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. C

    What is the Correct Method for Finding Height Using Geometry?

    << Mentor Note -- 2 threads merged >> 1. Homework Statement I need help with question 43 it is attached as an attachment Homework Equations #a^2+b^2=c^2# Sin(a)/A=sin(b)/B The Attempt at a Solution Well if I draw a line from the left corner of the bown down to the water it forms a right...
  2. A

    How can I know my final height?

    Hi, friends I have heard that I can through x_ray know my final height or something like that. I am 18 years and 8 months old with nearly 175cm height. Don't tell me I am done because I have heard about a lot of cases of height growth after 18. I would be satisfied with 180 . I don't know but...
  3. R

    Viewing Particle P in a Cylindrical Vessel - 40 cm Height Needed

    I1. Homework Statement A cylindrical vessel whose diameter and height both are equal to 30 cm is placed on a horizontal surface and a small particle p is placed in it at a distance of 5 cm from the centre. An eye is placed at a position such that the edge of the bottom is in the plane of...
  4. H

    MHB Triangle: calculate angle between raised height and angle follower

    One sharp corner of a right-angled triangle is 50º. Calculate the angle between the raised height and the angle follower at right angles. So I know that the angles are 90º, 50º and 40º. How do I find the angle between the raised height and angle follower?
  5. Avimanyu Ray

    Pressure not matching at same height in a U-tube

    Can we please look at the following attached file image? It shows a utube filled with a little water and the rest is oil. Thus, the height of oil in one arm will be more than the height of water in the other. When we compare the pressure at the height of the surface of water with that...
  6. J

    I need the Force/Energy/Whatever for a person jumping

    I'm trying to calculate how much Force/Energy or whatever or measure that in for a person who weighs 90 kg (Like 198 lbs. Or something) to jump 20 yards in the air. This is for a different world, so the gravity is 8.1332 m/s, as apposed to 9.807 m/s for Earth. Please help, I know 20 yards is a...
  7. A

    Calculating Initial Height of a Falling Safe on a Spring

    Homework Statement A safe (mass = 1.00*10^3 kg) is suspended a height (d) above the top end of the spring (spring constant = 27800 N/m). The rope holding the safe breaks and the safe falls, compressing the spring a total distance of 1.80 m. What is the initial height (d) of the safe when it...
  8. S

    Two elastic ropes, Acceleration and Height Problem

    Homework Statement As on the paper below: Homework Equations Suvat? The Attempt at a Solution As on my paper a) I think I got the acceleration correct by measuring the angle, halving the angle to get the force upwards by each rope. Or is that the wrong answer? b) Should be half as it’s...
  9. K

    Pressure at same height in same fluid?

    Homework Statement A sealed has a partition stuck down in water, creating two separate air pockets. The pressure at A is measured to 95 kPa (absolute) and the temperature is 20 C. Find the pressure at B. The Attempt at a Solution Why is the pressure at A not equal to B? Doing U-tube exercises...
  10. harambe

    What Is the Maximum Angle Attained by a Particle Projected from Earth?

    Homework Statement A particle is projeccted from the surface of the Earth with an initial speed of 4km/s.Find the maximum angle attained by the particle.Radius of the earth=6400km and g=9.8m/s2 Homework Equations KE1+U1=KE2+U2 [/B]The Attempt at a Solution So I tried to proceed by this...
  11. E

    Finding the change in weight from the force & difference in height (y)

    Information Given:In 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Question: Ignoring Earth's rotation, find the change in your weight if you were to ride an elevator from the street level, where you weigh 708...
  12. isukatphysics69

    Find height of ball rotating in cone without falling down?

    Homework Statement Homework Equations f=ma v^2/r The Attempt at a Solution I am confused about this question because i am not given an angle theta for the normal force on the ball. My x component has only the normal force, my y component has only the gravitational force. I set my y...
  13. M_Abubakr

    Using Pressure and Temperature differences to find height

    Homework Statement At the top of a mountain the temperature is -5 degree C and a mercury barometer reads 566 mm, whereas the reading at the foot of the mountain is 749 mm. Homework Equations Assuming a temperature lapse rate of 0.0065 K/m and R = 287 J/kg K, calculate the height of the...
  14. T

    Is there a relationship between acceleration and jump height

    Homework Statement Is there a relationship between head acceleration and jump height say for a 5 foot 2 inches boy weighing 120 lb? Homework EquationsThe Attempt at a Solution I think there is a relationship between body acceleration into the floor before jumping, but wondering if there is...
  15. Lukeblackhill

    Ceiling height for a game of Catch

    Dear Mates, I was studying Newton's Laws of Motion by Berkeley's Physics Course, Vol. 1 - Chap. 3, when I came across this problem, about finding the maximum separation of the boys. In my mind, it was simply about finding the "2x", considering x to be the distance between the first boy and the...
  16. lc99

    Solving for Height: P1 = P2 Equation

    Homework Statement Homework EquationsThe Attempt at a Solution Why is this wrong? -- P1 = 1000 (1% of atm) P1 = P2[/B] 99000 = 101300 + pgh 99000-101300 = pgh solving for h, h = 0.1 m
  17. S

    Relationship between Launch height and range of a projectile

    Homework Statement In a practical that we conducted, we were investigating the relationship between Launch height and the range (horizontal distance it travels) of a projectile. We launched a projectile from various heights and measured the horizontal range it traveled before reaching the...
  18. S

    B Relationship between launch height and range

    In a projectile motion practical, we had to investigate the relationship between launch of projectile and the range it travels. Increasing the height will obviously increase the range. However, we are trying to understand why it does in a more scientific way. We already know that increasing...
  19. J

    Calculating Height of Thrown Object w/ Changing Deceleration g

    Good day, I have a question regarding calculating the total reached height ##H## of an object that is thrown upwards with an initial velocity ##v_i##, while taking into account the decreasing gravitational deceleration ##g## with height as well.The formula would be something like: $$v_i \cdot t...
  20. H

    MHB Changing height in tank depending on time

    Hi, I have a mixing tank with 2 inputs and 1 output The volume in the tank is not constant The cross section area is constant How can I build a mathematical formula for changing high h in the tank depending on the time? I have done this: (V/dt)in − (V/dt)out =A*d(h)/dt
  21. vcm1992

    Find Initial Velocity Given Height, Range, and Initial Angle

    Homework Statement So! The problem states that a grasshopper jumps from the edge of a table. We know that x-initial is zero and x-final is 1.06m. This is how far he jumped from the origin. The height of the table is unknown, but we know that the height of the grasshoppers jump with respect...
  22. H

    Rubber strings pulled and realeased -- find the max height

    Homework Statement Homework EquationsThe Attempt at a Solution I tried to find constant k f = k ##\Delta##x 1/2 * 9,8 = k * 0,1 k = 49 N/m is rubber string the same as spring? Ep + EK at 0,1 meter = Ek + EP at 0,3 m 1/2 k x^2 + 0 = 1/2 k x^2 + 1/2 mv^2 v^2 = 2*49(0,08) v = 7*0,4 = 2,8...
  23. srfriggen

    I Find Lowest Rung to Drop Bottles & Prevent Breakage - Problem Solving

    Preface: This is a question we are working on in a course called "Problem Solving." I am not looking for an answer, but only some clarity on how to phrase my answer. The question is as follows: You have a ladder with 100 rungs and two bottles. From some unknown height above a certain rung the...
  24. H

    Find the time when the spring reaches its max height

    Homework Statement Homework Equations f = Spring's constant * ##\Delta x## Potential Energy = ##\frac{1}{2} kx^2## The Attempt at a Solution I try to find constant of the springs Fabove + Fbelow - W = 0 k*(0,2 m) + k*(0,2m) - ##\frac{1}{2}## * 9,8 = 0 0,4k = 4,9 k = 12,25 N/m can I use...
  25. Richie Smash

    Calculate the height of a water column and expressions for P

    Homework Statement The apparatus shown may be used to determine the density of an unknown liquid X. The tube has a uniform cross section and the height of the water column is twice that of Liquid X. A and B are the same horizontal level. The pressure difference between points A and C is...
  26. Phil123

    [LENS] Given focal length and height, find object distance

    Homework Statement An object is in front of a convex mirror. We then obtain an erect image whose height is equal to 25% of the height of the object. What is the distance between the object and the mirror if we know that the focal distance is equal to 0.2m? Homework Equations M = Yi/Yo = q/p...
  27. Robin04

    Find the Value of k: Ball's Momentum and Height

    Homework Statement We release a ball from a height h and it bounces for a time t. What is the value of k (the quotient of the ball's momentum before and after collision with the ground)? Homework EquationsThe Attempt at a Solution I'm kind of lost here. :/ [/B]
  28. Dami121

    What variables affect the height of a Heron's fountain?

    Homework Statement I have this homework on how a Heron's fountain works. The exact assigment is as follows: "Construct a Heron's fountain and explain what (which variables) influences the height of the fountain." I've already constructed it and it works well, but I'm not so sure about the...
  29. T

    Pump pressure and static height in central heating

    I was told recently that in a central heating system, the pressure on the suction side of the circulation pump should be at least equal to the static height of the system. I've never heard this stated before, and I don't intuitively get why this should be the case. If there is actually something...
  30. artworkmonkey

    Height above the Galactic Plane

    Homework Statement At what height above the Galactic plane are there the same amount of thin and thick disk stars. Information given: 1) Thin-to-thick disk star counts is 15-to-1 (by volume density) 2) The scale height of the thin disk is 0.3kpc 3) The scale height of the thick disk is...
  31. R

    Projectile motion above ground given only angle and height

    Homework Statement I'm having trouble with part A of this question 1. A ball is fired out at an angle of 30° from the platform of height h = 0.5 m as shown in Figure 1. It is subjected to the gravitational force only thus follows a projectile motion. It falls onto the ground after 0.6...
  32. N

    Height of the image of Jupiter created by the objective lens

    Homework Statement I have the following variables: f = .93 m f(e) (eyepiece) = .0082 m distance toJupiter pj = 588 E^9 diameter of Jupiter dj = 139822 E^3 Find the height of the image of Jupiter created by the objective lens of a telescope. Homework Equations M = -q/p q = f Where M is the...
  33. CAT 2

    Maximum height of a spring toy launched at an angle

    Homework Statement A spring toy is launched from the ground at 2.3 m/s at an angle of 78° to the ground. What is the maximum height reached by the spring toy? Homework Equations Δt = 2(V1)Sinθ/(acceleration) ΔD = V1Δt + 1/2(acceleration)(Δt^2) The Attempt at a Solution First I solved for...
  34. S

    Height of edge of billiard table

    Homework Statement Consider a billiard table with balls of radius r. How high should be the edge of the table to not allow undesirable pressures (and thus slips of the ball)? I.e. if there was no gravity, the billiard ball would still bounce off parallelly to the table plane. However I do not...
  35. F

    B What's the relationship between drop height and induced emf?

    In my experiment, I intended to find out how the change in the bar magnet drop height from solenoid affected the emf induced in the solenoid, however, I am unable to come up with an equation that shows a relationship between the two variables. I have thought of Biot-Savart law, but I do not...
  36. N

    Flowmetry: find height of fluid in cylinder

    Homework Statement A cylinder with varying diameters is being filled and emptied at the same time. The time is measured. I know Flow rate into cylinder. How do I find the height of fluid in the cylinder at a particular time? The diameter of the hole is 0.005m. The diameter of the bottom of the...
  37. Jamie_Pi

    Starting height of marble rolling around a loop the loop

    Homework Statement The marble rolls down a track and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off? (Use any variable or symbol stated above along with the...
  38. F

    Height of an island beyond the horizon

    Homework Statement If I am standing on the ocean shore, and my eye level is 6 feet above sea level, how far above the horizon would an island appear that is 15 miles away and whose highest point is 200 feet above sea level (assuming the earth’s diameter is 3,960 miles?) In other words, how many...
  39. EastWindBreaks

    Why is the height of point 2 same as point 3?

    Homework Statement Homework Equations The Attempt at a Solution Is it an assumption because the difference in height is small?
  40. J

    Calculating Water Rocket Height from Hangtime | Formula and Explanation

    Homework Statement We are doing water rockets and I don't know how to calculate the height it went from it's hang time. It's total hang time was 7.35 seconds, and I know it's vertical acceleration was -9.8m/s^2 from gravity, and I'm assuming I need to first find out it's initial velocity, since...
  41. M

    Proving the equation for the height of a cylinder

    Homework Statement Consider a sphere of radius A from which a central cylinder of radius a (where 0 < a < A ) has been removed. Write down a double or a triple integral (your choice) for the volume of this band, evaluate the integral, and show that the volume depends only upon the height of the...
  42. Y

    Fire Hose Power Output, Given Height and Radius of Hose

    Homework Statement A fire hose for use in urban areas must be able to shoot a stream of water to a maximum height of 34 m. The water leaves the hose at ground level in a circular stream 4.0 cm in diameter. What minimum power is required to create such a stream of water? Every cubic meter of...
  43. C

    Maximum height from which a cuboid can fall and not be damaged

    1. Cuboid of height h is made out of material with density ρ=1000kg/m3 and it can endure highest pressure of σ=90kPa.Cuboid is falling from the height H. When the cuboid hits the ground its centre of mass is at the height h/2.Then starts deformation of the body. During the deformation centre of...
  44. S

    Calculating Height of a Twice-Daily Orbit Above Earth's Surface

    Homework Statement The question is: A top secret spy satellite is designed to orbit the Earth twice each day (i.e, twice as fast as the Earth's rotation). What is the height of this orbit above the Earth's surface? Circumference of orbit not given. Mass not given. Centripetal force is not...
  45. C

    What is the Height of the International Space Station Above the Earth's Surface?

    Homework Statement The International Space Station, launched in 1998, makes 15.65 revolutions around the Earth each day in a circular orbit. Find the height of the space station (in kilometers) above the earth’s surface. Homework Equations T = (2*pi*r) / v r - radius, distance between center...
  46. V

    I I , been a while -- density of a liquid, the density of a solid, and a height....

    It has been a long time since I have worked with this and I need help just starting out. The problem involves the density of a liquid, the density of a solid, and the height where the solid will be released in the liquid, gravitational force, and the time it takes to reach the top of the...
  47. H

    Maximum height reached by object released from a vertical spring

    Mentor Note: thread moved, therefore no template A mass m is placed on a vertical spring and allowed to reach equilibrium, whose level is ##e_0## below the original level of the spring before placing the mass. It is then pushed downwards such that it is now a distance ##x_0## below the...
  48. Y

    What is the height and kinetic energy lost in a projectile-block collision?

    Homework Statement A projectile traveling vertically strikes a block and stays in it. The mass of the projectile is 0.20kg and its speed is 3.0m/s at the instant of impact. The mass of the block is 1.3kg. Air resistance may be neglected. (a) How high does the block rise? (b) How much kinetic...
  49. 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)...
  50. 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...
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