A man's higher initial acceleration means that a man can outrun a horse over a very short race. A simple - but plausible - model for a sprint by a man and a horse uses the following assumptions: The man accelerates at 6.0 m/s2for 1.8 s and then runs at a constant speed. A horse accelerates at a more modest 5.0 m/s2 but continues accelerating for 4.8 s and then continues at a constant speed. A man and a horse are competing in a 200 m race. The man is given a 100 m head start, so he begins 100 mfrom the finish line.

How much time does it take the man to finish the race? The horse? Who wins?

Answers

Answer 1

Answer:

 t_man = 10.16 s,   t_horse = 10.73 s,  the winner is the man

Explanation:

To solve this problem we are going to find the time of each one separately.

Man we look for distance and time during acceleration

         x₁ =  v₀ t₁ + ½ a₁ t₁²

as it comes out of rest its initial velocity is zero

        x₁ = ½ a₁ t₁²

        x₁ = ½ 6.0 1.8²

        x₁ = 9.72 m

at this point its speed is

        v₁ = v₀ + a t

        v₁ = 0 + 6  1.8

        v₁ = 10.8 m / s

From here on it continues at constant speed, the distance that the man needs to travel from the point where the man leaves at 100m is

        x₂ = 100 - x₁

        x₂ = 100- 9.72

        x₂ = 90.28 m

the time for this part is

        v₁ = x₂ / t₂

         t₂ = x₂ / v₂

         t₂ = 90.28 / 10.8

         t₂ = 8.36 s

the total time for the man is

        t_man = t₁ + t₂

        t _man = 1.8 + 8.36

        t_man = 10.16 s

We repeat the calculation for the horse

distance traveled during the acceleration period

         x₃ = v₀ t + ½ a₂ t₃²

as part of rest its initial velocity is zero

        x₃ = ½  a₂ t₃²

        x₃ = ½  5.0  4.8²

        x₃ = 57.6 m

the velocity at this point is

         v₃ = v₀ + a₂ t₃

         v₃ = 0 + 5  4.8

         v₃ = 24 m / s

the rest of the route is at constant speed, the remaining distance

         x₄ = 200 - x₃

         x₄ = 200 - 57.6

         x₄ = 142.4 m

the time to go through it is

         t₄ = x₄ / v₃

         t₄ = 142.4 / 24

         t₄ = 5.93 s

the total time for the horse is

         t_horse = t₃ + t₄

         t_horse = 4.8 + 5.93

         t_horse = 10.73 s

when we compare the times we see that the man arrives a little before the horse, the winner is the man


Related Questions

Why are some forces considered to be noncontact forces? A. Objects must be far apart in order to exert a force. B. Objects do not have to touch each other to experience a force. C. Objects push each other apart to increase the distance between them. D. Objects must be large in size in order to exert a force that is strong enough to notice. is it a,b,c or d?

Answers

Answer:

B. Objects do not have to touch each other to experience a force.

Explanation:

For example ..One of the noncontact forces is magnetic force whereby a magnetic object will be attracted to another magnetic object of oppsite charged particles, through waves called electromagnetic waves. On the other hand, the two magnetic objects of similar charged particles can repel through electromagnetic waves..

A boy who is riding his bicycle, moves with an initial velocity of 5 m/s. ten second later, he is moving at 15 m/s. what is his acceleration

Answers

Answer:

1 m/s²

Explanation:

From the question,

Using

a = (v-u)/t.................... Equation 1

Where a = accelartion of the bicycle, v = Final velocity, u = initial velocity, t = time.

Given: v = 15 m/s, u = 5 m/s, t = 10 s

Substitute these values into equation 1

a = (15-5)/10

a = 10/10

a = 1 m/s²

Hence the acceleration of the bicycle is 1 m/s²

PLEASE HELP! A 0.423 kg object carries a +11.5 uc
charge. It is 0.925 m from a -7.55 C
charge. What is the magnitude of the
object's acceleration?
(u stands for micro. Remember, magnitudes
are positive.)
[?] m/s2

Answers

Answer:

2.15 m/s²

Explanation:

We'll begin by calculating the force of attraction between two charges. This can be obtained as follow:

Charge of 1st object (q₁) = +11.5 μC = +11.5×10¯⁶ C

Charge of 2nd object (q₂) = –7.55 μC = –7.55×10¯⁶ C

Electrical constant (K) = 9×10⁹ Nm²/C²

Distance apart (r) = 0.925 m

Force (F) =?

F = Kq₁q₂ / r²

F = 9×10⁹ × 11.5×10¯⁶ × 7.55×10¯⁶/ 0.925²

F = 0.781425 / 0.855625

F = 0.91 N

Finally, we shall determine the acceleration of the object. This can be obtained as follow:

Mass of object (m) = 0.423 Kg

Force (F) = 0.91 N

Acceleration (a) =?

F = ma

0.91 = 0.423 × a

Divide both side by 0.423

a = 0.91 / 0.423

a = 2.15 m/s²

Thus, the magnitude of the object's acceleration is 2.15 m/s²

Answer:

2.15

Explanation:

Acellus

Which material transmits the most visible light?
A.Sunglass lens
B.Mirror
C.Clear glass
D.Black cloth

Answers

Answer:

c

Explanation:

Please please please please please please please please please please please please please please please please please please please

Answers

c i think & mark as brain list?

ممكن حل بسرعة
please help ​

Answers

Answer:

I could help but i dont speak or understand a word of Arabic im so sorry.

Explanation:

If force 1 has a magnitude of 5 N (forward) and force 2 has a magnitude of 30 N (forward), what is the net force acting on the object?

A.) 25 N forward
B.) 35 N forward
C.) 25 N backwards
D.) 35 N backwards

Answers

D I am pretty sure thanks

What moon phase would be at positions 1 and 5?
A. 1 full moon and 5 is new moon.
B. 1 is a lunar eclipse and 5 is a solar eclipse.
C.1 is a waxing gibbous and 5 is a waning crescent.
D.5 is a full moon and 1 is new moon.
Please help, This will affect my grade!​

Answers

Answer:

C.1 is a waxing gibbous and 5 is a waning crescent.

Many people who have contracted a disease called chicken pox were told by their doctors that they would never have this
disease again. Why?

Answers

Answer:

Once you've had chickenpox you can't again.

Explanation: the virus remains inactive in your nerve tissue. Although it's unlikely you will get chickenpox again, the virus may reactivate later in life and cause a related condition called shingles.

1. A +4 nC charge is placed at a distance r from another charge. If the charge experiences a force of 6000 N, what is the electric field intensity E ?

Answers

Answer:

1500 N/C

Explanation:

From the question,

Applying,

E =  F/q.................. Equation 1

Where E = Electric Field intensity, F = Force experienced by the charge, q = Charge

Given: F = 6000 N, q = +4nC

Substitute these value into equation 1

E = 600/4

E = 6000/4

E = 1500 N/C

Hence, the electric field intensity is 1500 N/C.

A longitudinal wave is a type of wave that transfers energy

Answers

Answer:

It transfers energy parallel to the direction of wave motion. A transverse wave..

Explanation:

Answer:

The answer is a Wave Motion

Explanation:

A longitudinal wave is a type of wave that transfers energy is called," Wave Motion".

Hope you have a great day :)

Please help the best answer get brainlist pretty easy questions

1 - List the type of fossil fuels we use in our daily lives.

2 - List the disadvantages of using fossil fuels

Answers

Answer:

1, Coal,oil,natural gas,petroleum ...etc

2, -they pollute the environment

-In case of irresponsible use ,they can be

dangerous

-it is more reliable an renewable

If spring has a spring constant of 500 N/m and is stretched .50 meters,how much energy is stored in the spring ((show work for full credit, show equation))

Answers

Answer:

The energy stored is: 62.5 Joules

Explanation:

Given

[tex]k = 500N/m[/tex] --- spring constant

[tex]x = 0.5m[/tex] --- stretch

Required

The amount of energy

This is calculated as:

[tex]U = \frac{1}{2} kx^2[/tex]

[tex]U = \frac{1}{2} * 500N/m * (0.5m)^2[/tex]

[tex]U = 250N/m * (0.5m)^2[/tex]

[tex]U = 62.5\ J[/tex]

What is the power of a refrigerator with voltage 110 V and
current 0.8 A?

Answers

Answer: 88

Explanation:

When electrons are moving it is called
A field
B electricity
C friction
D attraction

Answers

Im pretty sure it’s in a field

Why must the Moon travel more than a full orbit around the Earth for the full moon to be complete?

Answers

Answer:

The difference between the sidereal and synodic months occurs becuase as our moon moves around the earth, the earth also moves around our sun. Our moon must travel a little farther in its path to make up for the added distance and complete the phase cycle.

Explanation:

Hope this helps.

Help!!! If you cannot type in the box, dont answer.

Answers

I can

Exp: because I just can

Answer: lollllllllllllllllllllll

Explanation:

The only major country that does not use the metric system
A.
France
B.
United States
C.
Russia
D.
England

Answers

It’s for sure United States (B)

What are the purposes of these items aboard the Voyager probes? • Low-energy particle detector: • Magnetometer boom: • High-gain antenna: • Photopolarimeter: • Cosmic ray:

Answers

Explanation:

1. Low-energy particle detector: This particle detector measures the charged particles of the solar winds.

2. Magnetometer boom: This device measures magnetic fields produced by astronomical bodies.

3. High-gain antenna: A HGA has a narrow radio beam that is used to enhance the strength of signal. They simply amplify the weak signals.

4. Photopolarimeter: This is an instrument that is used to measure the strength and intensity and polarization of reflected light.

Answer:

what they said

Explanation:

What is the wavelength of a wave that is traveling at 343 m/s with a frequency of 1000 Hz

Answers

Answer:

[tex]343 \div 1000 = 0.343[/tex]

wavelength is equivalent to the velocity divided by the frequency

A lightbulb has 25 W stamped on it. What does this mean?

Answers

Answer:

A lightbulb has 25 W stamped on it. What does this mean?:

These labels mean that each lightbulb has Its respective power delivered to It when It Is connected to a constant

Explanation:

can someone help me please? thank you

Answers

....................

What are the formulas for Work, KE, GPE and Power?

Answers

Answer:

work=f×d

GPE =m×g×h

[tex]kinetic energy = \frac{1}{2} mv {}^{2} \\ power = \frac{w}{t} [/tex]

6. Sandy adds 3 sugar packets to her tea in order to make it sweeter. She stirs in the sugar and then takes a sip. She notices that not all the sugar was dissolved. What type of solution did she make?

A. Saturated B.Unsaturated C.Supersaturated D.Mildly saturated

Answers

Answer:

C.Supersaturated

Explanation:

There are three types of solution:

SATURATED SOLUTION:

It is the solution that contains maximum amount of solute dissolved in a solution in normal conditions.  

UNSATURATED SOLUTION:

It is the solution that contains less than the maximum amount of solute dissolved in a solution in normal conditions. It has space for more solute to be dissolved in it.

SUPERSATURATED SOLUTION:

It contains more than the maximum amount of solute dissolved in it. Such a solution has no capacity to dissolve any more solute under any conditions.

Since the sugar is no more dissolving in the tea and has settled down. Therefore, the solution is:

C.Supersaturated

A boy walks towards a stationary plane mirror at a speed of 12ms^1 what is the relative speed of approach of the boy and his image? (a)zero (b)1.2ms^-1 (c) 2.4ms^-1 (d)1.44ms^-1​

Answers

Answer:

a

Explanation:

mark me as brainlist ez

In the 1500's Galileo experimented and discovered many things. One of his famous experiments allowed him to discover that blank when you drop them.​

Answers

Answer:

In the 1500's Galileo experimented and discovered many things. One of his famous experiments allowed him to discover that all Objects fall  the same rate Bolo when you drop them.

Explanation:

for mo

the statement from which investigation is an example of repetition? *answer choices in picture*

Answers

The answer in for the picture is investigation 4

Answer:

vestigation 4

Explanation:

If all the forces acting on an object are balanced then the net force acting on it is zero. True or, false?

Answers

Answer:

true

Explanation:

if all forces are equal then there would be no stronger force to give any net force so it would be zero

What is the source of heat for convection currents in the mantle layer of earth

Answers

Answer:

Magma from the core

Explanation:

...?

magma your welcome:)

X-rays have so much energy they can go right through your ___ and ___.

Answers

Answer:

X-rays have so much energy they can go right through your muscles and fat.

Explanation:

There are actually more ways to fill in those two blanks... Different parts of the body absorb x-rays in varying degrees, but soft tissues (like skin, muscles, fat, and organs) allow most of the X-rays to pass through.

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