A tennis ball is tossed up off a building with a velocity of 22m/s. It takes 6.4s to reach the ground. How high is the building and what is the maximum height of the tennis ball?
Answers
Our knowns:
Vi (initial velocity) = 22m/s
Vf (final velocity) = 0m/s (when the ball reaches its apex)
a (acceleration, rounded to make life easier) = -10m/s²
t (total time) = 6.4s
Our unknown:
Δx (displacement)
So now with all of that, we can get started.
First, we'll calculate the height of the ball at its apex:
Vf² = Vi² + 2aΔx
0 = 484 + 2(-10)Δx
0 = 484 - 20Δx
-484 = -20Δx
24.2 = Δx
This means that, when the final velocity is zero (max height), the height of the ball is 24.2 m. Now that you know this, you can find the remaining height the ball has to fall to reach the ground (now we need the time).
Tip: Remember that this is symmetrical movement, so the final velocity will be equal to the initial velocity, but only negative because the now the ball is falling. Similarly, the initial velocity will now be the final velocity the ball had at its apex.
You can use a few equations, but I chose this one:
Δx = [tex] \frac{1}{2} [/tex](Vi + Vf)t
Δx = [tex] \frac{1}{2} [/tex](0 - 22)6.4
Δx = -70.4 m (it's negative because the ball is falling)
NOT done yet. That does not mean that the building is 70.4 m tall; it is the displacement from which the ball fell from its apex. However, knowing this and the height of the ball at its apex, we can find what is in between, AKA the height of the building.
Height of building = 70.4 m - 24.2m = 46.2m
So, the height of the building is 46.2m. And the maximum height of the ball is 70.4m. For the sake of significant figures, it would be 46m and 70.m.
I've included a graphic to help visualize it. Hopefully it's helpful.
Related Questions
if you were in a canoe on a calm lake and you threw a heavy stone into the water in front of you what would the canoe do
A- the canoe would move backward a bit
B- the canoe would move forward a bit
C- the canoe would move forward and keep going
D- the canoe would not move because it is too heavy
Answers
Answer: Option A: The canoe would move backward a bit.
Explanation:
Newton's third law of motion states that for every action there is equal and opposite reaction. This means when you threw a heavy stone in front of you, you applied a force. Equal and opposite force acted on the canoe and it moved backward a bit.
Hence, according to Newton's third law of motion, when you throw a heavy stone forward, and equal amount of force will push the canoe backwards.
Final answer:
In a canoe, throwing a heavy stone into the water away from you will cause the canoe to move backward a bit due to Newton's Third Law of Motion. This motion is equal and opposite to the force applied when throwing the stone. The principles of forces help understand canoeing strategies, as well as the motion and sinking of objects in water.
Explanation:
When you are in a canoe on a calm lake and throw a heavy stone into the water, what you're experiencing is an application of Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. So, if you throw the stone away from the canoe, the force of throwing the stone forward will produce a reactive force in the opposite direction, causing the canoe to move backward a bit, which corresponds with option A. This movement is temporary, and once the initial reactionary force dissipates, the canoe will stop moving backward unless other forces are at play.
Canoeing techniques also involve understanding the forces at play. When paddling a canoe upstream, staying near the shore is wise due to the slower water speeds caused by friction between the water and the riverbanks. Meanwhile, when canoeing downstream, it is often best to stay near the middle where the current is stronger and can assist in propelling you forward with less effort.
This understanding of forces also clarifies that the motion of objects, such as a stone thrown into water, can be influenced by factors like density and gravitational force, rather than only the force exerted by a throw. When a stone is placed in water, it sinks because the stone's density is greater than water's, leading to a gravitational force that exceeds the buoyant force on the object.
Tim observes that a force pulls him down when he jumps up in the air. Based on his observation, which conclusion is correct?
Gravitational force is a contact force.
Gravitational force helps objects float.
Gravitational force pushes an object up.
Gravitational force is a non-contact force.
Answers
Answer:
Gravitational force is a non-contact force.
Explanation:
jefve;jvnaknvkvndakvkajvjNDVAKLDVNKALJSDNVASKLVJNASJKVNSJKAVNSKJNKSJAVNKJSAVNAJKSVNJKASNVJKSNJKNAJKNAJKNAJVNJSNJDSJNJDVS
How would you calculate the spring constant of an unknown spring?
Answers
Final answer:
To find the spring constant, apply Hooke's Law using the formula F = kx, where F is force due to gravity (mg), and x is the stretch distance. For a 10.0 kg mass stretching the spring 8.00 cm, the spring constant is calculated as 1225 N/m.
Explanation:
To calculate the spring constant (k) of a spring, you can use Hooke's Law, which is F = kx, where F is the force applied to the spring, and x is the displacement of the spring from its equilibrium position. In the scenario where a spring stretches 8.00 cm (or 0.080 meters) for a 10.0 kg load, the force exerted by the load (F) can be found using the force due to gravity, which is F = mg. The mass (m) is 10.0 kg, and the acceleration due to gravity (g) is approximately 9.80 m/s². Thus, F = (10.0 kg) × (9.80 m/s²) = 98.0 newtons (N).
Now that we know F and x, we can solve for the spring constant (k):
k = F/x
k = 98.0 N / 0.080 m
The spring constant k is 1225 N/m.
Which of the following make up the nucleus of an atom?
Answers
Hope this helps!
What did early South American civilization do to promote farming
Answers
What is chemical stimuli
Answers
why does glass expands before water?
Answers
What is meant by saying that a wave has a low frequency?
A. The wave is very tall
B. The wave is very long
C. Few wave peaks pass a point in one second
D. A large number of wave peaks pass a point in one second.
Answers
If you have a mineral sample with a volume of 4 ml and a mass of 20 grams , what is the density ?
Answers
20 divided by 4 is 5, so the density of the mineral sample is 5 grams.
Please correct me if I am wrong!
The density of a mineral sample with a volume of 4 ml and a mass of 20 grams is 5 grams per milliliter (g/ml).
If you have a mineral sample with a volume of 4 ml and a mass of 20 grams, the density can be calculated using the formula:
Density = Mass / Volume
Substituting the given values into the formula, we get:
Density = 20 grams / 4 ml = 5 grams per milliliter (g/ml).
What does the force of gravity on an object depend on?
A. the object's mass
B. compounds
C. molecules
D. charged particles
Answers
That's why the same objects will weight differently on different planets.
HELP PLEASE ASAP!!!!
Which of the following terms describes how mountains form?
A: Gradually
B: Rapidly
C: Explosively
D: Destructively
Answers
The velocity of a wave is a function of its:
energy
form
medium
amplitude
Answers
Answer:
amplitude is the answer
Which of these is an example of a physical change? Question options: wood decaying iron melting paper burning steel rusting
Answers
its either that or melting iron but im 90 percent sure its paper burning
Final answer:
Iron melting is an example of a physical change because it involves a state change without altering the substance's chemical composition.
Explanation:
An example of a physical change from the options provided is iron melting. Physical changes are characterized by a change in the state or properties of matter without altering its chemical composition. When iron melts, it changes from solid to liquid, but the substance remains iron; its molecules are not changed. Other examples of physical changes might include boiling water, dissolving sugar in water, or breaking a mirror. Conversely, wood decaying, paper burning, and steel rusting involve chemical reactions that create new substances, thus, they are chemical changes.
Dylan is the best athlete in our school. He plays football, basketball, and baseball and does the pole vault for the track team. He can vault up to five and seventy-three hundredths meters. If he would like to be able to pole vault up to six and twelve hundredths meters, how many more centimeters does he need to pole vault to reach his goal?
Answers
goal - current = needed
6.12 - 5.73 = 0.39 m.
Now, we need to convert to cm. Since there is 100 cm in 1 m:
0.39 * 100
39 cm
Hope this helps!
the chart lists the masses of four balls that have the same momentum. Which correctly compares 2 of the balls
Answers
Answer:B : D
The correct answer would be B:The red ball has a greater velocity than the purple ball.
Hope this helped : )
Explanation:
This force on compass dials is an example of a force that _______.
A. needs electricity to act.
B. acts through particles in the air
C. acts only on contact.
D. acts at a distance.
Answers
acts at a distance
is the answer
a track coach with a meter stick and a stopwatch is trying to determine if a student is walking with constant speed.he should...
Answers
all but one statement applies to electromagnetic radiation
Answers
Answer:
Its D can i get brainliest
Explanation:
A 3.0-kg block sits on top of a 5.0-kg block which is on a horizontal surface. The 5.0-kg block is pulled to the right with a force F⃗ as shown in the figure. The coefficient of static friction between all surfaces is 0.57 and the kinetic coefficient is 0.43. What is the minimum value of F needed to move the two blocks?
Answers
Final answer:
The minimum value of the force needed to move the two blocks is approximately 27.93 N.
Explanation:
To determine the minimum value of the force needed to move the two blocks, we need to consider the friction between the blocks and the surface. Since the coefficient of static friction is given, we can use it to find the maximum static friction force:
Fstatic_max = μstatic × N
where μstatic is the coefficient of static friction and N is the normal force. Since the 3.0-kg block is sitting on top of the 5.0-kg block, the normal force on the 5.0-kg block is equal to its weight:
N = m × g
where m is the mass of the 5.0-kg block and g is the acceleration due to gravity. Once the force F is greater than the maximum static friction force, the blocks will begin to move. The minimum value of F needed to move the two blocks is therefore equal to the maximum static friction force:
F = Fstatic_max
Substituting the given values, the equation becomes:
F = μstatic × (m × g)
Plugging in the values, we get:
F = 0.57 × (5.0 kg × 9.8 m/s²)
Simplifying, we find that the minimum value of F needed to move the two blocks is approximately 27.93 N.
A small child gives a plastic frog a big push at the bottom of a slippery 2.0 meter long, 1.0 meter high ramp, starting it with a speed of 5.0 m/s. What is the frog's speed as it flies off the top of the ramp?
Answers
Because the ramp is slippery, ignore dynamic friction.
Let m = the mass of the frog.
g = 9.8 m/s²
The KE (kinetic energy) at the bottom of the ramp is
KE₁ = (1/2)*(m kg)*(5 m/s)² = 12.5 m J
Let v = the velocity at the top of the ramp.
The KE at the top of the ramp is
KE₂ = (1/2)*m*v²= 0.5 mv² J
The PE (potential energy) at the top of the ramp relative to the bottom is
PE₂ = (m kg)*(9.8 m/s²)*(1 m) = 9.8m J
Conservation of energy requires that
KE₁ = KE₂ + PE₂
12.5m = 0.5mv² + 9.8m
0.5v² = 2.7
v = 2.324 m/s
Answer: 2.324 m/s
PLEASE HELP!!!!!!!!!!!
Will it float? YES or NO
Ice = 0.92g/cm3
Wood = 0.45 g/cm3
Answers
Ice=No
hope that helped
Which winds are affected by specific landforms on earth's surface?
A) Westerlies
B) Polar Easterilies
C) Trade Winds
D) Local Winds
Answers
The winds affected by specific landforms on earth's surface are: Local winds.
I hope my answer helped you out! :)
A new statue of the town founder is erected in the park. At the unveiling, the statue is a orange-brown copper. After a year, the statue looks blue-green. Has a physical or chemical change taken place?
Answers
Please help have no clue on this
Answers
our boss asks you compare two sound waves and determine which has the higher frequency. Wave A has a period of 4⁄100 second and Wave B has a perio of 1⁄7 second.
Answers
Period = 1/frequency
Therefore,
Frequency = 1/period
For wave A:
period = 4/100
frequency = 1/(4/100) = 100/4 = 25 Hz
For wave B:
period = 1/7
frequency = 1/(1/7) = 7 Hz
Based on this, wave A has higher frequency.
Wave B- period = 1/7 and the frequency = 1/(1/7) = 7 Hz
Wave A has a higher frequency.
A graph that shows that the pressure of a gas varies inversely with its volume under constant temperature demonstrates
A. The pressure law
B. The density law
C. Charle’s law
D. Boyle’s law
Answers
B. The density law
What happens to the particles of the liquid inside a thermometer when the thermometer is heated?
They slow down and spread apart.
They speed up and spread apart.
They slow down and move closer together.
They speed up and move closer together.
Answers
Speed up and spread apart
Discuss potential behavioral concerns for people should they travel to Mars.
Answers
The Answer above is Correct :)
Planets, stars, asteroids and other celestial bodies have generally round shapes. Some are ovals, others really bumpy circles, and some are a very squished oval. Why are none triangular or rectangular?
Answers
what is the difference between magnetism and a magnetic field
Answers
Magnetism is a force that can attract "pull toward" or repel "push away" some materials. Certain elements such as cobalt, iron, and nickel. are strongly attracted by a magnetic force and are called ferromagnetic.
A magnetic field is the area of space around a magnet where magnetism is detected. The poles are where the magnetic field is the strongest. The larger the magnet, the greater its magnetic field is.