
Potassium atoms usually have fewer neutrons than argon atoms.

Answers

Answer: D

Explanation:

Atomic weight is measured by adding the number of protons and neutrons in an atom's nucleus. Argon's atomic number is 18 while potassium's is 19. This means that Argon will always have 18 protons while potassium will always have 19 protons.

To make the numbers easier to work with, round each atomic weight. We'll say the atomic weight of potassium is 39 and the atomic weight of argon is 40. To see how many neutrons each one has, I can set up a simple equation for each using the following equation:

Atomic weight = protons + neutrons

Potassium:

39 = 19 + N  -->  N = 20

Argon:

40 = 18 + N  -->  N = 22

An atom is defined by the number of protons it has, but the number of neutrons can vary. We call these isotopes, or atoms with the same number of protons but a different number of neutrons. As the math shows, argon typically has more neutrons per atom than potassium does.

What is the current measured by ammeter 4?

Answers

Answer:

I dont know

Explanation:I dont know either

what happens to the heat energy when you increase the length of an object​

Answers

Answer: When the temperature of an object increases, the average kinetic energy of its particles increases. When the average kinetic energy of its particles increases, the object's thermal energy increases. Therefore, the thermal energy of an object increases as its temperature increases.

Calculate the energy transfered when 3 of copper is heated from 20°C to 220°C

Answers

Answer:

Q = 231.6 J

Explanation:

Given that,

Mass, m = 3 g

The temperature rises from 20°C to 220°C.

We know that, the specific heat of copper is, c = 0.386 J/g K

We know that the energy transferred in heating of copper is given by :

[tex]Q=mc\Delta T\\\\Q=3\times 0.386\times (220-20)\\\\Q=231.6\ J[/tex]

So, the required energy is equal to 231.6 J.

True or False? The most reactive metals are found in Period 1 of the Periodic Table.

Answers

Hydrogen is a very reactive gas, and the alkali metals are even more reactive. In fact, they are the most reactive metals and, along with the elements in group 17, are the most reactive of all elements.

Answer:

Explanation:

true

I've got a test tomorrow morning help!
A 100.0 W incandescent light bulb emits about 1.6 J of energy as useful, visible light each second. What is its efficiency?

Answers

Answer:

The efficiency is just 0.016

Explanation:

The efficiency is given by the useful energy ÷ by the total energy.

1 W is the same that 1 joule per second

If you do the math:

1.6/100=0.016

Two boxes are connected by a string. The first box has a mass of 4.2 kg and the
second 2.8 kg. A string attached to the first box pulls horizontally with a force of
7.5 N. Calculate the tension in the second string if the force of friction on the first
box is 2.0 N and the force of friction on the second is 1.6 N.

Answers

Answer:

........

Explanation:

Define Velocity.
Ty!​

Answers

Velocity is rate of change of position wrt frame of reference and time or alternately it's a speed with direction!

An acceleration of +3.5 m/s² results when two forces act on an object. The first
force is 100 N to the right and the second force is 40 N to the right. (A) What is
the net force on the object? (B) What is the object's mass?

Answers

Answer:

Explanation:

Since the forces oppose each other (direction), the smaller is subtracted from the larger. The net force is

Fn = 100 - 40 = 60

Part B

Fn = m * a

a = 3.5 m/s^2

Fn = 60

60 =  m * a

60 = m * 3.5           Divide by 3.5

60/3.5 = m

m = 17.143

Which wave type does interference affect more?

digital
analog

Answers

Answer:

interference affects analog more

Explanation:

17. ____ Objects with more mass have
a. more gravity b. less gravity
c. more acceleration
d. less inerties

Answers

a. more gravity

This is the answer.

can someone please help thank u
(. ^ ᴗ ^. )​

Answers

3) The answer is (b) -8 m/s (pointing down)

4) The answer is (c) -9.8 m/s^2 (acceleration of a freely falling object is always due to gravity, -9.8 m/s^2, regardless of direction)

If you were in a pool or ocean, what could you say about the amount of energy in a wave and the amptitude

Answers

Answer:

The amount of energy in a wave and the amplitude depends on the force applied.

Explanation:

The amount of energy in a wave is directly related to the amplitude means if the the amount of energy in a wave increases, the amplitude of that wave also increases whereas if the the amount of energy in a wave decreases the amplitude of the wave also decreases. If you jump into the pool from a higher elevation, increase occur in the amount of energy in a wave and also higher the amplitude while on the other hand, slower movement in the pool leads to smaller wave energy and lower amplitude.

A hunter stood at about 60 m away from a tree. He used the bow to release the arrow in order to shoot a coconut held by a monkey in the tree. The coconut was at a height of 25 m from the ground. The hunter aimed directly at the coconut and the arrow left the bow at 45 m/s making an angle of 20 degree to the horizontal. At the moment thebhunter released the arrow, the monkey dropped the coconut such that it falls vertically from rest. Neglect air resistance and the arrow's size. What is the time taken for the arrow to hit the coconut?​

Answers

Answer:

[tex]v = u + at (upward)\\ 0 = 45 \sin(20) - 9.81t \\ t = 1.56s[/tex]

A woman on a 10-speed bicycle travels at 9m/s relative to the ground as she passes a little boy on a tricycle going in the opposite direction. If the boy is travelling at 1m/s relative to the ground , how fast does the boy appear to be moving relative to the woman

Answers

Answer:

23

Explanation:

Elements : Atoms :: Covalent compounds:____

Answers

Answer:

Hcl

Explanation:

Hydrogen and chlorine charge electrons and are non metals while compounds with metals are ionic

Two boulders have masses of 7.5 x 106 kg and 9.2 x 105 kg. After rolling apart, their centers are separated by a distance of 124 m. Find the gravitational attraction FG between them.

Answers

Answer:

0.0299 N

Explanation:

Applying,

F = Gmm'/r²................... Equation 1

Where F = gravitational force between the boulders, m = mass of the first boulder, m' = mass of the second boulder, r = distance between the boulders, G = Universal constant.

From the question,

Given: m = 7.5×10⁶ kg, m' = 9.2×10⁵ kg, r = 124 m

Constant: G = 6.67×10⁻¹¹ Nm²/kg²

Substitute these values into equation 1

F = (6.67×10⁻¹¹× 7.5×10⁶ × 9.2×10⁵ )/124²

F = (460.23)/15376

F = 0.0299 N

Answer:

0.3 N

Explanation:

Plug in all your variables:

6.67 ⋅ 10^-11 (7.5 ⋅ 10^6) (9.2 ⋅ 10^5)

                    --------------------------------

                                 (124)^2

Once you plugin, You start to multiple solving to solve your problem:

460.23

----------      = 0.02993171 N

15376

Now Simplify:

Answer = 0.03 N

How many kilowatt hours of energy did you use if you use your 1200 watt hair dryer for 6 minutes a day for a month

Answers

Answer:

1Kilowatt =1000watts

Now

Energy =Power x time

We need our power in Kilowatt and Our time in hours

Given

Power = 1200Watt

Divide this by 1000... To get its value in Kilowatt

Power = 1.2kilowatt

Time=6min

Divide by 60 to get its value in hours

Time = 6/60hr = 0.1hrs

Energy = 1.2kilowatt x 0.1hrs

=0.12kilowatt hours

Two disks are rotating about the same axis Disk A has a moment of inertia of 3.44 kg m2 and an angular velocity of 5.69 rad s Disk B is rotating with an angular velocity of 7.03 rad s The two disks are then linked together without the aid of any external torques so that they rotate as a single unit with an angular velocity of 4.23 rad s The axis of rotation for this unit is the same as that for the separate disks What is the moment of inertia of disk B

Answers

Answer:

The moment of inertia of disk B is 0.446 kilogram-square meters.

Explanation:

In this case, the moment of inertia of the disk B can be determined by means of the Principle of Conservation of Angular Momentum, whose model is:

[tex]I_{A}\cdot \omega_{A} + I_{B}\cdot \omega_{B} = (I_{A} + I_{B})\cdot \omega[/tex] (1)

Where:

[tex]I_{A}[/tex], [tex]I_{B}[/tex] - Moments of inertia of disks A and B, in kilogram-square meters.

[tex]\omega_{A}[/tex], [tex]\omega_{B}[/tex] - Initial angular velocities of disks A and B, in radians per second.

[tex]\omega[/tex] - Final angular velocity of the resulting system, in radians per second.

Let suppose that disk A rotates counterclockwise, whereas disk B rotates clockwise and that resulting system rotates counterclockwise. If we know that [tex]I_{A} = 3.44\,kg\cdot m^{2}[/tex], [tex]\omega_{A} = 5.69\,\frac{rad}{s}[/tex], [tex]\omega_{B} = -7.03\,\frac{rad}{s}[/tex] and [tex]\omega = 4.23\,\frac{rad}{s}[/tex], then the moment of inertia of the disk B is:

[tex]I_{A} \cdot (\omega_{A} - \omega) = I_{B}\cdot (\omega - \omega_{B})[/tex]

[tex]I_{B} = I_{A}\cdot \left(\frac{\omega_{A}-\omega}{\omega - \omega_{B}} \right)[/tex]

[tex]I_{B} = (3.44\,kg\cdot m^{2})\cdot \left(\frac{5.69\,\frac{rad}{s} - 4.23\,\frac{rad}{s} }{4.23\,\frac{rad}{s} + 7.03\,\frac{rad}{s} } \right)[/tex]

[tex]I_{B} = 0.446\,kg\cdot m^{2}[/tex]

The moment of inertia of disk B is 0.446 kilogram-square meters.

describe the energy changes in mass-spring system that is oscilating horizontally.​

Answers

Answer:

Explanation:

l etme y lo saoc apr aotarsy  r dealkten dpo

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