Answer:
x = v₀ cos θ t , y = y₀ + v₀ sin θ t - ½ g t2
Explanation:
This is a projectile launch exercise, in this case we will write the equations for the x and y axes
Let's use trigonometry to find the components of the initial velocity
sin θ = [tex]v_{oy}[/tex] / v₀
cos θ = v₀ₓ / v₀
v_{y} = v_{oy} sin θ
v₀ₓ = vo cos θ
now let's write the equations of motion
X axis
x = v₀ₓ t
x = v₀ cos θ t
vₓ = v₀ cos θ
Y axis
y = y₀ + [tex]v_{oy}[/tex] t - ½ g t2
y = y₀ + v₀ sin θ t - ½ g t2
v_{y} = v₀ - g t
v_{y} = v₀ sin θ - gt
[tex]v_{y}^{2}[/tex] = v_{oy}^2 sin² θ - 2 g y
As we can see the fundamental change is that between the horizontal launch and the inclined launch, the velocity has components
A small piece of Styrofoam packing material is dropped from a height of 1.90 m above the ground. Until it reaches terminal speed, the magnitude of its acceleration is given by a = g − Bv. After falling 0.400 m, the Styrofoam effectively reaches terminal speed, and then takes 5.40 s more to reach the ground.(a) What is the value of the constant B?s-1(b) What is the acceleration at t = 0?m/s2 (down)(c) What is the acceleration when the speed is 0.150 m/s?m/s2 (down)
Answer:
Explanation:
If a small piece of Styrofoam packing material is dropped from a height of 1.90 m above the ground and reaches a terminal speed after falling 0.400m, the Change in distance will be 1.90m - 0.400 = 1.50m
If it takes 5.4secs fo r the Styrofoam to reach the ground, the terminal velocity will be expressed as;
Vt = change in distance/time
Vt = 1.5m/5.4s
Vt = 0.28m/s
Note that the Styrofoam reaches its final velocity when the acceleration is zero.
To get the constant value B from the equation a = g-Bv
a = 0m/s²
g = 9.81m/s²
v = 0.28m/s
Substituting the parameters into the formula.
0 = 9.81-0.28B
-9.81 = -0.28B
Divide both sides by -0.28
B = -9.81/-0.28
B = 35.04
b) at t = 0sec, the initial terminal velocity is also zero.
Substituting v = 0 into the equation to get the acceleration.
a = g-Bv
a = g-B(0)
a = g
Hence the acceleration at t =0s is equal to the acceleration due to gravity which is 9.81m/s²
c) Given speed v = 0.150m/s
g = 9.81m/s²
B = 35.04
Substituting the given data into the equation a = g-Bv
a = 9.81-35.04(0.15)
a = 9.81 - 5.26
a = 4.55m/s²
Answer:
a
[tex]v = 0.28 \ m/s [/tex]
b
[tex]a = 9.8 m/s^2[/tex]
c
[tex]a = 4.55 \ m/s^2[/tex]
Explanation:
From the question we are told that
The fall height is [tex]h = 1.90 \ m[/tex]
The magnitude of the acceleration is [tex]a = g -Bv[/tex]
The height at which terminal speed is attained is [tex]h_t = 0.400 \ m[/tex]
The time taken to reach the ground from the terminal velocity height is t = 5.40 s
Generally the height which object traveled with terminal velocity is
[tex]H = h- h_t[/tex]
=> [tex]H = 1.90 - 0.400[/tex]
=> [tex]H = 1.50 \ m [/tex]
Generally the terminal velocity is mathematically represented as
[tex]v = \frac{H}{t}[/tex]
=> [tex]v = \frac{1.50}{5.40}[/tex]
=> [tex]v = 0.28 \ m/s [/tex]
Generally at terminal velocity , acceleration is zero so
[tex] g -Bv = 0 [/tex]
substituting
[tex]9.8 \ m/s^2[/tex]
=> [tex] 9.8 -B (0.28) = 0 [/tex]
=> [tex] v = 35 \ m/s [/tex]
Generally at t = 0 s the velocity v = 0 (That no motion at time zero)
So from acceleration equation
[tex]a = 9.8 -35(0)[/tex]
=> [tex]a = 9.8 m/s^2[/tex]
Generally when the speed v = 0.150 m/s
The acceleration is
[tex]a = 9.8 -35(0.150)[/tex]
=> [tex]a = 4.55 \ m/s^2[/tex]
The use of seat belts in cars has significantly reduced the number of crash
fatalities. Which statement best explains how the market forces of supply
and demand guided the development of seat-belt technology?
Answer: consumers' desire for more comfortable seatbelts led engineers to improve seat belts.
Explanation:
What what is the direction of an object’s acceleration if it is being pulled upward by a rope at a constant speed?
Answer:
the direction is towards upward.i think.
cise 5:
Yvette hangs a 24-N bird feeder in the middle of a rope tied between two
trees. The feeder creates a tension of 480 N in each side of the the rope.
a) If the two trees are 4.0 m apart, how much will the rope sag in the center?
b) If a bird lands on the feeder, will this have any effect on the tension in the
rope? Explain.
Answer:
The answer is below
Explanation:
a) Since the 24 N weight feeder creates a tension of 480 N on either side of the rope. Taking into consideration of one side of the rope, this means that 24/2 = 12 N creates a tension of 480 N for a length of 2 m (4/2).
Therefore, Fg = 12 N, F = 480 N
sin θ = Fg/F
sin θ = 12 / 480
sin θ = 0.025
θ = sin⁻¹ (0.025)
θ = 1.43⁰
Let the rope sag be h, hence:
tanθ = h/2 m
h = 2 m * tan (1.43)
h = 0.05 m
b) If the bird lands on the feeder, because of the birds weight, the tension on each side of the road would increase.
What role does the entrepreneur play in the market economy
Answer:
entrepreneur:
noun
a person who organizes and operates a business or businesses, taking on greater than normal financial risks in order to do so.
hope this helps :)
An object is sliding to the right along a straight line on a horizontal surface. The graph shows the object's velocity as a function of time. What is the object's displacement during the
time depicted in the graph?
Answer:
0mExplanation:
Velocity is the change of displacement of a body with respect to time.
Velocity = Displacement/Time
Displacement = Δv * Δt
From the graph, it can be seen that the object sliding along the horizontal has a velocity of 0m/s since it starts travelling when v = 0m/s
For the time;
Δt =t2-t1
Δt = 8-0
Δt = 8s
object's displacement = 0 * 8
Hence the object displacement is 0m
anyways chile , what y’all doing virtual or school ?
What contributes to the better resolution of the Hubble telescope.
Answer:
Because it is above the Earth's atmosphere. The atmosphere disturbs the starlight (a bit like looking through water) and blurs the images. So Hubble's images are much sharper than those from other telescopes.
Explanation:
Answer:
Hubble's orbit outside the distortion of Earth's atmosphere allows it to capture extremely high-resolution images with substantially lower background light than ground-based telescopes. It has recorded some of the most detailed visible light images, allowing a deep view into space.
Analyzing a blood sample usually involves which type of separation method?
Answer:(D.)
Explanation:
is a person believes that dreams have hidden meaning how or she would agree with Freud's ideas about _ content?
A. manifest
B. latent
C. hidden
D. lucid
Answer:B ez
Explanation:
Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image.
ITEM BANK: Move to Bottom
BoilingGas/VaporLiquidMeltingSolidTemperatureTime
0
Answer:reactant,active site,enzyme below,substrate,products
Explanation:
applied to it
The acceleration of an object is always in the direction of the
OA) net force
OB) thermal energy
O C) frictional force
How are mass and weight different?
(A) Weight is the amount of matter and mass is the effect of gravity on weight.
(B) Weight is the space an object takes up and mass is the effect of gravity on mass.
(C) Mass is the space an object takes up and weight is the effect of gravity on mass.
(D) Mass is the amount of matter and weight is the effect of gravity on mass.
Answer:
D
Explanation:
D, Mass is the amount of matter in an object, it is measured in kg and does not change with gravity. Weight is the effect of gravity on mass, it is measured in Newtons (as it is a force) and changes with gravity. E.g. If you went to the moon your weight would change due to the change in gravity but your mass would stay the same.
Hope this helped!
What is the direction of a vector with an x component of -12 m and a y component of 21 m?
Answer:
[tex]Direction= 119.74^\circ[/tex]
Explanation:
Displacement Vector
The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.
If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]\displaystyle \tan\theta=\frac{y}{x}[/tex]
The coordinates of the given vector are x=-12 m, y=21 m, thus:
[tex]\displaystyle \tan\theta=\frac{21}{-12}=-1.75[/tex]
[tex]\theta=tan^{-1}(-1.75)=-60.26^\circ[/tex]
Since the vector lies in the second quadrant, we add 180° to find the correct direction:
[tex]\boxed{Direction=-60.26^\circ+180^\circ= 119.74^\circ}[/tex]
What is another name for non-traditional sports?
A. Random
B. Foreign
C. Alternative
Ο Ο
D. Team
SUBMIT
Answer: C Alternative
Explanation:
Hope this helps
Another name for non-traditional sports is Alternative. Alternative sports often involve unconventional or niche activities that may appeal to specific groups or subcultures. The correct option is option (c).
Another name for non-traditional sports is "alternative sports." These are sports or physical activities that may not be as mainstream or commonly recognized as traditional sports like football, basketball, or tennis.
Alternative sports often involve unconventional or niche activities that may appeal to specific groups or subcultures.
They provide alternatives to more traditional sports and can include activities like parkour, skateboarding, rock climbing, ultimate frisbee, and many others. Therefore, The correct option is option (c).
To know more about traditional sports:
https://brainly.com/question/30096950
#SPJ6
Use your understanding of d-t graphs to describe what is happening in the graph.
A chemist is likely to do which of the following
Answer:
I need to see the answer choices firsts silly
Explanation:
I need to see the answer choice firsts in order to answer because it can be many different answers
a person suffering from major depression
A. Has frequent flashbacks
B. Feel discouraged about life and often has little energy
C. Has sudden attacks of anxiety
D. Feels anxious all of the time
Answer B
Explanation:
You are depressed if you are discouraged by life
Answer:
I*B. Feel discouraged about life and often has little energy* ( most likely answer)
*or C. Has sudden attacks of anxiety*
Explanation:
In my opinion I think the answer is *B. Feel discouraged about life and often has little energy* because I have experienced some depression in my life and I also know some people who have major depression and this is what its like ( the answer could also be c)
List Three units commonly used to measure volume
Answer:
Three common units of volume are:
cubic centimeters.
liters.
gallons.
Explanation:
1. Applied research observational evidence 2. Basic research the experimental factor that changes in response to a change in the independent variable 3. Control research that results in a product that can be sold for profit 4. Dependent variable a proposed explanation for a scientific problem that itself can be tested by experimentation 5. Empirical evidence a quantity in an experiment that remains unchanged or constant 6. Hypothesis research that expands knowledge in a particular area 7. Independent variable the experimental factor that is changed by the scientist
Answer:
This question is about matching each definition with its correct term. Please find the term matched with their appropriate definition below.
Explanation:
1. Empirical evidence: An empirical evidence is an observational evidence i.e an evidence gathered by observation or use of senses.
2. Dependent variable: Dependent variable is an experimental factor that changes in response to a change in the independent variable. In other words, it is dependent on the independent variable.
3. Applied research: Applied research is a type of research oriented at solving a present problem or need. It encompasses the production of products that can be sold for profit.
4. Hypothesis: A hypothesis in an experiment is a proposed explanation for a scientific problem that itself can be tested by experimentation. A hypothesis aims at providing a testable explanation to an observed problem.
5. Control: A control is a quantity in an experiment that remains unchanged or constant. It is kept the same by the experimenter for all groups in the experiment in order not to influence the outcome.
6. Basic research: Basic research is the research that expands knowledge in a particular area. It is the kind of research that aims at filling a knowledge void or satiating curiosity.
7. Independent variable: The independent variable is the experimental factor that is changed or manipulated deliberately by the scientist.
A track athlete does two and a half laps from the starting line on a track of normal shape and size. The best way to describe the difference between the athlete's distance versus displacement is
Answer:
The displacement and the distance were equal early in the run, however due to the shape of the track the distance is greater than the displacement.
How are stars formed and classified?
Which of the following is responsible for regulating noise pollution?
A.
state and local authorities
B.
Environmental Protection Agency
C.
US Congress
D.
US Department of the Interior
Please select the best answer from the choices provided.
us Congress it could have
Answer:
Its A
Explanation:
How many centimeters are there in 2.35m?
Answer:
there are 235cm in 2.35m
How is retrograde motion different from normal diurnal motion
Answer:
Diurnal motion, apparent daily motion of the heavens from east to west in which celestial objects seem to rise and set, a phenomenon that results from the Earth's rotation from west to east. The axis of this apparent motion coincides with the Earth's axis of rotation. Retrograde motion is an APPARENT change in the movement of the planet through the sky. It is not REAL in that the planet does not physically start moving backwards in its orbit. It just appears to do so because of the relative positions of the planet and Earth and how they are moving around the Sun.
prove that:v²= u² + 2as
What is the formula to calculate distance moved.
If the velocity of a bicycle is 15m/s,how long will it take to cover a distance of 18 kilometres.
To prove:
v^2 =u^2 + 2as
we have,
a = v-u/t
or, t= v- u/a......(i)
Again,
s = u + v /2*t...........( ii )
Substitutung the value of 't' from equation (i) in equation ( ii ) , we have,
s= (u+v/2) * ( v- u/a)
or, s=(v^2 - u^2) /2a
or, 2as = v^2 - u^2
therefore,
v^2= u^2 + 2as
proved...
hope this helps!!!!how far will a car travel it is traveling at 60 mph for 2 hours
Answer: 1440
Explanation: 2 hours is equal to 24 hours times 60 gets you your answer.
Equation: 24×60=?
During which process do particles of matter release energy?
freezing
During freezing, the temperature of a substance remains constant while the particles in the liquid form a crystalline solid. Because particles in a liquid have more energy than particles in a solid, energy is released during freezing. This energy is released into the surroundings.
a driver brings a car to a full stop in 2.0 s. if the car was initially traveling at 22 m/s, what is the acceleration
Answer: -11 m/s^2
Explanation: 22/2, it went to a full stop so it’s negative
The acceleration will be "-11 m/s²".
According to the question,
Time,
t = 2 sInitially traveling,
[tex]V_0[/tex] = 22 m/sFull stop means,
V = 0As we know, the formula:
→ [tex]V = at +V_0[/tex]
By substituting the values, we get
→ [tex]0 = a\times t+V_0[/tex]
→ [tex]0 = a\times 2+22[/tex]
→ [tex]2a = -22[/tex]
→ [tex]a = -\frac{22}{2}[/tex]
→ [tex]= -11 \ m/s^2[/tex]
Thus the solution above is appropriate one.
Learn more about acceleration here:
https://brainly.com/question/18986198
Why are understandings of patterns so important to human development?
Answer:
Understanding patterns is important for human development because it allows us humans to make more Educated guesses in life. It allows the human brain to strengthen its logical thinking.
Explanation:
For example: A baby will occasionally learn to roll over or crawl through time. The pattern of doing such things allows the baby to learn more from its actions to make new ones.
I hope this helped im new but want to help :)
