Consider two identical baseballs which start at the same location; their terminal speed at this location is 32 m/s. At t = 0s, Ball A is thrown straight up at m/s; Ball B is thrown at 16m/s 30.0° below the horizontal at 32 m/s. How do the magnitudes of the baseballs' accelerations32 2at t = 0s compare (do not neglect air resistance)?
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is B
Explanation:
From the question we are told that
The terminal velocity of both balls is [tex]v_t = 32 \ m/s[/tex]
The speed with which ball A is thrown up at t =0 s is [tex]v__A}} = 16\sqrt{2}[/tex]
The speed with which ball B is thrown 30° below the horizontal at t =0 s is
[tex]v__{B}} = 32\sqrt{2}[/tex]
Generally the acceleration of ball A is (g i.e acceleration due gravity)given that it is thrown straight up
Generally the vertical acceleration of ball B is mathematically represented as
[tex]a = gcos (90 - 30)[/tex]
[tex]a = gcos (60)[/tex]
Generally the ratio of both acceleration is
[tex]\frac{a__{{A}}}{a__{{B}}}} =\frac{g}{gsin(60)}[/tex]
=> [tex]\frac{a__{{A}}}{a__{{B}}}} = \frac{1}{sin (60)}[/tex]
=> [tex]\frac{a__{{A}}}{a__{{B}}}} = \frac{1}{\frac{\sqrt{3} }{2} }[/tex]
=>[tex]\frac{a__{{A}}}{a__{{B}}}} = \frac{2}{\sqrt{3} }[/tex]
Rationalizing
=> [tex]\frac{a__{{A}}}{a__{{B}}}} = \frac{2}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]
=> [tex]\frac{a__{{A}}}{a__{{B}}}} = \frac{2 \sqrt{3} }{3}[/tex]
=>[tex]a__{B}} = \frac{2\sqrt{3} }{3} * a__{A}}[/tex]
Related Questions
It’s really easy so plz help
Answers
Answer:false
Explanation:
what is the speed of a cheetah that travels 112.0 m in 4.0 s?
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Answer:
I don't understand
lists the 4 states of matter from most amount of thermal energy to least amount of thermal energy?
Answers
Answer:
Explanation:
plasma, gas, liquid, solid
A skydiver jumps from an airplane traveling 120. km/hr at a height of 1000. m. If his parachute must open 500. m above the ground, how long does he have for the chute to open?
Answers
Answer:
The parachute to open in 15 sec.
Explanation:
Given that,
Velocity = 120 km/hr
Height = 1000 m
If his parachute must open 500. m above the ground.
We need to calculate the time for parachute to open
Using formula of time
[tex]v=\dfrac{d}{t}[/tex]
[tex]t=\dfrac{d}{v}[/tex]
Where, d = distance
t = time
v = velocity
Put the value into the formula
[tex]t=\dfrac{500}{120\times\dfrac{5}{18}}[/tex]
[tex]t=15\ sec[/tex]
Hence, The parachute will be open in 15 sec.
Moral Dilemma A man is sitting at home worrying about the fact that his daughter needs a major surgery in order to continue living, but he does not have the money to pay for it. He has asked family and friends to help with the cost of the surgery, but he was only able to raise about a quarter of what the surgery costs. He then remembers that he has power of attorney (i.E., control over someone else's finances/legal issues) for his out-of-touch-with-reality, but healthy, 85-year-old father. The man could, without anyone knowing, use his father's money to pay for the surgery. However, this would leave his father with only one year of living expenses. The man decides to take his father's money for his daughter's surgery. Should the man have done that? Why?
Answers
Answer:
Mostly with aid of Kohlberg 's moral growth theory, I clarify this answer, which would also be separated into three stages under which this particular problem is illustrated below.
Explanation:
Pre conventional Stage:The daughter's father would think about either the penalty during that point if he commits any wrongdoing or breaches laws to save her daughter. But another way to make that happen for surgery is that a person cares about either the legislation and rules as well as the significance of respecting them throughout the pre-conventional process. He will also attempt to establish its insight into solving these problems.
Conventional Stage:As per the traditional process of the spiritual psychosocial development of Kohlberg, her father would think of civilization because there are conventions that unless he borrows money of his dad again for the procedure of their daughter, culture would label him greedy or prejudice against him to pay the profits of his father despite his consideration.
Post conventional Stage:As per this argument, he might determine for her child as well as father in his philosophy including perspectives, which means that his father is not in the situation of requesting credit, but because he's in a position to give a recommendation, therefore he certainly gives authorization rescue her grandchildren even though she is small and has several activities to do in hers life. And subsequently, with emerging profits, he will take care of his father as well as daughter, and nowadays focus says their daughter wants treatment to recover.
how big can a whale get
Answers
Answer:
Whale is the largest mammal in the world
Explanation:
you you know that the DNA of parent depend upon her babies.
so due to the DNA characteristics will get big one to another
Answer:
For example, in the North Atlantic and North Pacific, blue whales can grow up to about 90 feet, but in the Antarctic, they can reach up to about 110 feet and weigh more than 330,000 pounds. Like other baleen whales, female blue whales are generally larger than male Blue whales are the largest animals ever known to have lived on Earth. These magnificent marine mammals rule the oceans at up to 100 feet long and upwards of 200 tons.
Explanation:
Multidimensional development means that:
A. development is static.
B. development occurs in a positive flow.
C. development sometimes goes in only one direction.
D. development occurs in many different areas at the same time.
Answers
Answer:
option D
Explanation:
this is because it occurs in many different dimensions, including biological, cognitive and socioemotional. this is also the answer on apex.
Answer D would be correct for a p e x
ok i bet none of you guys/girls can get this right there's three states of matter solid
liquid solid gas but what is the fourth one? 42 points!
Answers
Answer:
plasma is the 4th state
Answer:
plasma in the 4th state
Explanation:
why is a 5 rupees coin attracted by a magnet? name the metal present in the coin
Answers
Hey Mate
See a coin is attracted bcoz he it has a metal names iron Which is easily attracted by the magnets
Hope, you fell my answer Helpful ( ◜‿◝ )♡
The (old) metal in the coin is Cupro-Nickel
The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] force is needed to complete the work. The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] the mechanical advantage, making the work easier.
Answers
Answer:
Answer in explanation
Explanation:
What we want to do here is to basically put in words in the select pane that could actually beat complete the question.
The higher the distance between the effort and the function of a lever, the higher the force needed to complete the work.
The smaller the distance between the effort force and the fulcrum of a lever, the smaller the mechanical advantage , making the work easier
find fk and f in the picture shown
Answers
A car accelerates from 1.5 to 18 m/sec in 9.6 seconds. Calculate its acceleration. and the other one is During a race, you speed up from 2.2 m/sec to 4 m/sec in 3.2 seconds. (a) What is your change in speed? ____ m/sec (b) What is your acceleration? ___ m/sec2
Answers
Answer:
(1) The acceleration is 1.72 m/s²
(2) (a) The change in speed is 1.8 m/s
(2) (b) The acceleration is 0.563 m/s²
Explanation:
(1)
Given;
initial velocity, u = 1.5 m/s
final velocity, v = 18 m/s
time of motion, t = 9.6 s
The acceleration is given by;
a = (v - u) / t
a = (18 - 1.5) / 9.6
a = 1.72 m/s²
(2)
Given;
initial speed, u = 2.2 m/s
final speed, v = 4 m/s
time of motion, t = 3.2 s
(a) The change in speed is given by;
Δv = v - u
Δv = 4 m/s - 2.2 m/s
Δv = 1.8 m/s
(b) the acceleration is given by;
a = Δv / t
a = 1.8 / 3.2
a = 0.563 m/s²
A skier (down a straight course) is able to enter the starting gate with a speed of 1 m/sec and the average acceleration down the hill was 3 m/s2. If
the skier covers the course in 10 sec, how fast was he moving at the bottom of the course?
O31 m
O 13 m/s
O-29 m/s
O 31 m/s
Answers
If a skier (down a straight course) is able to enter the starting gate with a speed of 1 m/sec and the average acceleration down the hill was 3 m/s², then he was moving at 31 m / s at the bottom of the course.
What are the three equations of motion?There are three equations of motion given by Newton
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
As given in the problem, a skier (down a straight course) is able to enter the starting gate with a speed of 1 m/sec and the average acceleration down the hill was 3 m/s² .
By using the first equation of the motion,
v = u + at
v = 1 + 3 × 10
v = 31 m / s
Thus, he was moving at 31 m / s at the bottom of the course.
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Which one of Newton's laws of motion is the most important?
Answers
Answer:
I think it is the second law
A gold puck has a mass of 12 kg and a velocity of 5i – 4j m/s prior to a collision with a stationary blue puck whose mass is 18 kg. After an elastic collision, the blue puck has a velocity of 2i – 2j m/s. What is the velocity of the gold puck after the collision?
A. 2i –j m/s
B. 3i –j m/s
C. 2i – 2j m/s
D. 3i – 2j m/s
Answers
The velocity of the gold puck after the collision be (2i - j) m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Mass of the gold puck: m = 12 kg
Velocity of it before collision: u = 5i – 4j m/s.
Mass of the stationary blue puck: M = 18 kg.
Velocity of it after collision; V = 2i – 2j m/s.
We have to find: the velocity of the gold puck after the collision: v = ?
From conservation of linear momentum, we get:
Total momentum of the system before collision = Total momentum of the system after collision
⇒ mu + M.0 = mv + MV
⇒ v = u - MV/m
⇒ v = (5i – 4j) m/s - (2i – 2j)m/s×18/12.
⇒ v = (5i – 4j) m/s - (3i - 3j) = (2i - j) m/s.
Hence velocity of the gold puck after the collision be (2i - j) m/s.
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Describe an organism that might live in an extreme environment such as inside a volcano, deep in the ocean, or in an icy cave.
Answers
Answer:
If you haven’t read about the shark found swimming in and out of a segment of an undersea volcano, then you really need to get up to date.
Explanation:
Shrimp
Explanation:
There are shrimp found in underwater volcanoes
PLEASE HELP ME!!!
How do elastic energy, kinetic energy, and gravitational energy differ from each other?
Answers
Answer:
Gravitational pulls things to the ground
Elastic is stretched or compressed or a shape or object
Kinetic is kinda like the force of motion
Hope this helps
In the gravitational energy, things are pulled to the ground by gravity, for elastic energy stretched, squeezed, or as a shape or item, and for kinetic energy it is similar to the force of motion.
What is Kinetic energy?Kinetic energy is the term used in mechanics to describe the impulse that an object experiences as it moves. It is described as the amount of effort needed to move someone of a certain mass to rest to a given velocity. Except for fluctuations in speed, the body retains its acceleration after receiving it during acceleration.
The body uses the same lot of fuel when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any element in the Lagrangian of such a system that seems to have a derivative with respect to time.
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what is the dimensional formula of potential difference
Answers
Answer:
[M1 L2 T-3 I-1]
if an object is dropped 14 meters how long will it take for it to hit the ground
Answers
Hi! I believe your answer is 6.3 seconds because it takes 0.45 seconds for an object to fall 1 meter, so just multiply 0.45 by 14 and you'll get 6.3 seconds. I hope this helps you! Good luck and have a great day/night. ❤️✨
Calculate: A model airplane has a mass of 3.2 kg. Its propeller pulls it forward with a force of 7.0 N. What is the airplane’s acceleration?
Answers
Which of the following statements about the technique of hypnotic regression is not true?
O Recovered memories are not reliable.
Courts often depend upon recovered memories.
O Memories may be planted by the hypnotist.
The process may create stress for the subject.
Answers
Answer:
B. is the correct answer just took the topic review.
Explanation:
Edge2020. Hope that this helps! Peace and Love
Courts often depend upon recovered memories is the wrong statement about the hypnotic regression.
What is hypnotic regression?Hypnotic regression is a contentious method because it can have a number of negative effects on the subjects who undergo it. For the beginners, the memories recovered through any regression can be doubtful and not trust-worthy. All the suggestions or leading questions from the hypnotist or other people of witnesses can affect the memory.
The previous lives memories will be found by the hypnotic technique as a past life regression. If they used to remember the past life by this method they have high chance of getting into the traumas.
Regression therapy mostly used to identify the cause of your current thoughts and reactions. Therapists who is using this techniques to access subconscious memories that are guiding your current behaviour.
Regression therapy is a method of treatment that could approach and focuses on resolving particular past events that are thought to be interfering or relatable with a person's current mental and emotional well-being.
Hence, Option B is the correct answer.
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Which friction static friction, kinetic friction, or air friction? Can be more than one response.
Gripping friction.
kinetic friction
air friction
static friction
Answers
What would you not find on an acceleration graph? *
O pie chart
O x axis
O time
O velocity
Answers
what is the science?
Answers
Answer:
science is something you learn
Explanation:
the intellectual and practical activity encompassing the systematic study of the structure and behaviour of the physical and natural world through observation and experiment.
"the world of science and technology"
Explanation:
Science is what we do to find out about the natural world. ... Natural science makes observations and experiments. Science produces accurate facts, scientific laws and theories. 'Science' also refers to the large amount of knowledge that has been found using this process. Research uses the scientific method.
The y-axis of a position-time graph represents
Answers
A shopping cart is initially at rest when it undergoes a constant acceleration. After
3.0 s, the cart has undergone a displacement of 15 m. What is the cart's
acceleration?
A.3.3 m/s2
B.0.83 m/s2
C.2.2 m/s2
D.68 m/s2
Answers
A jet airliner moving initially at 538 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 937 mph in a direction 23 degrees north of east. What is the new speed of the aircraft with respect to the ground. Answer in units of mph
Answers
Answer:
The speed is "1447.576 mph".
Explanation:
The given values are:
Direction (north to east)
= 23°
Wind's speed
= 937 mph
Jet moving at a speed
= 538 mph
Now,
The velocity of jet airliner with respect to the ground will be:
⇒ [tex]v=v_{1}+v_{2}[/tex]
⇒ [tex]v=\sqrt{(538)^2+(987)^2+2(538)(937)\times Cos23^{\circ}}[/tex]
⇒ [tex]=1447.576 \ mph[/tex]
a swimmer can develop a maximum speed of 8m/s when he is swimming in a pool. calculate the time that is required to pass the distance of 15m
Answers
Answer:
2
Explanation:
what does the galaxy made of ?
Answers
Metalloids have properties of both ________ and _____________
Answers
Answer:Metaloids have properties of both metals and non-metals.
Explanation: