A top sprinter reached his maximum instantaneous velocity of 12.28 meters per second 7.17 seconds after leaving the blocks. Calculate his acceleration. All key steps must be shown.
I am very confused will you please help me!!
Answer:
Here we will assume two things.
His acceleration is constant until he reaches his maximum velocity and then he stops accelerating.
When he leaves the blocks, his velocity is "zero", meaning that the initial velocity is zero.
Then:
For the acceleration of the sprinter we will have a constant, A:
a(t) = A.
for the velocity we need to integrate over time, we will get
v(t) = A*t + v0
Where v0 is a constant of integration, and this is the initial velocity, as we already said, this will be zero, so the velocity equation is:
v(t) = A*t
We know that at t = 7.17 seconds, his velocity is 12.28m/s
then:
v(7.17s) = 12.28m/s = A*7.17s
12.28m/s/7.17s = 1.71 m/s^2 = A.
The acceleration is: 1.71 m/s^2 for 0 < t < 7.17s
0 m/s^2 for 7.17s < t.
This is because that was his maximum velocity, then after that time he can not accelerate more.
Joseph remembers reading that for a particular pressure, P1, there is a maximum height to which a fluid can rise. He reasons that in this case the pressure (P2) must drop to zero so that the water can no longer flow to increased heights. He decides to check if the simulation can be made to demonstrate such conditions. He decides to make A2 as small as possible in the simulation (2.2 cm2) so that he increases the speed of the fluid in tube 2 as high as is possible (he decides to do this after examining the continuity equation). He then calculates the height of the fluid under these conditions where the pressure would fall to zero so that the fluid could no longer be made to flow under the conditions set up in the simulation. He then runs the simulation under the largest Δy allowed to check his calculation. What does Joseph calculate for the maximum height?
Answer:
h = P₁ / 9800
Explanation:
This is a fluid mechanics problem, let's write the Bernoulli equation at two points, the subscript 1 for the lowest point and the subscript of 2 for the point with the highest height.
P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂
at the highest point P₂ = 0 and v₂ = 0,
P1 + ½ ρ v12 = ρ g (y₂ -y₁)
we use the continuity equation for the velocity at the lowest point
A₁ v₁ = A₂ v₂
Since the velocity at the highest point is zero, this implies from the equation that the velocity at the lowest point is also zero. In the no-flow condition
P₁ = ρ g (y₂ -y₁)
h = y₂-y₁
h = P₁ /ρ g
the density of water is ρ = 1000 kg / m³ and g = 9.8 m/s², we substitute
h = P₁ / 9800
Let's do a calculation, suppose that P₁ = 1 10⁵ Pa
h = 1 10⁵ / 9800
h = 10.2 m
the sputnik 1 satellite orbited earth (mass=5.98 x 10^24 kg) in a circle of radius 6.96 x 10^6 m. what was its orbital velocity?
Answer:
v = 4.79 10³ m / s
Explanation:
For this exercise we will use the universal law of gravitation and Newton's second law
F = G M m / r²
where G is the gravitational constant, m the mass of the satellite, M the mass of the Earth, r the distance from the center of the planet to the satellite
F = m a
since the satellite has a circular path, the acceleration is centripetal
a = v² / r
we substitute
G M m / r² = m v² / r
G M / r = v²
We calculate
v² = 6.67 10⁻¹¹ 5.98 10²⁴ / 6.96 10⁶
v = √ (22.94 10⁶)
v = 4.79 10³ m / s
Answer:
7570 m/s
Explanation:
take the square root of: 6.67E-11× 5.98E24/6.96E6
The slope on a velocity vs time graph is the _______ of the object.Required to answer. Single choice.
Answer:
the slope of the line on a velocity versus time graph is equal to the acceleration of the object ctto google
A student drops a 0.4kg ball from a height a of 49m above the ground. Neglect drag. Answer each of the following questions about the ball during the flight.
What is the magnitude of the net force on the ball?
What is the magnitude of the ball's acceleration?
How long does the ball take to hit the ground?
What is the ball's speed just before striking the ground?
• The only force acting on the ball, and thus the net force, is due to its own weight, with magnitude
w = m g = (0.4 kg) (9.8 m/s²) ≈ 3.9 N
pointing downward.
• The ball is in free fall, so its acceleration is g = 9.8 m/s² (also pointing downward).
• The ball is dropped from a height of 49 m, so its height y at time t is
y = 49 m - 1/2 g t ²
Set y = 0 and solve for t :
0 = 49 m - 1/2 g t ²
t ² = (98 m) / g
t = √((98 m) / g) = √(10) s ≈ 3.2 s
• The ball's velocity v at time t is
v = - g t
so that at the time found previously, the ball will have attained a velocity of
v = - g (3.2 s) ≈ -31 m/s
and thus a speed of about 31 m/s.
The compound cyanogen (CN)2 has covalent bonds shown in this diagram. Starting at left, an N connected by three lines, one above the other, to a C connected by one line to a C connected by three lines, one above the other, to an N. How many electrons are shared between one nitrogen atom and one carbon atom? two three six seven
Answer:
C For a 100% fact!!!! :)
Answer:
I did C on edge and got this correct sooo
Explanation:
According to peacemaking criminology, toward which option should a country redirect the money it currently spends on imprisoning criminals?
A.
nuclear technology
B.
stock market
C.
environmental campaigns
D.
private organizations
Answer:
Explanation:
It is C. Environmental campaigns
Answer: environmental campaigns
Explanation:
got it right on the test
The element selenium (Se) bonds with chlorine (Cl) to make the formula SeCl2 Chlorine is more electronegative than selenium. What is the name of this molecular compound?
Answer:
Selenium dichloride
Explanation:
Selenium (Se) and Chlorine (Cl) are both elements capable of combining together to form a compound with the chemical formula; SeCl2. Since the chlorine atom is more electronegative than selenium atom, the chlorine pulls more electrons towards itself to form an IONIC bond.
The SeCl2 compound formed is called Selenium dichloride as two atoms of Chlorine are needed to combine with one atom of Selenium to form the compound.
The name of the molecular compound is selenium dichloride (SeCl2).
• Due to sharing of electrons between selenium and chlorine, Selenium dichloride is considered as covalent compound.
• Both the elements are non-metals, and thus, would give rise to covalent bond.
• Selenium is the least electronegative element of the two, so it is written first.
• After that the more electronegative element is written, and then addition of suffix is done, that is, -ide.
• If atoms of an element is more than one, then prefixes are supplemented that is mono for 1 atom, di for two atoms, and tri for three atoms.
Thus, the name of the molecular compound is selenium dichloride.
To know more about:
https://brainly.com/question/13884130
Why are some of the rocks on the moon older than the oldest known rocks on Earth?
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A circuit consists of a wire, a lightbulb, a switch, and a battery. What would
happen if the switch were replaced with a section of wire?
O A. The voltage and resistance would both decrease.
OB. The voltage would decrease, and the resistance would increase.
O C. The voltage would increase, and the resistance would decrease.
O D. The voltage and resistance would be the same.
Answer:
d
Explanation:
Convert 15° C to fahrenheit and kelvin
Answer:
59 degrees fahrenheit and 288.15 kelvin
Explanation:
Answer:
59 oF and 288 K
Explanation:
oF= 15 x 1.8 + 32= 59
K= 15+273 = 288
What does properties mean
Answer:
a thing or things belonging to someone; possessions collectively.
Explanation:
Which characteristic does inertia describe
Answer:
Inertia is the resistance of any physical object to any change in its velocity. This includes changes to the object's speed, or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed, when no forces act upon them.
Explanation:
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Answer:- how difficult it is to change an object's motion
Explanation:
Hope I Helped No Need For Brainliest! :)
Momentum:
3
Mass A has a mass of 10 kg while mass B has a mass of 20
kg. Which of these must be true?
Answer:
D
Explanation:
F=ma
a=F/m
according to option D, F is constant
so acceleration is inversely proportional to mass and A has half the mass of B. Hence, acceleration of A will be twice of B if same force is applied.
A closely wound search coil has an area of 3.13 cm2, 135 turns, and a resistance of 61.1 Ω. It is connected to a charge-measuring instrument whose resistance is 44.4 Ω. When the coil is rotated quickly from a position parallel to a uniform magnetic field to one perpendicular to the field, the instrument indicates a charge of 3.44×10−5 C . What is the magnitude of the magnetic field?
Answer:
Explanation:
Let the magnitude of magnetic field be B .
flux passing through the coil's = area of coil x field x no of turns
Φ = 3.13 x 10⁻⁴ x B x 135 = 422.55 x 10⁻⁴ B .
emf induced = dΦ / dt , Φ is magnetic flux.
current i = dΦ /dt x 1/R
charge through the coil = ∫ i dt
= ∫ dΦ /dt x 1/R dt
= 1 / R ∫ dΦ
= Φ / R
Total resistance R = 61.1 + 44.4 = 105.5 ohm .
3.44 x 10⁻⁵ = 422.55 x 10⁻⁴ B / 105.5
B = 3.44 x 10⁻⁵ x 105.5 / 422.55 x 10⁻⁴
= .86 x 10⁻¹
= .086 T .
What type of objects exert gravitational pull? (5 points) Only living objects Only space objects All objects having mass All substances that are visible
Answer:
Every object in the universe that has mass exerts a gravitational pull, or force, on every other mass. The size of the pull depends on the masses of the objects. You exert a gravitational force on the people around you, but that force isn't very strong, since people aren't very massive.
Answer:
All objects having mass
Explanation:
What the other guy said
also I took the test!
The articles of confederation represented the Americans distrust of what form of government?
Answer: The Articles of Confederation were against having a strong central government.
Explanation:
look at photo please i really need help
Answer:
G. 10N left
Explanation:
Because more newtons are being pulled to the right and there is 10 more then the left side so the extra 10N are going to be pulled to the right
The charge of an atom is......?
A train is traveling north. it goes 200 km /hr for 2.5 hours how far did the train go.
Explanation:
The formula for finding distance is: speed × time
We must multiply:
200Km/h × 2.5 hours
This gives you 500 Km.
Remember: the formula to work out the distance - speed x time.
If the train speed is 200 km/h, it travels 200 km/h.
Now, we must multiply 200 by 2.5:
200 x 2.5 = 500
Our answer is 500 Kilometers.
Answer:
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Explanation:
You know where this comes from, right thoughtqueztionz?
PLEASE HELP ME!!!!!!!
Answer: Dependent: temperature
Independent: time
Units: degrees per minute
Explanation: The dependent variable is temperature because it relies on the time to change. Time is the independent variable because it can't be altered by the other variable. The units are basically the variables and how they change.
Which of the following best describes the type of bond formed when sodium reacts with chlorine?
Answer: ionic bond
Explanation: This type of chemical bond is called an ionic bond because the bond formed between two ions of opposite charge.
an object is dropped from a 145 m ledge. How fast it is moving just before it hits the ground
what's the difference mass and weight
Answer:
Mass doesn't change.
Weight is measured based on gravitational pull.
Explanation:
Supón que mañana por la mañana, cuando te despiertas y piensas en el día que tienes por delante, te preparas para ser tu mejor versión. ¿Qué harías o en qué pensarías a medida que te preparas para ese día?
Answer:
Si pienso en el día de mañana y cuando despierto pienso en el día que tengo por delante y preparo en mi mejor versión trataría de hacer las cosas que me gustan y dejar de lado las que me hacen mal y me estresan para poder disfrutar con total libertad.
Explanation:
Para poder ser la mejor versión de uno mismo una persona tiene que poder expresarse libremente, estar cómoda en el lugar que está para poder sentir y hacer lo que tiene ganas y lo que realmente le hace feliz.
Para algunos esa "mejor versión" puede tener que ver con exigencias físicas, como por ejemplo, entrenar para una carrera o prepararse para un evento deportivo. Para otras personas puede tener que ver con su potencial de estudio o académico por si tiene que rendir un examen, dar una exposición oral, una charla o una prueba laboral. Para otros puede tener que ver con perder miedos y soltar exigencias para poder ser libre de imposiciones externas.
Para que estas situaciones suceda la persona tiene que estar relajada, tranquila, en paz y pudiendo disfrutar en la mayor medida posible de todas sus cualidades y potencias.
1) Do liquids and gases also exert pressure?
Explanation:
Liquids also exert pressure in all directions on the walls of the container they are stored in. We see water coming out from leaking pipes and taps. ... Gases (Air) also exert pressure in all directions
A certain body is thrown at an angle of 30° to the horizontal with a speed of 20m/s. What is the time the body takes to reach the maximum height?
Answer: here is my answer
Explanation: Note also that the maximum height depends only on the vertical component of the initial velocity, so that any projectile with a 67.6 m/s initial vertical component of velocity will reach a maximum height of 233 m (neglecting air resistance)
Is it ok for some help pwease?
What is the area of calm winds near the equator called?
doldrums
polar easterlies
trade winds
horse latitudes
Answer:
doldrums
Explanation:
Just need to type something more to be able to post
Select the correct answer. The formula for calculating power is work divided by time (power = work ÷ time). What are two ways of stating the same relationship? work = power ÷ time work = power × time time = work ÷ power time = work × power power = work × time
Answer:
work = power × time
time = work ÷ power
Explanation:
Power is defined as the rate at which work is done.
It is mathematically expressed as;
Power = [tex]\frac{work}{time}[/tex]
From this expression, if we cross multiply, we get;
work = power x time
Also, if we divide both sides by power, we get;
time = work ÷ power
7. An airplane travels 4988.966 Km in 57 minutes. Calculate the average speed in
km/sec.
Answer:
wow easy
Explanation:
