Height Definition and 1000 Threads

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.

View More On Wikipedia.org
Recent contents Top users
  1. G

    Projectile Motion Max Height and Range

    Homework Statement A projectile is launched with initial speed v0 and angle θ over level ground. The projectile's maximum height H and horizontal range R are related by the equation R = 4H. Write an expression for the launch angle of the projectile. Homework Equations R=4H Vxo=Vocos(θ)...
  2. C

    Shooting a bullet at an angle from a given height

    Homework Statement A sniper standing on a 70 meter-tall tower fires his rifle at 30 degrees upwards with the initial velocity of 1000 m/s. What is the range of the bullet and how much time will pass before it hits the ground? Assume no air-resistance. 2. The attempt at a solution I divided...
  3. 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...
  4. 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?
  5. 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...
  6. Pushoam

    At what height does this plank leave the wall

    Homework Statement Homework EquationsThe Attempt at a Solution When the plank leavs the wall at angle ##\theta ##, Torque about ground ## \tau _g = mgl \cos \theta = \frac { m(2l)^2 \alpha }3## Torque about COM ## \tau _c = Nl =\frac { m(2l)^2 \alpha } {12} ## Acceleration of COM: a =...
  7. Alexanddros81

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

    Homework Statement A projectile, launched at A with an initial velovity of 24m/s at the angle θ, impacts the vertical wall at B. Compute the angle θ that will maximize the height of h of the impact point. What is this maximum height? Homework EquationsThe Attempt at a Solution I guess I have...
  8. S

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

    Imagine one magnet levitating above another. Now imagine another 3 magnets are added to the bottom magnet (image below). What would happen to the levitating height? I'd imagine the levitating height would increase and the force would increase by 4 times. I had a quick look online but I...
  9. 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...
  10. Alexanddros81

    Calculating Height h from a Projectile Launched at A

    Homework Statement A projectile launched at A with an initial velocity of 24 m/s at the angle θ=60deg, impacts the vertical wall at B. Neglecting air resistance, calculate the height h Homework EquationsThe Attempt at a Solution Here is my solution As you can see to find height h I assumed...
  11. C

    How Long to Reach Maximum Height for a 70 m/s Projectile at 45 Degrees?

    Homework Statement A projectile was launched at 70 m/s at an angle of 45 degrees above the horizontal, how long does it take the projectile to reach maximum height? Homework Equations Vyo= initial vertical velocity Vo=initial velocity The Attempt at a Solution I tried using the...
  12. J

    Off center fed dipole input impedance vs height above ground

    I have a question for the community. I am doing a further study and trying to locate any information regarding input impedance of an off center fed dipole at different heights above ground. A simple dipole targets 73.1 ohms for 1 wave length or higher above ground. I am not sure if the same...
  13. J

    General Physics Question -- Max height of a projectile

    When an object is thrown or propelled upwards and it meets the point at deceleration and drops; what is that point called, where the object is not moving in either direction?
  14. R

    Energy required to slow mass falling from "X" height

    I'm trying to figure out how much energy needs to be absorbed, radiated or displaced from an object falling from various heights. To make this clear, the "item" is a person so the weight can vary from 70-350lbs and the height let's say 60-3500 ft. Obviously the speed at the end will determine...
  15. AdrianMachin

    Height differences from relative uncertainty of gravimeters

    Homework Statement The best relative gravimeters have a relative uncertainty of 10-12, that corresponds to a height difference of 3 µm. Homework Equations g∝(1/r2) The local gravitational acceleration g outside the Earth is proportional to 1/r2, which means (Δg)/g = -2 (Δr)/r. With (Δg)/g =...
  16. Const@ntine

    Minimum Height of a Vertical Reflector

    Homework Statement Find the minimum height of a vertical flat reflector, in which a 1,78 m person can see its full reflection. Homework Equations M = h'/h The Attempt at a Solution I really don't know what to do here, and I feel as if I'm missing some crucial element. The chapter about...
  17. 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...
  18. Vital

    Find the height of the tree - understanding the task

    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...
  19. 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...
  20. F

    Find the change in height of a bridge

    Homework Statement A bridge with a steel framework is 500.000m long on a winter day at 5.0 C. For steel use 11.0x10^-6/ dC a) Find the length of the bridge on a summer day when the bridge temperature is 55.0 C. Keep 6 significant figures in this part and in part b). The bridge is built in the...
  21. Superman123

    How high will UT bounce on a bungee jump from the Golden Gate Bridge?

    1. Ut will bungee jump from the golden gate bridge. The height that she will jump from is 65 meters. The rope pulls her up 8 meters above the water. If UT's weight is 63 kg, how far will the rubber rope pull her upwards, if there's no loss to friction or air resistance? Homework Equations...
  22. 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...
  23. 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?
  24. 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
  25. aatari

    Projectile Motion: Height of hammer thrown downwards

    Hey Guys, I have attempted the question below and need someone to check my work, please. Thanks! 1. Homework Statement If the hammer was tossed downward at 4.6 m/s from a height of 9.5 m above ground level, how high would it be after 0.75 s? Homework EquationsThe Attempt at a Solution [/B]
  26. 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...
  27. Ashley Leong

    How does drag force change the maximum height of projectile?

    How does air resistance change the maximum height of a projectile ?
  28. EthanVandals

    What is the Maximum Height of this projectile?

    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...
  29. Sam 1998

    Finding relationship between Range and Launch height

    Homework Statement I am currently trying to find a way to determine the relationship between launch height and range for a projectile launched at less than horizontal. Would vary launch height to and measure range. I need a directly proportional equation or at least a linear relationship...
  30. mamadou

    What Is the Minimum Height for a Ball to Complete a Loop in Physics?

    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...
  31. 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...
  32. 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...
  33. 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...
  34. 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...
  35. M

    MHB How Tall Are Indonesians Compared to Dutchmen?

    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...
  36. F

    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...
  37. 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...
  38. 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...
  39. 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...
  40. S

    Height block reaches on accelerating quarter pipe

    Homework Statement A block in the shape of a quarter circle moves at constant acceleration across the floor. At some moment a small block of mass m, which is at rest with respect to the floor, is placed atop the horizontal part of the large block. There is no friction in this problem. Assuming...
  41. 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...
  42. 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...
  43. 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...
  44. 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...
  45. 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...
  46. 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...
  47. 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...
  48. 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.
  49. G

    Finding maximum height of a string before it goes slack

    Homework Statement A mass m is suspended by a light elastic string. When the mass remains at rest it is at a point 0, which is a distance a + b below the point from which the string is suspended from the ceiling, where a is the natural length of the string. The mass is pulled down a distance h...
  50. 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...
Back
Top