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. QuantumCurt

    Finding height using angle of elevation

    Homework Statement In traveling across flat land, you notice a mountain peak directly in front of you. Its angle of elevation (to the peak) is 3.5 degrees. After you drive 13 miles closer to the mountain, the angle of elevation is 9 degrees. Approximate the height of the mountain...
  2. S

    Solving Johnny's Swing Height Puzzle: Can You Get 1.4 Meters?

    Homework Statement Johnny is swinging (on a swing) at a velocity of 4m/s when he is 56 cm above the ground. What is his maximum height? Johnny is 45 Kg. Homework Equations Pe = mgh Ke= (1/2)(m* v^2) Total energy= Pe + Ke The Attempt at a Solution I tried setting the Ke equal to the Pe...
  3. C

    Angle when a projectile is launched at a height from the ground

    This a question from projectile motion. This is NOT "homework"; it's a concept that got me thinking. When a projectile is launched from the ground level and it falls back on the same (ground) level, the horizontal displacement is maximised if the angle of projection (with respect to the...
  4. T

    Calculating the height of the water column

    Homework Statement A solid cubical block with a side of 11.0 cm floats in mercury so that 5.48 cm of the side of the block is submerged in the mercury. Water is then poured on the system until the block floats completely submerged. calculate the height of the water column that was added. The...
  5. R

    Height of fluid and Bernoullis equation

    Homework Statement An ideal liquid flows horizontally through a pipe of cross sectional area 3cm2 with a velocity 1ms-1. The pipe narrows to a cross sectional area 1cm2. 2 vertical pipes are connected to the pipe, one in either region. Calculate the height difference of the liquid between...
  6. V

    Calculate Capillary Depression of Mercury in Glass Tube

    Homework Statement Given the following information, derive and expression to calculate the capillary depression of mercury in a glass tube given that: Contact angle = 140 degrees Surface tension 'Gamma' = 0.476 Nm^-1 Tube diameter = 1.0mm Density of mercury 'rho' = 13.58x10^3 kgm^-3...
  7. marcophys

    Gravity is std. therefore can we rate a 'mass at height' by watts?

    For example... wind turbines are primarily listed by their wattage (1.5MW etc.) Presumably their output is varied according to rotational speed, so I'm guessing that the rating is simply a guide. However, for a given mass, at a given height; due to standard gravity, can we state that this...
  8. G

    How can I accurately simulate projectile motion with variable factors?

    I have been looking into projectile motion equations and am struggling to find suitable ones that cover a projectile being launched at height. I know this sounds like homework, but it isn't. I am after trying to understand a 6 degree of freedom style taking into account terminal velocity...
  9. E

    Projectile(no height) and Displacement(Gravity)

    Hello guys! First post here on the forums and I'd greatly appreciate it if I could receive some help with 2 physics questions. The first one is a projectile question, and the second involves and object falling in a certain time frame through a certain length. 1. A car is racing towards a 20...
  10. K

    Distance travelled of an object falling from non-negligible height

    In a free-fall problem, 9.8 m/s^2 works fine as long as you stay close to the earth. However, if you are falling from very high up, the change in acceleration due to gravity is no longer negligible. Let's say there's an atmosphereless planet of mass M, and another object of negligible mass is...
  11. Z

    Height difference in liquids with different densities.

    Homework Statement A container formed according to the figure, as two communicating vessels, is open. Both parts have a square cross section, with side 1.0 dm of the left part and 2.0 dm of the right. From the beginning, the container contains only water, and the two water surfaces is then...
  12. E

    The Bouncing Ball: Understanding Energy Conservation

    Homework Statement Time tries to crush a 0.85kg basketball, but is only able to compress it by 1.5cm when a force of 50N in applied a) What is the spring constant of the ball? b) When he throws it against the floor, it is compressed by 3.4cm. How high will the ball bounce? Homework Equations...
  13. N

    Steel mass attached to the ceiling, maximum height gain if it is hit

    Homework Statement A 275 KG steel mass is held by a long cable to the ceiling. Daniel hits the steel mass horizontally and gives it a horizontal speed of 1.75 m/s. Assuming there is no friction, determine the maximum height gain, in centimetres, of the steel mass after the collision...
  14. R

    Apparent Height in a Swimming Pool

    Homework Statement A person swimming 0.95 m below the surface of the water in a swimming pool looks at the diving board that is directly overhead and sees the image of the board that is formed by refraction at the surface of the water. This image is a height of 6.00 m above the swimmer. What...
  15. R

    Object Height In a Plane Mirror

    Homework Statement The image of a tree just covers the length of a plane mirror 3.80 cm tall when the mirror is held 40.0 cm from the eye. The tree is 20.0 m from the mirror. What is the height of the tree? Homework Equations m=y'/y, s=s'=20m (from problem statement) The Attempt...
  16. M

    How to find height of original hill (roller coaster loop problem)

    Homework Statement Radius of loop: 20 m Mass of cart: 225 kg Gravity: 10 m/s/s (once I figure out how to do this I'll use 9.8 in the final project) Found so far: B) Velocity (top of loop) = 14.14 m/s C) GPE at the top of the loop = 90000 N C) KE top of loop = 22500 N D) KE (bot) =...
  17. A

    Height of a fluid in a small tube

    Homework Statement An upper tube of cross sectional area A, atmospheric pressure, and height h1 is connected to a lower tube with cross sectional area A/2 (and height 0). A fluid of uniform density rho flows through the system, with velocity v measured in the upper tube. A small open tube...
  18. V

    Why mesosphere temperature decreases with height?

    I was trying to understand the temperature profile of the atmosphere. I am clear with what causes the temperature variation in troposphere and stratosphere. But when coming to mesosphere i can't understand why temperature decreases with height. It is given that it is due to radiative cooling...
  19. F

    Pressure difference when height changes

    Homework Statement Calculate the difference in pressure (in atmospheres) that the blood vessels in a giraffe's head have to accommodate as the head is lowered from a full upright position to ground level for a drink. The height of an average giraffe is about 6m. (Note I'm currently only...
  20. R

    Drop Test Results: 24.75lb Weight at 1ft Height

    im trying to calculate the drop force of falling object. we do drop test at my work and believe the figures are wrong. we drop a 24.75lb weight from different heigths to check parts . they have it now set that dropping the given weight from 1 ft only produces 24.75 ft/lb force and they add 24.75...
  21. Saitama

    Pressure at Height: Calculate Pressure Change

    Homework Statement (see attachment) Homework Equations The Attempt at a Solution I am not sure how to start with this problem. Do I need to use the barometric formula? Barometric formula: p=p_0exp\left(\frac{-Mgh}{RT_0}\right)
  22. dbmorpher

    What is the Height of EM Radiation

    Hello, I have always wondered, what the relation of wavelength and frequency to the amplitude is. Is there an equation? Does it vary with different types of waves? Can it change?
  23. Sneakatone

    How to find speed with just height given?

    you are to design a roller coaster in which cars start from rest at a height h=26.0 m , roll down into a valley and then up a mountain. neglect friction. a) what is the speed of the cars at the bottom of the valley? B)if the passangers are to feel 8g at the bottom of the valley, what must...
  24. K

    Trying to find orbital velocity based off of height

    Homework Statement A Titan IV rocket has put your spacecraft in circular orbit around Earth at an altitude of 397 km. What is your orbital velocity? Give your answer in m/s.Homework Equations http://as370.socialhwk.com/engr370i/ch04/ch4_3/IMG00015.GIF...
  25. M

    Finding the height of a body through conservation of energy

    Homework Statement A 105 kg acrobat jumps up off a platform at a velocity of 2.50 m/s and lands on a teeter-totter 3.00 m below, where another acrobat is waiting. If the waiting acrobat has a mass of 62.5 kg, how high does she get? Homework Equations KE=(1/2)mv^2 PEg= mgh The...
  26. R

    Finding speed at half the height given initial velocity and mass

    In the figure, a frictionless roller coaster car of mass m = 800 kg tops the first hill with speed v0 = 18 m/s at height h = 44 m. What is the speed of the car at point B? (point B is one half the height of the top of the first hill) (1/2)mv2 Wg=mgd (1/2)(800)(182)=129600...
  27. Sneakatone

    I on finding seconds from maximum height.

    A human cannonball was fired from a cannon with a muzzle velocity of 107 km/h. The firing angle was 45 degrees from the horizontal Ive converted 107 km/h to 29.71 m/s 1.How many seconds did it take for the human cannonball to reach maximum height? 2.How high did he rise? h =...
  28. O

    Find Height of Ramp: H=1.0m, d=1.0m, θ=30°

    Hi guys! This is due tomorrow and I'm finally breaking down to ask for help in figuring it out. Homework Statement "A small block is placed at height h on a frictionless ramp, which is inclined by an angle θ from the horizontal. Upon release, the block slides down the ramp then falls a...
  29. Q

    Projectile Motion from a given height

    Homework Statement A baseball is bunted down the third base line leaving the bat from a height of .900m with initial v = 3.00 m/s at angle 20° above the horizontal. I calculated that x(range)= 1.72m t(total)=.61s vx=2.82 m/s vy=1.03 m/s -What is the speed of the ball before it hits the...
  30. Z

    Solving for the Height of a Rectangular Hyperbola

    Homework Statement An arch is the shape of a hyperbola. IF it s 300m wide at its base and has a maximum height of 100m, how high is the arch 30m from the end ? Note: this is a rectangular hyperbola. Homework Equations (y-h)^2 - x^2 = a The Attempt at a Solution I determined the...
  31. J

    Projectile Motion word problem from Calc III course (finding height of a wall).

    The problem is from the MIT Open CourseWare Calculus eBook by Strang. Chapter 12.2, #3: A ball is thrown at 60 degrees with initial velocity of 20m/sec to clear a wall 2m high. How far away is the wall? Finding flight time T, range R, and max height Y(max) is the easy part. How do I find...
  32. B

    Determing Height To Which A Projectile Will Rise

    Homework Statement At the Earth's surface, a projectile is launched straight up at a speed of 9.6 km/s. To what height will it rise? Ignore air resistance and the rotation of the Earth. Homework Equations Conservation of mechanical energy K_i + U_i = K_f + U_f The Attempt at a...
  33. M

    A ball is dropped twice off the same initial height. trial one bounces

    a ball is dropped twice off the same initial height. trial one bounces back with a velocity of 3m/s and trial 2 bounces back with a velocity of 2m/s. the time the ball is in contact with the ground for trial 1 is 0.01s. are the impulses on the ball the same for both trials or is it less in trial 2?
  34. L

    Finding geodesics on a cone of infinite height

    Homework Statement Find the geodesics on a cone of infinite height, x^{2}+y^{2} = \tan{\alpha}^{2}z^{2} using polar coordinates (x,y,z)=(r\cos{\psi},r\sin{\psi},z) with z=r\tan(\alpha) The Attempt at a Solution I am not sure with how should I expres the element dz^{2} ? When it is a...
  35. J

    Finding the Height of a Pot On the Y-Axis

    Homework Statement A cat spots a flowerpot that sails first up and then down past an open window. The post is in view for a total of 0.50 seconds, and the top-to-bottom height of the window is 2.00 m. How high above the window top does the flower pot go? Answer: 2.34 Homework Equations...
  36. N

    Rotating ball flies certain height in the air

    Homework Statement (answer is h * 5 /7) Homework Equations gravitational potential energy = mgh kinetic energy = 1/2 mv2 rotational kinetic energy of sphere = 2/5 mv2 The Attempt at a Solution The gravitation potential energy at the beginning at the top is the same as the kinetic...
  37. T

    Find Cliff Height | Physics Homework

    Homework Statement Suppose you are climbing in the high sierra when you suddenly find yourself at the edge of a fog shrouded cliff. To find the height of this cliff, you drop a rock from the top and 10 s later, hear the sound of it hitting the ground at the foot of the cliff. a) Ignoring air...
  38. B

    Pressure At Surface And Scale Height

    Please can someone tell me if my thinking here is right... I've got a planet with an atmospheric pressure at 6km of 0.5 P0 and at 8km of 0.4 P0 (P0 = pressure at the surface). I want to work out the scale height of the atmosphere. Given scale height = λ and for height above surface...
  39. E

    Height of the water in a rotating water pot

    1. A pot of 'm' water is rotating about Y axis with w angular velocity...Water is not compressible here... What's the height of the water? 2. Fc=m ω^2 r F=mg m/v=ρ=> 3. I solved the ques for rotation around X axis... Fc =mg From that I found out the h But then I found...
  40. S

    Finding the average height, z, of molecules in the box

    Homework Statement Let a box of height h be filled with classical ideal gas molecules of mass m in a constant gravitational filed g. As will be shown later, the distribution molecular height z obeys: f(z) = C exp (-mgz/KT) Where C is the normalization constant a) find the average height...
  41. A

    Trouble calculating a projectiles height after a certain distance

    trouble calculating a projectile's height after a certain distance Homework Statement A pebble is fired from a slingshot with a velocity of 30.0m/s. If it is fired at an angle of 30deg to the vertical, what height will it reach? If its fall is interrupted by a vertical wall 12m away, where...
  42. C

    Deriving equation for minimum height in projectile motion with two give me's

    deriving equation for minimum height in projectile motion with two give me's :) Homework Statement A ball is launched at a 45 degree angle and lands 152.4 m away. What is the maximum height the ball will reach during its flight. I Know the answer, what I need is to find a way to derive an...
  43. E

    Newton's second law - jumping from a height

    Homework Statement When jumping from a height on to a hard surface, it is advisable to bend one's knees on landing. How does bending the knees affect the time one takes to come to rest? (1 mark) With reference to Newton's second law, explain why it is a good idea to bend one's knees. (2...
  44. A

    Maximal Contraction & Height Reached by 2kg Mass on Spring

    A body with a mass of 2 kg is released from rest a height of 0.4m above the edge of a vertical rested spring with k= 1960 N/m. Assume there is no energy loss in the collision: 1. what's the maximal contraction of the spring? 2. to what height will the body reach back? about 2 - Because I...
  45. E

    Calculating height given pressures and temperatures

    Homework Statement On a certain day the barometric pressure at sea level is 30.1in.Hg, and the temperature is 70°F. The pressure gage in an airplane in flight indicates a pressure of 10.6psia, and the temperature gage shows the air temperature to be 46°F. Estimate as accurately as possible the...
  46. C

    Weightless Vacuum Container maximum height

    Assume you have a weightless constant volume container "filled with" vacuum. If you let it float in the atmosphere, how "high" would it go? I guess at some point Archimedes' principle should fail. What do you think?
  47. F

    Pellet colliding with hanging mass example. Having trouble finding height.

    A 1-kg pellet travels with velocity 280 m/s to the right when it collides with a 39-kg hanging mass which is initially at rest. After the collision, the pellet remains lodged in the hanging mass, i.e., it is a completely inelastic collision. The hanging mass (+pellet) then swings upward and...
  48. A

    Finding range and height of bullets when given velocity

    Homework Statement You are designing a firing range. The range will be 200 yards in length. You must build a backstop that is of sufficient height to contain the projectiles. There are .22 caliber long rifle ammo and .308 caliber center fire ammo used on the range. A shooter discharges a round...
  49. I

    Question about Velocity, time, height

    Homework Statement Q: An object thrown upwards at V0 reaches a maximum height of 100 m. a. Calculate the initial velocity of V0. b. Calculate the total flight time. c. Calculate the height of the object when v=30 m/s. Homework Equations That is my question what...
  50. C

    Height of oil of above water U cylinders

    An open U shaped tube is initially partially filled with water (ρ=1000 kg/m^3). A 10 cm high column of oil (ρ=800 kg/m^3) is poured into the right side of the tube. What is the height of the oil above the water? I set the water and oil equal to each other. (800)(10)(9.8)=(1000)(H)(9.8)...
Back
Top