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. R

    How do i account for the height for projectile motion

    Homework Statement A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a) How far from where the child is standing does the ball hit the ground? (b) How...
  2. FactChecker

    Damage height versus waterline when ships collide

    I am curious. There have been two collisions recently between a military ship and a large commercial ship. Both times, the military ship was damaged at the waterline and the other ship was damaged far above the waterline. How does that happen?
  3. M

    Thin film interference—find the height of a wedge

    Homework Statement Two rectangular pieces of plane glass 11.0 cm long are laid upon the other on a table. At one end they are in contact, at the other end they are separated by a piece of paper, which forms a thin wedge of air. The plates are illuminated at normal incidence by 510 nm light...
  4. Pushoam

    At what height does this plank leave the wall

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  5. Alexanddros81

    Compute the angle θ that will maximize the height of h of the impact point

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  6. S

    What happens to the levitating height when more magnets are added?

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  7. J

    Maximum height a waitress can push on a glass without it tipping

    Homework Statement I have attached the problem. I will write it out: A waitress attempts to push a glass of water of heigh 15.o cm and diameter of 7.00 cm on a dining table, as shown in the figure. If the coefficient of static friction between the glass and the table's surface is 0.350, what...
  8. Alexanddros81

    Calculating Height h from a Projectile Launched at A

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  9. C

    Projectile motion -- how long does it take the projectile to reach maximum height?

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  10. J

    Off center fed dipole input impedance vs height above ground

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  11. J

    General Physics Question -- Max height of a projectile

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  12. R

    Energy required to slow mass falling from "X" height

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  13. AdrianMachin

    Height differences from relative uncertainty of gravimeters

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  14. Const@ntine

    Minimum Height of a Vertical Reflector

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  15. binbagsss

    A Valence formula- fundamental domain- why truncation height?

    In the proof of the valence formula you integrate ##f'(t)/f(t)## around the boundary of the fundamental domain, with some modifications such as : - omitting the points ##i, \omega ## - since equivalence is allowed on the boundary, modifying as needed to ensure such points that are equivalent...
  16. Vital

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    Homework Statement Hello! Please, help me to understand the task - I seem to fail to understand what goes where, and hence cannot proceed to solving the exercise. Please, take a look at the task, and then my questions. The task is on using the law of sines. Before trying to solve it I need to...
  17. H

    Height of falling object vs. compression of spring

    1. Question Given an idea spring with constant K, a mass of M is dropped onto the spring from a height of H1. The spring compresses D distance. We take the mass off, and drop the mass again at a height of H2, where H2 is significantly greater than H1. This time, will the spring compress a...
  18. F

    Find the change in height of a bridge

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  19. Superman123

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  20. O

    Calculate circle radius with segment height and perimeter

    (mentor note: posted in a non-homework forum hence no template) Hello! I have a problem I'm trying to solve. I'm transforming a circle with known radius. Knowing it's radius i can calculate the circumference. I transform it by squeezing one side, leveling it, creating a circle segment with a...
  21. J

    I Help in calculating the orbiting height of a satellite?

    I have a satellite orbiting at a velocity of 3850Km/hr around planet Earth in a circular orbit, please help me in calculating it's height of orbit. I do know that the closer a satellite is, the faster it's orbital velocity, and the farther it is the slower it would be, and help me with the formulas?
  22. K

    LaTeX How to make an adjusting height integral sign

    $$\left \int \frac{dy}{y^{1/3}} \right.$$ Doesn't work. There also was an examples page in your site, i don't find it
  23. aatari

    Projectile Motion: Height of hammer thrown downwards

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  24. L

    Does My Height Make Sense for My Genetic Makeup?

    Me: 6'0.125" Elder brother: 6'2.7" Sister: 5'9.25" Father: About as tall as my brother Grandfather (paternal side): I don't know his height due to him having passed away long before I was born, but he looked about as tall me in a picture Mother: 5'4.5" Grandmother (maternal side): Used to be...
  25. EthanVandals

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    Homework Statement A projectile is launched at 750 meters per second at a 30 degree angle to the horizon. How long is it in the air? How far does it go? What is the maximum height that it reaches? Homework Equations Sin(30)=1/2 Cos(30)=sqrt(3)/2 The Attempt at a Solution This is what I have...
  26. Sam 1998

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  27. mamadou

    What is the minimum height?

    Homework Statement An empty ball , of mass m moment of inertia I = (2m.r²)/3, is rolling across the path shown below : there is friction fr from A to C . r is the radius of the ball , and R is the radius of the circular part within the path . what would be the minimal height h , so...
  28. Ian Baughman

    Density of an ideal gas as a function of height

    Homework Statement If air has a density of ρ0 on the surface, calculate its density as a function of the height y for two scenarios: (a) the temperature is constant at T0; (b) the temperature decreases linearly T(y) = T0 − ay. Express your results using the given variables together the...
  29. Vitani11

    Height of a projectile at two points?

    Homework Statement A projectile is fired with a velocity v such that it passes through two points both at a distance h above the horizontal. Show that if the gun is adjusted for maximum range, the separation of the points is d = (v/g)(√v2-4gh) Homework Equations y = -gt2/2 + vsinθt x = vcosθt...
  30. Q

    Solving for Initial Velocity & Max Height of Thrown Ball

    Homework Statement A ball is thrown upwards. Its velocity at 3/5 its max height is 16.0m/s What is its initial velocity? What is its max height? Homework Equations vf^2 = vi^2 -2g(yf-yi) define up as positive The Attempt at a Solution I ran through numerous attempts on paper but can't...
  31. R

    Kinematic equations for max height

    Homework Statement Homework EquationsThe Attempt at a Solution So (i) was easy enough and I got a time of 0.67 seconds. For (ii), since the horizontal time is 0.67 seconds this means the TOTAL time spent in air is also 0.67 seconds, so to calculate max height we split this time in half...
  32. M

    MHB Height : Normal distribution

    Hey! :o I am looking at the following: The average tallest men live in Netherlands and Montenegro mit $1.83$m=$183$cm. The average shortest men live in Indonesia mit $1.58$m=$158$cm. The standard deviation of the height in Netherlands/Montenegro is $9.7$cm and in Indonesia it is $7.8$cm...
  33. fresh_42

    Helicopters and operational height limits

    I know that helicopters cannot fly arbitrary high and 5,000 m are considered as the average limit. In a quick search I also found out, that a AS 350 B3+ has been landed on the Everest (8,848 m, 2005) and another AS 350 has (unofficially) reached 12,954 m in 2012 (official record: 12,442 m by a...
  34. G

    B Height measurement on other planets

    If you measure the height of a mountain, you compare it's height with the sea level. But on let's say mars, how do you measure height when there is no sea to compare with? For example: Olympus Mons is considered to be the tallest mountain or vulcano in the solar system, but what is the level on...
  35. R

    A Change in the height of a fluid vortex

    I'm currently struggling slightly with finding some information regarding a vortex. If I have a fluid in a cylindrical container and the fluid is then rotated at a constant speed, the vortex will displace the water and raise it relative to the initial level of the fluid. Is there any formula...
  36. J

    Minimum safe height for a roller coaster

    Homework Statement Based on the height of a first hill (114.5m), mathematically determine the minimum height (circular motion and radius) of the next hill based on the speed generated on the first hill. At the bottom of the first hill, the velocity of the roller coaster is 47.38m/s. There is...
  37. S

    Height block reaches on accelerating quarter pipe

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  38. N

    Find the height the block rises to after an elastic collision

    Homework Statement Two blocks are free to slide along a frictionless wooden track ABC as shown below. The block of mass m1 = 5.09 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end...
  39. Const@ntine

    "Vomit Comet" SpaceCraft (0)-V & H at Max Height

    Homework Statement Physics for Scientists and Engineers, 8th Edition, Ex. 47 M4 A spacecraft flies from 24.000 ft to 31.000 ft, in which it enters a parabolic trajectory with a velocity of 143 m/s at an angle of 45, above the horizontal. It exits with a velocity of 143 m/s at an angle of 45...
  40. Sciencelover91

    How do you find object's velocity and height using energy?

    Homework Statement In the diagram above, a box of mass .385 kg is sliding at the right at 1.55 m/s across a frictionless surface when it falls into the hole shown. a) How fast is it moving when it passes point P? b) How fast is the box moving when it passes through the bottom of the hole the...
  41. G

    How Does Earth's Longitude Affect Free Fall Equations?

    Homework Statement Solve free fall from height h to the Earth´s surface in the place longitude φ. During solving, Consider gravitation acceleration as a constant for the whole trajectory, so g=constant. (consider a homogeneous gravity field) and variables which are including angular speed ω...
  42. G

    How Is the Coriolis Force Applied in Calculating Free Fall?

    Hi, I would need some help with my homework. I am lost. Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are...
  43. G

    How Does Coriolis Force Affect Free Fall at the Equator?

    Hi, I would need some help with my homework. I am lost. Solve free fall from height h to the Earth´s surface in the place with geographical width φ. During solving, omit addiction gravitational acceleration to the distance. (consider a homogeneous gravity field) and variables which are...
  44. D

    Finding height dropped from Force vs. Time graph

    Homework Statement A pumpkin was dropped from a balcony of a skyscraper. The pumpkin happened to land on a sidewalk force sensor and the below data was collected. The pumpkin weighs 2.7kg. a) From what height was the pumpkin dropped? b) From what floor of the skyscraper was the...
  45. physicsEnthu_123

    I Why Sea Level sometimes gives an illusion being at height

    Why Sea Level sometimes gives you an illusion being at height like a small mountain? Specially when you are driving down of the mountain? Please find the attached image to see what I am referring to.
  46. G

    Finding maximum height of a string before it goes slack

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  47. S

    What Are the Formulas for Calculating Height in Synchronous Orbit?

    Homework Statement In order for the enterprise to use its transporter it must be in synchronous orbit over the beam-down point. What heigh above the planet Mars must the enterprise be for a synchronous orbit? Homework Equations Please, can someone tell me for future reference what I should use...
  48. FallenApple

    Ball bounces back to same height after Angular Impulse?

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  49. I

    Finding the best height for windmill towers

    To approximate windspeeds we normally use the natural logarithm relation: u_air = V ln [ (z-d) / z_0 ]Where: V - Characteristic speed, constant z - height from the ground z_0 - roughness length, constant d - zero plane displacement, constant The Betz limit tells us that in theory that the max...
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