What is Height: Definition and 1000 Discussions

Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position (how "high" a point is).
For example, "The height of that building is 50 m" or "The height of an airplane in-flight is about 10,000 m".
When the term is used to describe vertical position (of, e.g., an airplane) from sea level, height is more often called altitude.
Furthermore, if the point is attached to the Earth (e.g., a mountain peak), then altitude (height above sea level) is called elevation.In a two-dimensional Cartesian space, height is measured along the vertical axis (y) between a specific point and another that does not have the same y-value. If both points happen to have the same y-value, then their relative height is zero. In three-dimensional space, height is measured along the vertical z axis, describing a distance from (or "above") the x-y plane.

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  1. streeters

    Height of a spherical cap with known volume?

    Homework Statement What equation is needed to calculate the height of a spherical cap with a fixed volume and radius? Homework Equations V=πh/6 (3a^2 + h^2) Where V = volume, h is cap height, a is cap radius The Attempt at a Solution I have tried to separate the h out and got as far as...
  2. Suraj M

    Calculating the Height of a Block Launched from a Compressed Spring

    Homework Statement A block of mass 250 g is kept on a vertical spring with spring constant 100N/m fixed from below. The spring is now compressed to have a length 10 cm shorter than its natural length and is released. How high does the block rise?g = 10m/s Homework Equations E=½kx² and other...
  3. Mathias

    Velocity dropped and thrown meet at what height

    Homework Statement Suppose you drop a ball from rest out of a window that is at height H above the ground, and suppose the ball hits the ground with speed S. At the instant that you release the ball, your buddy throws a ball straight up from the ground level with the same speed S. Show that the...
  4. S

    How do I calculate the height this water rocket will rise?

    Homework Statement A 15.0 g plastic water rocket containing 40.0 g of water and compressed air is strung on a very low friction horizontal wire. When fired, compressed air forces the water from the rocket in 0.600 s at an average exit velocity of 4.05 m/s [E]. Based on the information in the...
  5. J

    Can pull up exercise increase height?

    Can pull up exercise (at a younger age, say, before 15 years old) increase height? My guess is yes, since weight lifting could decrease height (Or that is another myth?) If yes, by how much?
  6. S

    Finding the Height of a Dropped Flower Pot

    Hello all: I have a question. I'm looking at this problem: Homework Statement A flower pot falls past your window. The pot is visible for a time t, and the vertical length of your window is L_w. Take down to be the positive direction, so that downward velocities are positive and the...
  7. K

    Find the height of a free falling object

    Homework Statement An object falls freely, moving 60m in the last 2 seconds. Find the height at which it was dropped. [/B]Homework Equations Vf = 1/2(gt^2) + Vo(t)+ Yo g= 9.8m/s^2[/B]The Attempt at a Solution the object accelerates at 9.8m/s^2 . and the velocity would be 30m/s. (60 divided...
  8. D

    Height and Weight: Impact on Cycling Speed Formulae

    Hi, I was reading about bicycles the other day and a question popped up in my head: Does the rider's weight and height affect the speed of the cycle? I have been researching extensively about it but I cannot find any formulae that can be used to measure the effectiveness of the height and...
  9. 2

    Projectile Motion With Unequal Launch And Landing Height

    Homework Statement Below is screen shot of the problem. My friends book was ripped so some of the problem was cut off. Using the diagram I need to find d. The answer is supposed to be 7.42x10^4m. Below the problem is my attempt at the solution. Can someone tell me where I went wrong. As you can...
  10. A

    Gravity on the height of 12740 km ?

    Homework Statement So the problem I have is calculating the gravity acceleration on the height of 12740km or 2 times the radial distance of Earth. The problem is relatively simple and I think that I have it right but the result doesn't match with the book. ## g_0=9,81 \frac {m}{s^2} ##...
  11. M

    Maximum Height of a Thrown Stone with Air Resistance

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  12. F

    Equations of motion for a fixed-height inverted pendulum

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  13. I

    Solving for the Height of a Slope with Unknown Mass

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  14. A

    The height at which the gravity acceleration is 5x smaller

    Homework Statement The problem states to calculate the height at which the gravity acceleration is 5x smaller than on the surface of the earth. So g=9,81 m/s^2 R=6370km M=6x10^24 gamma(don't know how to put it :P)=6,67x10^-11 Homework Equations g=gamma x M/(R+h)^2 The Attempt at a Solution...
  15. D.Man Hazarika

    Finding distance -- Find the height of an object given ratio of two distances

    Homework Statement A body is dropped from certain height H. If the ratio of the distances traveled by it in (n-3) seconds to (n-3)rd second is 4:3, find H (take g= 10 m/s²) (answer: 125m) Homework EquationsThe Attempt at a Solution I did this way but I came to a dead end... To find H, s= 1/2...
  16. S

    How does potential energy increase, if height increases?

    (constants're ommitted) 1-) M=50, m=5, h=5 then Potential Energy = (50*5)/5 = 50 After increasing height 2-) M=50, m=5, h=10 then Potential Energy = (50*5)/10 = 25 Field strength decreases amount of h^2 so according to formulas potential energy decreases as h increases. But that mustn't be...
  17. Calpalned

    Solving for height and gravity

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  18. evinda

    MHB Is my AVL-tree height finding method correct?

    Hello! (Wave) I had a test today , it was given an AVL-tree and I had to find the height of the node with key $k$. That's what I have tried: Height(T,K){ if (T==NULL) return; pointer R; R=LookUp(T,K); int k=height(R); return k; } height(pointer R){ static j=0,l=0; if...
  19. 2

    Finding the pressure at a given height?

    I am having trouble trying to derive the air pressure at a given height. So far, I have considered a 1m^2 patch of area, and the pressure is the weight of all of the air above this patch. So P= \int_R^{\infty}g(x)\rho(x)dx So P= GM\int_R^{\infty}\frac{1}{x^2}\rho(x)dx But then I don't know...
  20. G

    Finding the height of a ball with a geometric series

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  21. terryds

    The height in the potential gravitational energy

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  22. Cake

    Find the Height of the Elevator

    Homework Statement An elevator rises at a constant velocity. A marble is dropped from a hole in the elevator at time T_1. It accelerates downward at 9.8 m/s^2 and hits the floor at time T_2. Define the height at time T_1 Homework Equations y=y_0+v_0 t-1/2gt^2 The Attempt at a Solution So this...
  23. C

    How Does Changing Height Affect Bernoulli's Equation Values?

    It's just a simple question. How does the height effect the other values if the height increases or decreases. What happens when the height increases and what happens when the height decreases?
  24. R

    What is the rebound height of a ball?

    If I have the velocity an object is moving up (lets make it v here), and the mass (m), how do I calculate the height it bounces to, and by using the efficiency of the ball 60% and gravity as 10 (for simplicity), how do i calculate the original height? Assume there is no wind resistance.
  25. lep11

    At what height will the flow stop?

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  26. K

    Height of a drop in a dripping faucet

    This is from question 1 of the F=MA 2012 exam: Consider a dripping faucet, where the faucet is 10 cm above the sink. The time between drops is such that when one drop hits the sink, one is in the air and another is about to drop. At what height above the sink will the drop in the air be right...
  27. J

    Help with oblique motion question (initial height)

    Homework Statement How to calculate initial height (h) in an oblique motion? Data: initial velocity (v0) = 10 m/s angle (α) = 45º g = 10 m/s2 Variables: x - position in the x-axis y - position in the y axis r - range...
  28. L

    Maximum Jump Height of a 12-kg Dog: A Physics Problem

    Homework Statement A 12-kg dog jumps up in the air to catch a ball. The dog's center of mass is normally 0.20 m above the ground, and he is 0.50 m long. The lowest he can get his center of mass is 0.10 m above the ground, and the highest he can get it before he can no longer push against the...
  29. E

    Height: Measurement with Unit h

    the unit h is referring to height or the Planck constant ze
  30. PrincessIceFall

    How to perform a metacentric height lab experiment

    I need help in understanding how to conduct this experiment. I found this lab report online but it is confusing https://www.google.ae/#q=metacentric+height+experiment http://site.iugaza.edu.ps/mymousa/files/Experiment-2hydraulics-lab-.pdf I am finding it difficult to visualize the...
  31. D

    MHB Help Me Visualize: Height of a Mountain

    I'm having a hard time setting up an image of this problem. Can you provide one? Thanks!
  32. P

    Small Ball Falling: Velocity, Acceleration & Height vs Time

    1.Small ball with mass m falls from hight h. Find how velocity, acceleration and height depend on time. Air resistance is linear and depends on velocity ##F = kv##. 2. Air resistance ##F=kv## where ##k## is constant. 3. I do not know where to go after ##ma = mg - kv ##.
  33. M

    Finding the initial velocity of a thrown object using its time to max height

    Homework Statement An object is thrown from the ground into the air at an angle of 30 degrees to the horizontal. If this object reaches a maximum height of 5.75m, at What velocity was it thrown? a= -9.81 m/s h= 5.75 m I know that velocity is the one that I need to solve but I'm kinda finding...
  34. Hijaz Aslam

    Cartesian Convention of Displacement Vectors.

    Homework Statement Q.[/B] A body dropped from a height H above the ground strikes an inclined plane at a height h above the ground. As a result of the impact, the velocity of the body becomes horizontal. The body will take the maximum time to reach the ground if : (a) ##h=\frac H4## (b)...
  35. PrincessIceFall

    Metacentric height : Mechanical Engineering thesis topic

    Homework Statement So I am currently in my final year working on my thesis. Below is the details of my thesis topic: Metacentric height (Computational) It is a simple matter to determine whether a body will float in a liquid, it is not so easy to determine the orientation at which the body...
  36. E

    Max Height of Water in a Container with 0.1mm Hole: Solving h

    Homework Statement A container has a round hole at the bottom. The diameter of the hole is 0.1 mm. The container is filled with water. The maximum height (in m) up to which whiter can be filled without leakage is h/10. Find h. Surface tension= 75 * 10^-3 N/m Homework Equations Pgh*A=F(of...
  37. B3NR4Y

    Height Required for Rollercoaster to Remain on the Track

    Homework Statement A roller-coaster car initially at a position on the track a height h above the ground begins a downward run on a long, steeply sloping track and then goes into a circular loop-the-loop of radius R whose bottom is a distance, d, above the ground in the figure. Ignore friction...
  38. B

    How do I calculate orbital height from orbital velocity?

    I'm sorry if this isn't astrophysics but I didn't know what else to post on. So I play this game called Kerbal Space Program, and I've recently been trying to calculate the delta v needed to launch my rockets and spaceships from all the planets and moons in the game. I learned how to calculate...
  39. Feodalherren

    [ME statics] Papus' theorem - find required height of cup

    Homework Statement Determine the height h to which liquid should be poured into the cup so that it contacts half the surface area on the inside of the cup. Assume that r=11mm and l= 60mm . Neglect the cup's thickness for the calculation.Homework Equations Surface Area = 2πXL where X is the...
  40. N

    Calculating Building Height and Rocket Trajectories

    Homework Statement A rocket is being launched along the line y=x from the base of a building, and another rocket is being launched from the top of the building parallel to the bottom rocket. Another rocket is being launched directly upwards away from the building. Find: The height of the...
  41. N

    Calculate the difference in height of the fluid levels

    Homework Statement The figure shows a schematic drawing of an open ended well-type manometer. Attached to one end of the manometer tube is a well (a reservoir with a higher crossectional area compared to that of the tube). The manometer is filled with a fluid with an SG = 2.95. The manometer...
  42. C

    MHB Calculating Height of RC Glider from Ground and Air Measurements

    Hello,just seeing if someone can help me on here,i have a rc glider measuring 2200 mm on the ground,when in the air it measures about 35mm. Can the the height be calculated from these measurements.
  43. T

    What is the velocity of the ball after H height? Considering wind resistance?

    I've been trying to figure out this problem for hours my whole group and most of the class is stumped. We understand that we need to relate the equations of F=ma, Fd = (Cd*p*v^2*A)/2, Fnet=Fd-Fg. No data is given. The answer is a V=____ equation. Even just an answer to #1 would be very helpful...
  44. H

    How Fast Does a Ball Travel When Dropped from 5 Meters?

    Homework Statement A ball is dropped from a height of 5meters a) what is the velocity of the ball when it reaches the ground ? explain Homework Equations velocity = displacement /timeThe Attempt at a Solution the velocity is increasing due the gravitation of Earth (as 9.8m/s) the ball is at a...
  45. Calpalned

    Best angle to shoot a projectile

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  46. M

    Maximizing Height Above Circle Center with Energy Conservation

    Homework Statement Use energy conservation to answer the following question. A mass is attached to one end of a massless string, the other end of which is attached to a fixed support. The mass swings around in a vertical circle as shown. Assuming that the mass has the minimum speed necessary at...
  47. C

    A dropped stone falls past a window, determine it's initial height

    Homework Statement A falling stone takes 0.33 s to travel past a window 2.2 m tall. From what height above the top of the window did the stone fall? Express your answer using two significant figures. Homework Equations Kinematic Equations ~ X= Vi (time) + .5gt^2 Vf^2 = Vi^2 + 2gxThe Attempt...
  48. H

    Maximum height at which a siphon can drain an open water tower

    Homework Statement If you have a water tower (basically a cup) open to the atmosphere, with a siphon (basically a straw) inside it as shown below: (sorry assume the height h extends to the bottom of the cup instead of only part way - would that change anything though?) Then what is the...
  49. T

    Height of cliff using energy and speed of sound

    Homework Statement [/B] A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 4.0s later. how high is the cliff Homework Equations .5mv^2+mgy = E v = v0 + at v = d/t The Attempt at a Solution The question says after the rock is DROPPED so i...
  50. B

    Velocity of Baseball at 47 m Height

    Homework Statement A baseball is hit directly upward with an initial speed of 37 m/s. Find the velocity of the ball when it is at a height of 47 m. Homework Equations F=ma F=ag The Attempt at a Solution F=(37)(-9.8)=-362.6/47=7.7[/B]
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