The velocity of the particle when t = 0.5 s is -5.196 m/s.
What is a parabolic path?The equation r=6t(1-4t^2)^0.5 defines the motion of a particle on a parabolic path, where r is the distance of the particle from its initial position, and t is the time elapsed since the particle started its motion.
To determine the velocity of the particle when t = 0 and t = 0.5 s, we need to differentiate the equation of motion with respect to time t to obtain the expression for the particle's velocity as a function of time.
The derivative of r with respect to t can be found using the chain rule and the power rule of differentiation as follows:
dr/dt = 6 [(1-4t^2)^0.5 + t (-0.5)(1-4t^2)^(-0.5)(-8t)]
Simplifying this expression, we get:
dr/dt = 6 [(1-4t^2)^0.5 - 4t^2(1-4t^2)^(-0.5)]
This is the expression for the particle's velocity as a function of time. To find the velocity when t = 0, we substitute t = 0 into the expression and get:
dr/dt = 6 [(1-4(0)^2)^0.5 - 4(0)^2(1-4(0)^2)^(-0.5)]
= 6 (1-0) = 6 m/s
Therefore, the velocity of the particle when t = 0 is 6 m/s.
To find the velocity when t = 0.5 s, we substitute t = 0.5 into the expression and get:
dr/dt = 6 [(1-4(0.5)^2)^0.5 - 4(0.5)^2(1-4(0.5)^2)^(-0.5)]
= 6 [(1-0.5^2)^0.5 - 4(0.5)^2(1-0.5^2)^(-0.5)]
= 6 [(1-0.25)^0.5 - 4(0.25)(0.75)^(-0.5)]
= 6 (0.866 - 1.732) = -5.196 m/s
Therefore, the velocity of the particle when t = 0.5 s is -5.196 m/s. Note that the negative sign indicates that the particle is moving downwards at this time.
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A female skater with mass 45 kg and velocity 7 m/s leaps into her partner's arms. If her partner is has a mass of 60 kg and a forward velocity of 1.5 m/s, how fast are the two of them going after he catches her?
Please provide an explanation, random answers will be reported thank you.
Explanation:
this is the answer for your question further if you have any doubts
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Why can videos be streamed from one computer to another with excellent quality?
Answer:
(d) they are transmitted using digital signals
Explanation:
i just did the quiz an got it right
Answer:they are transmitted using digital signals
Explanation:
in root pass welding, that electrode we are going to use?
Answer:
The root pass is made with a 5/32” (4.0mm) diameter electrode. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.
Explanation:
In root pass welding, that electrode we are going to use cellulosic electrode (E-XX10).
What is root pass welding?Short arc welding is commonly used for root pass welding to prevent blow through and overheating at the weld joint. Because there is less drooping and suck back, short arc welding is also commonly used on root pass joints.
The first pass in any welding process that combines two pieces or members into one structure is referred to as the root pass.
Subsequent passes raise the weld depth to the desired thickness, resulting in the required strength. The first pass usually serves as the foundation for subsequent filler passes.
A 5/32" (4.0mm) diameter electrode is used for the root pass. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.
Thus, cellulosic electrode (E-XX10) for this.
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Identifying Applications of Electromagnetic Waves
Quick
Check
Match the electromagnetic wave with its application.
ultraviolet waves
disruption of DNA production in bacteria
and viruses
gamma rays
destruction of cancer cells
X-rays
diagnosis of illnesses through medical
imaging
Answer:
gamma ray-destruction of cancer cells
Ultraviolet wave-disruption of DNA
X-ray-diagnosis of illnesses through medical
Explanation: on edg
Answer:
Here
Explanation:
if the 50 kg object slows down to a velocity of 1 m/s how much kinetic energy does it have 100j 50j 25j or none
[tex]ek = \frac{1}{2}m {v}^{2} [/tex]
[tex]ek = \frac{1}{2}(50) {(1)}^{2} [/tex]
[tex]ek = \frac{1}{2}(50)[/tex]
[tex]ek = 25j[/tex]
//
I'm not really sure but I do know that it's not 0 because the object is still moving, even if it's only moving at 1 m/s.
friction is a:
A.balance force
B.unbalance force
C.type of motion
D.type of direction
Answer:
c
Explanation:
becaz its motion and without motion u cant get friction
Answer:
A
Explanation:
hope this helps
mark me brainlistPick all the right ones !!
a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration
Answer:
The magnitude of the acceleration is 1.6 m/s².
Explanation:
We can find the magnitude of the acceleration by using the following equation:
[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f}[/tex]: is the final position = 80 m
[tex] x_{0[/tex]: is the initial position = 0
[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)
a: is the acceleration =?
t: is the time = 10 s
Hence, the acceleration is:
[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]
Therefore, the magnitude of the acceleration is 1.6 m/s².
I hope it helps you!
Is there a difference in how a black shirt or a white shirt affects our exposure to us radiation?
What is the volume of the water in the graduated cylinder gizmo Student Volume Lab Sheet (cm3 and mL)
Answer:
The volume of water in the graduated cylinder will be equal to the calculated volume of the sphere.
Explanation:
The volume of solid objects can be measured by completely immersing these solids in an overflow faucet filled to brim with a liquid in which the solid does not dissolve. This is known as the displacement method. When water is used, it is known as water displacement method.
In the Volume Lab Sheet, a sphere whose volume has been pre-calculated is immersed in the overflow faucet containing water. The displaced water is collected in a beaker and the volume is obtained using a 50 mL measuring cylinder.
The volume of a sphere is calculated using the following formula:
Vsphere = 4πr³/ 3
The symbol π represents the number pi, which is about 3.14. The letter r stands for the radius of the sphere, which is the distance from the center of a sphere to its surface. The radius is exactly half of the diameter, which is the distance across the sphere through its center.
The volume of the water in the measuring cylinder is found to be equal to the calculated volume of the sphere. This is because an object immersed completely in a liquid displaces a volume of liquid equal to its own volume.
Usain Bolt runs at 200 meters in 20.0 seconds. How fast does he run? speed = distance / time
Answer:
22.369363 mi/h
Explanation:
Average Speed Calculation - suppose we want to calculate Usain Bolt's average speed during his world record winning 100 m sprint race in Berlin on August 16, 2009. What do we know?
We want to calculate Bolt's average speed
The distance was, of course, 100 meters
Bolt ran the distance in 9.58 seconds.
Bolt ran 11.42 yards per second during the race. Setting meters per second, you get 10.44 mp/s; miles per hour - 23.35 mph; kilometers per hour - 37.58 km/h; etc.
Travel Time Calculation - Suppose, you drove 21 miles with an average speed of 45 miles per hour. How long did you drive?
You traveled 28 minutes.
Distance Calculation - Let's calculate, how many miles you can travel, driving 2 hours and 30 minutes with an average speed of 55 miles per hour?
As you can see, the answer is 137.5 miles or 221.28 kilometers or 119.48 nautical miles, etc.
Assume, V - stands for average speed (velocity), T - stands for traveling time, and D - stands for traveled distance.
Average speed can be calculated by using the formula: V = D/T
The traveled distance can be calculated as D = V*T
Traveling time can be calculated using: T = D/V
Using the formulas remember about the units. For example, if the distance is given in meters and the time is given in seconds, the calculated average speed is given in meters per second. To convert it to other units of measurement, you can use our speed converter. If the distance is given in yards and speed is given in miles per hour, to get time in hours, you HAVE TO convert yards to miles or miles per hour to yards per hour first.
20 POINTS! PLZ HELP ME. :-)
Answer:
A
Explanation:
Because both the elements are non-metals
How does an atom change if all of its electrons are removed?
Answer: If all the electrons of an atom are removed, it will change to become a positively charged ion called a cation.
Explanation:
Answer:
The atom becomes positively charged.
Explanation:
Where did Ford first see parts made from vanadium steel? What properties of this steel impressed Ford? Did Ford need to overcome any problems before going ahead with his plan?
Explanation:
Historical sources believe that Henry Ford first saw parts made from vanadium steel in Europe which were been used on racing cars and luxurious vehicles.
Ford was impressed due to the fact that Vanadium steel unlike normal steel was cheaper and at the same time stronger and lighter if it was used on automobiles.
What is another term that refers to foodborne illness?
If Steve races on the highway going south for 2430 meters in 40 seconds what is his velocity?
Answer: 60.75 m/s
Explanation:
2430 m / 40s = 60.75 m/s
is the number of paper clips in step 2 the same as the number of paper clips in step 3? why do/don't you think so?
The number of paper clips in step 2 is the same as the number of paper clips in step 3 is a true statement, as the mass is the same for both.
What is mass?It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram. While mass is typically thought of as an immutable feature of an item, relativistic mass must be taken into account when traveling at speeds close to the speed of light.
Given:
The mas of the paper clips are the same,
Assume the number of clips in step two is x and the mass is m, the mass in the third step is the same as in step 2,
Thus, the number of clips = Total mass of paper clip / mass of one clip,
The number of clips = m / x
As we can see, if the mass is equal, then the number of clips will also be equal.
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An orbiting satellite experiences no force due to the Earth's
gravity.
Answer:
false
Explanation:
The statement "An orbiting satellite experiences no force due to the Earth's gravity." is a False statement. This is further explained below.
What is Gravity?Generally, Gravity is simply defined as the force that pulls items toward the center of a planet or other entity.
In conclusion, an orbiting satellite experiences force due to the Earth's gravity.
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2
Type the correct answer in the box
A car has a mass of 1,000 kilograms. The weight of the car is
nenors. Use g*98 Nike for granty
Reset
Ben
Answer:
Weight = 9800Newton
Explanation:
Given the following data;
Mass of car = 1000kg
Acceleration due to gravity = 9.8m/s²
To find the weight of the car;
Weight is given by the formula;
Weight = mass * acceleration due to gravity
Substituting into the equation, we have;
Weight = 1000*9.8
Weight = 9800Newton
What is one enThe law of conservation of energy states that energy can neither be created nor destroyed. What does “conservation” mean in this law?ergy transformation that is taking place in the photo?
Answer:
The preservation of a physical quantity during transformations or reactions.
Explanation:
A 5000ton frieight is moving at a speed of 10mph, next to it a 3250lb Ferrari at a speed of 250mph. Both hit the break, but who stops first?
Answer:
Ferrari would stop first.
Explanation:
The momentum of a moving body is given as:
momentum, P = mass of the body x its velocity
i. For the Freight,
mass = 5000 tons = 4535924 kg
speed = 10 mph = 4.4704 m/s
P = mv
= 4535924 x 4.4704
= 20.28 x [tex]10^{6}[/tex]
P = 20.28 x [tex]10^{6}[/tex] kgm/s
ii. For the Ferrari,
mass = 3250 lb = 1474.175 kg
speed = 250 mph = 111.76 m/s
P = mv
= 1474.175 x 111.76
= 16.48 x [tex]10^{4}[/tex]
P = 16.48 x [tex]10^{4}[/tex] kgm/s
Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.
what is the wavelength of these waves???
Answer:
The wavelength is 6 meters.
Explanation:
Which of the following would decrease the overall force felt between two charges the most?
Question 9 options:
A. Doubling the charge on the first object
B. Doubling the charge on the second object
C. Doubling the distance between the charges
If one charge is tripled and the other is cut in half, what happens to electric force?
Question 10 options:
A. It is decreased by 10 times the original force
B. It is increased by 1.5 times the original force
C. It is increased by 10 times the original force
D. It is decreased by 1.5 times the original force
Doubling the distance between the charges would decrease the overall force felt between two charges the most. The force felt between two charges is inversely proportional to the square of the distance.
What is Columb's law?
The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
[tex]\rm F= \frac{Kq_1q_2}{r^2}[/tex]
The force felt between two charges is inversely proportional to the square of the distance.
Doubling the distance between the charges. The force felt between two charges is decreased 4 times the previous force.
Doubling the distance between the charges would decrease the overall force felt between two charges, the most.
Hence, option C is correct.
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An element carries a_____charge
Answer:
The charge of an element is equal to the number of protons minus the number of electrons. The number of protons is equal to the atomic number of the element given in the periodic table. The number of electrons is equal to the atomic number minus the charge of the atom.
Explanation:
Answer:
hydrogen sometimes has a charge of zero or (less commonly) -1. Although noble gas atoms almost always carry a charge of zero, these elements do form compounds, which means they can gain or lose electrons and carry a charge.
Explanation:
File Is Attached To The Question
An object can have forces acting upon it, but might not accelerate
True
or
False?
Answer:
true
Explanation:
if you apply force to the top of a square it will not move
pls help i’ll give brainliest if you give a correct answer!!
Answer:
South ....................
Answer:
South ;)
Explanation:
I just did it .
One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.
Answer:
B.
I think.
Explanation:
Mars doesn't have that much of an atmosphere!
Have a great day!
4. A group of students made a rocket and launched it vertically upwards with velocity
of 27ms^-1. What is the total distance travelled by the
rocket?
[Assume g=10ms^2]
Answer:
Approximately [tex]72.9\; \rm m[/tex], assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.
Explanation:
Initial velocity of this rocket: [tex]u = 27\; \rm m\cdot s^{-1}[/tex].
When the rocket is at its maximum height, the velocity of the rocket would be equal to [tex]0[/tex]. That is: [tex]v = 0\; \rm m \cdot s^{-1}[/tex].
The acceleration of the rocket (because of gravity) is constantly downwards, with a value of [tex]a = -g = -10\; \rm m \cdot s^{-2}[/tex].
Let [tex]x[/tex] denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate [tex]x \![/tex] to [tex]u[/tex], [tex]v[/tex], and [tex]a[/tex]:
[tex]\displaystyle x = \frac{v^2 - u^2}{2\, a}[/tex].
Apply this equation to find the value of [tex]x[/tex]:
[tex]\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{\left(0\; \rm m\cdot s^{-1}\right)^{2} - \left(27\; \rm m \cdot s^{-1}\right)^{2}}{2 \times 10\; \rm m \cdot s^{-2}} = 36.45\; \rm m\end{aligned}[/tex].
In other words, the maximum height that this rocket attained would be [tex]36.45\; \rm m[/tex].
Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of [tex]2\times 36.45\; \rm m = 72.9\; \rm m[/tex].
Which of the scientist responsible for cell theory would be the most likely to write a book titled Cells Come from Cells
Answer:
Rudolf Virchow
Explanation:
popularized the cell theory in an 1855 essay entitled “Cellular Pathology.” (b) The idea that all cells originate from other cells was first published in 1852 by his contemporary and former colleague Robert Remak (1815–1865).
Explanation:
Rudolf Virchow
-Rudolf Virchow would be the most likely to write a book titled 'Cells Come From Cells' because in cell theory he added a point that 'All cells arises from pre-existing cells. ' which means that all cells come from another cells which is as similar as the title of the book