a cyclist traveling at constant speed of 12m/s when he passes a stationary bus.The bus starts moving just as the cyclist passes and accelerates uniformly at 1.5ms²
a) When does the bus reach the same speed as the cyclist?
b)how long does the bus take to catch the cyclist?
c) What distance has the cyclist travelled travelled before the bus catches up?​

Answers

Answer 1

Answer:

A.) 8 seconds

B.) 16 seconds

C.) 48 m

Explanation:

Given that a cyclist traveling at constant speed of 12 m/s

and the bus accelerates uniformly at 1.5ms²

A.) The bus has the following parameters

Acceleration a = 1.5 m/s^2

Initial velocity U = 0. Since the bus is starting from rest.

Final velocity V = 12 m/s

Use equation one of linear motion.

V = U + at

Substitute V, U and a into the formula

12 = 0 + 1.5t

1.5t = 12

t = 12/1.5

t = 8 seconds

Therefore, the bus reach the same speed as the cyclist at 8 seconds.

B.) For the cyclist moving at constant speed, acceleration a = 0. Using second equation of motion

h = Ut + 1/2at^2

Since a = 0, the equation is reduced to:

h = Ut.

Also, for the bus,

h = Ut + 1/2at^2

Equate the two equations since the h is the same

Ut = Ut + 1/2at^2

Substitute all the parameters into the formula

12t = 0 + 1/2 × 1.5t^2

12t = 0.75t^2

0.75t = 12

t = 12/0.75

t = 16 seconds

Therefore, the bus takes 16 seconds to catch the cyclist

C.) Use third equation of linear motion.

V^2 = U^2 + 2as

Where s = distance

Substitute V, U and a into the formula

12^2 = 0 + 2 × 1.5 S

144 = 3S

S = 144/3

S = 48 m


Related Questions

A car has a mass of 8000 kg and a kinetic energy of 24,000 J. What is its
speed?
A. 1.7 m/s
B. 2.4 m/s
C. 6 m/s
D. 3 m/s

Answers

Answer:

2.4

Explanation:

48,000/8000=6

square root of 6 = 2.44948974278

so 2.4

AnswerB.2.4m/s

Explanations;

24000=1/2×8000×v^2

24000/4000=v^2

6.=v

v=2.4

Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal? increasing the inertia of the car decreasing the reaction force increasing the action force decreasing the mass of the car Mark this and return

Answers

Answer:

d. decreasing the mass of the car

Explanation:

Engineers are trying to improve race cars. Their goal is to increase the acceleration of the car using the same engine, it can be achieved by decreasing the mass of the car, therefore the correct answer is option C.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine,

The acceleration of the car can be increased by decreasing the mass of the car assuming the engine of the car is producing the same amount of force.

Thus, the acceleration can be increased by decreasing the mass of the car, therefore the correct answer is option C.

To learn more about Newton's second law, here refer to the link given below ;

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Waves that collide with a barrier will reflect at an angle equal to the angle of incidence.
True
False

Answers

Answer:

True

Explanation:

This is a fundamental concept in physics dealing with the nature of waves where when the waves collide with a barrier such as wall or some form of surface will reflect at an angle equal to the angle of incidence.

Answer:
The answer is true

HELP!!!!!!!!!!!! i will mark you brainliest!!!!!!!!!!!!!!!!!!!!!! Which type of agricultural product uses the LEAST amount of water to produce? A lamb B vegetables C beef D fruits

Answers

Answer:

your anwser should be B- vegetables.

Plz Help me with this ?

Answers

Answer:

the answer is c part.

Explanation:

hope it helps.

Answer:

The answer is C How many times the heart beats in one minute.

Which of the following is a personal decision that involves science A)It is immoral to cheat on your homework? B)what movie will I like the most this weekend? C)will an air purifier reduce the dust in my house? D)is $100 a reasonable price for a cell phone?

Answers

Answer:

C because air purifier is very essential in dusty homes .

Answer:C

Explanation: The answer is C because an air purifier purifies the air in your room which is science.

What happens to the gravitational force between two objects as the distance between them decreases?

Answers

Answer:

gravitational force increases

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are brought closer to each other, the force of gravitational attraction between them also increases.

Please answer this question

Answers

Answer:

Volume of the tank = 3m³

Mass of total water = 3,000 kg

Explanation:

Given:

Measurement of tank = 2m × 1.5m × 1m

Density = 1,000 kg/m³

Find:

Volume of the tank.

Mass of total water.

Computation:

⇒ Volume of the tank = lbh

Volume of the tank = 2m × 1.5m × 1m

Volume of the tank = 3m³

⇒ Mass of total water = Volume of the tank  × 1,000 kg/m³

Mass of total water = 3m³ × 1,000 kg/m³

Mass of total water = 3,000 kg

Answer:

length x width x height = volume

2 x 1.5 x 1 = 3m

3m^3 is the volume

1000 km/ m^3 x 3m^3 = 3000^3 km

Hope this helps

Explanation:

A camera lens focuses on an object 75.0 cm from the lens. The image forms 3.50 cm behind the lens. What is the magnification of the image?

Answers

Answer:

The answer is -.047.

Explanation:

Solved by taking -3.5 over 75. Correct on Acellus.

What is the slope of the line plotted below?

A. 1
B. -2
C. 2
D.-1

Answers

A.1 hope this helps !

Answer:

B. -2

Explanation:

Since the line is coming from the top left to the bottom right, you know the line is going to be negative.

If you take two points, so (0,1) and (1,-1), and use the formula y2-y1/x2-x1, after substitution you should get -1-1/1-0. If you simplify, the answer should be -2/1 or -2.

A pushing force of 12 N is applied on a box for 32 ms. What is the magnitude of the impulse of this force?

Answers

Answer: magnitude of the impulse of this force is 0.384 Ns

Explanation:

Given the following :

Pushing force (F) = 12N

Duration of the force = time (t) = 32ms, hence, time = 32 × 10^-3 seconds

The impulse of a body is given by the product of the force and the duration of the applied force ;

Therefore impulse = F × t

Impulse = 12 (N) × (32 × 10^-3) (s)

Impulse = 384 × 10^-3

Impulse = 0.384 Ns

what are AR,L,K in the periodic table

Answers

Answer:

Argon, Lithium and Potassium

Explanation:

Answer:

AR=Argon, L=Lithium K=Potassiaum

Explanation:

when taking a shower are girls suppose to wipe front to back ?

Answers

Answer:

Explanation:

I don't think it matters while taking a shower, however, while using the restroom, it is especially encourgaed to wipe front to back. The reasoning behind this is to prevent UTI's that are transferred by fecal particles and bacteria from the anus into the vagina. Hope this helps:)

I think you should always wipe front to back to prevent any type of bacteria from getting near you know..

Why is this equation wrong?

Answers

Answer:

It is not possible to find the square root in such a way

Explanation:

Which of the following is an example of heat convection?

Answers

I believe it’s a liquid inside a beaker on a hot Bunsen burner (c)

This is because : Everyday Examples of Convection
Boiling water - The heat passes from the burner into the pot, heating the water at the bottom. Then, this hot water rises and cooler water moves down to replace it, causing a circular motion. Radiator - Puts warm air out at the top and draws in cooler air at the bottom.

Not sure if it’s right tho!

Answer:

Liquid inside a beaker on a hot Bunsen burner circulates and heats through constant motion.

Explanation:

Transmission of heat by convection requires the movement of a liquid or gas. An example would be liquid in a beaker heating up as hot and cold parts of the liquid constantly circulate, which further heats the liquid. Heat from the sun is considered radiation, and the other two answers are examples of conduction.

How is an ammeter connected to a circuit?

Answers

Answer:

Ammeter- It is an instrument use to measure the amount of current passing through the circuit.

In a circuit an Am-meter is connected in series with the device to measure its current.

Helloyo!


Ammeter is a device which measures Current in an Electric Circuit

Ammeter is connected in series *before* the resistances in an Electrical Circuit


Hope it helps ya

A 24.8 tall object is placed in front of a lens, which creates a -3.09 cm tall image. What is the magnification?

Answers

Answer: 0.125

Explanation:

Given that the

Object height U = 24.8 cm

Image height V = 3.09 cm

Magnification M is the ratio of the image height to the object height. That is, divide the given image height by the given object height.

M = V/U

Substitute V and U into the formula above.

M = 3.09/24.8

M = 0.125

Magnification is therefore equal to 0.125 approximately

Answer:

-0.125.

Explanation:

The previous explanation is right except for that it doesn't take into account that the -3.09 is negative – therefore, the positive answer is incorrect.

-0.125 is correct on Acellus.

The diagram illustrates the evolution of the universe, starting from the big bang. Each concentric circle represents a stage in the evolution as stated by the big bang theory. The arrows illustrate the changes that happened after the big bang and leading up to the stage where gases were formed that later led to the formation of stars and galaxies. Choose the inaccurate statements on the diagram.

Answers

Answer:  The two correct answers are Universe became more dense and universe became less transparent.

Explanation: I took the test  and those are correct

The incorrect statements on the diagram universe became more dense Universe became less transparent.

What is the universe?

The universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, and the stars along with the dust, gases, and rocks form the universe.

The big bang is the theory that explains how the universe began. It says that the universe began with just a single point. It went on expanding and stretched to grow as large as possible. It is still now expanding.

The diagram (attached) illustrates the evolution of the universe, starting from the big bang. Each concentric circle represents a stage in the evolution as stated by the big bang theory.

Thus, the inaccurate statements on the diagram universe became more dense Universe became less transparent.

Learn more about the universe.

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Compute the conductivity of a conductor with a length of 2.0 cm and a cross-sectional area of 0.060 cm2, whose conductance is 3.5 x 103 ohms. σ = _____ ohm-1cm-1 A: 1.2 x 10 5 B: 2.9 x 10 -4 C: 1.1 x 10 2 D: 1.9 x 10 6

Answers

Answer: A

Explanation:

You are given the following parameters:

Length L = 2.0 cm and

cross-sectional area A = 0.060 cm^2

Conductance = 3.5×10^3 ohms

Conductance is a reciprocal of resistance R

Conductance = (σ × A)/L

Where σ = conductivity

Substitutes all the parameters into the formula

3.5×10^3 = (0.06 × σ)/2

Cross multiply

7×10^3 = 0.06σ

Make σ the subject of formula

σ = 7000/0.06

σ = 116666.67 ohm-1cm-1

σ = 1.2 ×10^5 ohm-1cm-1 approximately

Answer:

1.2 ×10^5

Explanation:

The degree to which a liquid resists flowing is called _____.

Answers

Answer:

Viscosity is a measure of how much a liquid resists flowing freely.

Answer:

velosity is the anser

Explanation:

sorry for the spelling

This is an example of A) alpha decay B) beta decay C) gamma decay D) half-life decay

Answers

Answer:

The answer is option A.

alpha decay

Hope this helps

A box having a mass of 0.2 kg is dragged across a horizontal floor by
means of a rope tied on the front of it. The coefficient of sliding friction
between the box and the floor is 0.2. If the angle between the rope and
the floor is 15º, what force must be exerted on the rope to move the box
at constant speed.

Answers

you can check attachment for answer.

kind regards

A force of 0.385 N must be exerted on the rope to move the box at a constant speed.

What is kinetic friction?

Kinetic friction can be explained as a force that applies between moving surfaces of objects. A body moving on the surface will experience a force in the opposite direction. The friction force will depend on the coefficient of kinetic friction between the two bodies.

The mathematical expression of the kinetic friction can be represented as:

F = μ N

where 'μ' represents the coefficient of Kinetic friction.

Given, the mass of the box, m = 0.2 Kg

The coefficient of friction, μ = 0.2

The angle, θ = 15°

From the second law of motion:

F = ma

Fcosθ - f = 0

Fcosθ = μ N

[tex]\displaystyle F =\frac{\mu mg}{cos\theta + \mu sin\theta}[/tex]

[tex]\displaystyle F =\frac{0.2\times 0.2\times 9.8}{cos15 + 0.2 sin15}[/tex]

F = 0.385 N

Therefore, the force exerted is equal to 0.385 N.

Learn more about kinetic friction, here:

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PLS ANSWER (SCIENCE QUESTION) I WILL MARK U AS THE BRAINLIEST!!! PLS ANSWER REALLY EASY!!

Q1. Fill in the blanks:
1. __________________ are the building blocks of matter.
2. Each ________________ has a chemical symbol.
3. ________________ is used in oxy- acetylene flame for welding.
4. Noble gasses are also called __________________.
5. Dimitri Ivanovich Medeleeve arranged the elements systematically in _______________
6. Elements are the simplest kind of __.
7. Metals have __ melting and boiling points.
8. As you move from the left side of the periodic table to the right side, the elements become __________ .

Answers

Answer:

1. Atoms

2. element

A space capsule having a mass of 9.0×10^2 kg is projected vertically upwards from the Earth’s surface with an initial kinetic energy of 7.0×10^9 J. With no air resistance, determine the maximum distance from the center of the Earth attained by the capsule.

Answers

Answer:

7.3 x 10^6 m

Explanation:

What is the resultant force?
8 NA
14 N
3N
3N
22 N

Answers

Answer:

option will be ''B'' 0N

Explanation:

There are two forces acting upward 8N and 14N which is equal to 22N(upward force)

since, 22N is also acting downwards

both the forces will cancel each other and the the outcome will be zero.

Now, there is a 3N force acting on the left and right. So, they too, will cancel each other and the result will be zero.

In simple words, the box won't move in any direction Since it's being pulled with equal strength from all sides.

hope this helps

What type of quantity is momentum?
It is a scalar quantity because it involves magnitude only.
It is a vector quantity because it involves magnitude only.
It is a scalar quantity because it involves magnitude and direction.
It is a vector quantity because it involves magnitude and direction.

Answers

Answer: It is a vector quantity because it involves magnitude and direction.

Explanation:

momentum has magnitude and direction

Magnitude is a Scalar quantity

direction is a vector quantity

scalar times a vector is a vector

The type of quantity momentum has is that of a vector and it is denoted as option D.

What is a Vector quantity?

This is the type of quantity which has magnitude and direction present in it and momentum has the both.

The formula is mass × velocity in which velocity is a vector quantity which makes it that too.

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Which method is used to separate parts of a solution when the entire solution can pass through a filter?

Answers

Answer:

Straining method

Explanation:

Straining method is the method that can be used to separate parts of a liquid mixture when the entire mixture can pass through a filter.

Which is not a compound?Which is not a compound? water gold sugar silicon dioxide

Answers

Answer:

gold, silicon

Explanation:

i think this is the write answer

Answer:

Gold is not a compound

Explanation:

What is the mechanical advantage of the simple machine pictured?

A. 8.3
B. 14.7
C. 1.9
D. 20.4

Answers

Answer:

[tex]D.\ 20.4[/tex]

Explanation:

The simple machine in the attachment is a screw; so, I'll list the given parameters using related terms

Given

Radius of the screw (r) = 2.6m

Pitch (P) = 0.8m

Required

Calculate the Mechanical Advantage (M.A)

M.A is calculated as thus;

[tex]MA = \frac{2\pi r}{P}[/tex]

Substitute 2.6 for r;  0.8 for P and 3.14 for [tex]\pi[/tex]

[tex]MA = \frac{2\pi r}{P}[/tex]

[tex]MA = \frac{2 * 3..14 * 2.6}{0.8}[/tex]

[tex]MA = \frac{16.328}{0.8}[/tex]

[tex]M.A = 20.41[/tex]

From the list of given options, the approximated answer is D. 20.4

How many electrons do carbon and oxygen share

Answers

Answer:

1  

Explanation:

To satisfy the Octet Rule, Carbon needs 4 more valence electrons. Since each Oxygen atom has 3 lone pairs of electrons, they can each share 1 pair of electrons with Carbon; as a result, filling Carbon's outer valence shell

Answer:

The Answer Is 4!!

Explanation:

Hope This Helps:)))

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