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. B

    How does pendulum height relate to length when impacted by a bullet?

    Homework Statement Last year, I remember doing a ballistic pendulum problem, and this year I forgot how I did it. Essentially, what happens if you have a ballistic pendulum, of length 5m, and you shoot a bullet at it that cause it to go to a height of 14m? (What I mean is that the bullet...
  2. P

    Body thrown with v0 - find v0 that doubles prev max height

    Homework Statement A body is thrown into the air with an initial velocity of v0. What initial velocity is required to double the maximum height previously attained?Homework Equations The Attempt at a Solution I found the max height v02/64 at v0 by solving for 't' in the velocity equation when...
  3. L

    How Does the Square-Cube Law Limit Animal Size?

    I saw a MIT course on YouTube where the well know professor say that if I augment the height per 10 the strength augment by 100 (square) but the mass by 1000 (cube) so an animal would be 10 time relatively weaker if 10 time taller so he explain there is a limit to animal size because of this. He...
  4. S

    Calculating Maximum Pump Height for Given Flow Velocity | Pipe Friction Ignored

    Hi I have a pump which for 0 head will provide a max flow of 12 l/min (0.0002 m^3/s). For the piping I am using (3/8"), by my calculations this gives a theoretical MAX mass flow rate of 0.2 m/s and a MAX velocity of 2.8 m/s. As i understand it, these values are not taking into account (1)...
  5. D

    What is the minimum height of the bag needed for glucose infusion?

    Homework Statement A collapsible plastic bag contains a glucose solution. If the average gauge pressure in the vein is 15000 Pa, what must be the minimum height of the bag in order to infuse glucose into the vein? Assume that the specific gravity of the solution is 1.04. The acceleration of...
  6. S

    How Do You Calculate the Initial Height of a Block on a Frictionless Ramp?

    I need help! I have a 426g block on a frictionless ramp with initial height, h. The ramp curves, where the height is 2.6 meters before it flies off. I need to know the initial height, can someone please help? :smile:
  7. P

    Working out maximum height reached *thrown object*

    Homework Statement A ball thrown straight up in the air at a speed of 9.7 m s-1 How to work out it's maximum height before falling to earth? *No air resistance - gravity is 9.8 m s-2* Homework Equations No mass is given for the ball, so I'm a bit stuck with this. The Attempt at...
  8. D

    Ball falling. In view for .16 seconds. From what height did it fall?

    Homework Statement A ball falls from the top of a building. It falls past a window. It is in view for .16 seconds. The window is 1.7 m long. How high was the building off which it was dropped? Homework Equations I'm trying to use .5 a t^2 + vt + x but it's not working The...
  9. M

    Calculate Satellite Speed & Period at 400 km Height

    Homework Statement Estimate the speed of a satellite orbiting Earth at an height of 400km. Also determine the period of the orbit. Homework Equations Centripetal acceleration: F=\frac{mv^2}{r} Newton's Law of Universal gravitation: F=\frac{G(MassEarth)(MassSatellite)}{R^2} G =...
  10. I

    Calculus: Rates of Change of Cone: height and radius

    Homework Statement A water tank the shape of an inverted circular cone with a base radius of 2m and height of 4m. if water is being pumped into the tank at a rate of 2m^3/min, find the rate at which the water level is rising when the water is 3m deep. dv/dt = 2m^3/min h = 3m r = h/2...
  11. S

    Calculating the Minimum Safe Drop Height for a Bungee Jumper

    Homework Statement Our lab was to predict the distance a bungee jumper will fall before coming to rest. I already found the spring constant When we have the spring constant we had to find the minimum safe drop height for a bungee jumper before being stopped by the spring. The following...
  12. M

    Impact force exerted on a rolling wheel drop from a height

    Homework Statement [PLAIN]http://img87.imageshack.us/img87/9964/impactforceonbike.png A roller is rolling with a constant speed before and after the drop. How do i figure out the impact force exerted on the wheel when it just touch the floor from a height h? Assume, angular velocity...
  13. L

    Solving Clay Collision: Final Speed & Swing Height

    Homework Statement A 2kg. lump of clay traveling at a speed of 20m/s collides with and sticks to a 5kg. lump of clay initially at rest and hanging from a string. Find the final speed of the new lump of clay. How high will the clay swing after the collision? (initial) m1=2kg. v1=20m/s...
  14. B

    2 balls and the height of a building

    1. A person drops a ball from the top of a building; 1 second later, a second ball is thrown straight up from the bottom of the same building. The ball that is thrown upwards has just the necessary speed to just make it to the top of the building. As the balls pass each other, they have the...
  15. K

    Projectile angle of approach and height of target?

    Homework Statement For my lab, I need to calculate the height of the ring stands so the projectile can pass through them; as well as the angle the projectile will come at them. I have calculated/measured the following things: Muzzle Velocity: 4.11m/s Vix= 4.02m/s Viy= 0.85m/s Delta Y: 0.87...
  16. C

    How Do You Calculate Object Height in Lens Imaging?

    The image distance is 144cm, the object distance is 36cm, and the image height is -96cm. I need to find the object's height. hi / ho = -di / do -96 / ho = -144 / 36 But now I am unsure of how to bring the -96 over to the other side to have the object's height isolated. Please help?
  17. J

    What is the rate of change of the height of the top of the ladder?

    Homework Statement A 10' ladderis leaning against a house when its base starts to slide away By the time the base is 6' fromthe house, the base is moving away at a rate of 16 ft/sec a)What is the rate of change of the height of the top of the ladder? b)At what rate is the area of...
  18. G

    Roller coaster loop searching for Height

    Homework Statement A mass of 100kg is h meters high on a track that extends into a loop that has a radius of 20m. Assume track is frictionless. I need to find minimum height for the mass to make it around the loop without falling off or going backwards. Homework Equations Conservation...
  19. D

    Projectiles: Hitting x and y with initial height given.

    Hi, we can determine the velocity to hit x and y point with angle of projection given. but can we do the same if the initial height of projection is given?
  20. L

    Maximum height the Sun will reach

    Homework Statement The Sun is presently about 20 pc out of the midplane of the disk, and moving away from the midplane at about 7.4 km s−1. Using these as the current position, z(tnow), and velocity, vz(tnow), what is the maximum height zmax (in pc) the Sun will reach before turning around...
  21. L

    Finding Height of Thrown Ball: Speed and Time

    Homework Statement A ball is thrown straight upward and returns to the thrower’s hand after 1.54 s in the air. A second ball is thrown at an angle of 30.0◦ with the horizontal. The acceleration of gravity is 9.81 m/s2 . At what speed must the second ball be thrown so that it reaches the same...
  22. J

    How High Does the Lighter Ball Rise After Collision?

    Homework Statement Amplified Rebound Height Two small rubber balls are dropped from rest at a height h above a hard floor. When the balls are released, the lighter ball (with mass m) is directly above the heavier ball (with mass M). Assume the heavier ball reaches the floor first and bounces...
  23. M

    Calculate Change in Height Using Angle and Distance Traveled

    I'm trying to determine change in height using my angle that I determined to be 3.11 degrees and the distance traveled by cart which is 0.797 m. I multiplied 0.797 by Sin 3.11 to find the height but I have no idea if that is right. Any help would be appreciated since we didn't go through this in...
  24. I

    Ball dropped from heigh and bounces to height, change in momentum?

    A bouncy ball of mass 85.3 grams is dropped from a height of 13.17 meters. It rebound to a height of 5.12 meters. What was the change in momentum (in kgm/s) of the bouncy ball?
  25. B

    Determine the max height of the shell

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  26. I

    The maximum height an object on a wire moves after a collision

    Homework Statement A. 04 kg bead slides on a curved frictionless wire, starting from rest at point A. At point B, the bead collides elastically with a 0.6-kg ball at rest. Find the height that the ball moves up the wire. The answer is .96 m. Homework Equations m1v1i + m2v2i=m1v1f + m2v2f...
  27. E

    Finding tidal height difference using two wells

    Homework Statement Newton's model of the tidal height, using two wells dug to the center of Earth (one from the North pole, one from the equator on the side of Earth facing away from the Moon), used the fact that the pressure at the bottom of the two wells should be the same. Assume water is...
  28. B

    Maximum height of a projectile

    I need to calculate the maximum height above sea level of a projectile. I already have the values for the initial velocity, the angle and the time of flight, and I have the following equation to calculate the y-component of the displacement from the launch point: sy=uyt-1/2gt² But how do I...
  29. J

    Calculating Ball Speed and Maximum Height

    Homework Statement 1. A ball is thrown upward. After reaching a maximum height, it continues falling back toward Earth. On the way down, the ball is caught at the same height at which it was thrown upward. If the time (up and down) the ball remains in the air is 2.1 s, find its speed when it...
  30. N

    Discover Maximum Height of 2.40kg Object in Pulley System

    Two objects with masses 6.00 kg and 2.40 kg hang 0.500 m above the floor from the ends of a cord 5.30m mlong passing over a frictionless pulley. Both objects start from rest. Find the maximum height reached by the 2.40kg object.
  31. G

    Hat height from the ground will the child become airborne? picture included

    Homework Statement A poorly designed playground slide begins with a straight section and ends with a circular arc as shown in the figure below. [PLAIN]http://img716.imageshack.us/img716/8381/25746193.jpg A child starts at point P and slides down both sections of the slide. At some point on...
  32. Q

    Maximizing the height of a bullet in cylindrical coordinates

    Homework Statement A gun can fire shells in any direction with the same speed v0. Ignoring air resistance and using cylindrical polar coordinates with the gun at the origin and z measure vertically up, show that the gun can hit any object inside the surface z = \frac{v_{0}^{2}}{2g} -...
  33. Z

    Deriving Formula for Radius of Conical Section at Height h

    Homework Statement Suppose there is a Conical section (of a right circular cone) of total height 'l' and radii 'a' and 'b' (a>b). How do we derive the formula for the radius at a height 'h' (h<l) ?Homework Equations The Attempt at a Solution
  34. P

    What Is the Maximum Height of a Ball Thrown at 20m/s and 30 Degrees for 3.0s?

    1. A ball is thrown with a velocity of 20m/s at an angle of 30 degrees and travels 3.0s before hitting the ground. What is the maximum height of the ball? 2. I really am new to physics and have am not sure about the relevant equation. I do want to learn and don't want my work done for me...
  35. E

    Does a photon have a width and height ?

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  36. D

    Calculating Height of a Mountain: Is It Possible?

    I apologize if this problem is more of a math- than a physics problem. At least it is applicable in real life :) You are standing on some mountain and in your view are two other mountains, A and B. Also you can see the ocean as a referance zero point. The height of both mountains A and B are...
  37. A

    Find the height of an object when a bungee cord stops it

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  38. D

    Height equation in a weird way.

    Homework Statement A hot air balloonist forgot to calibrate his altimeter before taking off. The altimeter displays his height as A*h (A being a constant multiplcator, and h is his real height). He does not know A, nor does he know the speed of sound. How can he find his height with just two...
  39. T

    Building Height Calculated - Thanks Thaakisfox!

    Problem solved! Thanks again Thaakisfox! Homework Statement A ball thrown horizontally at 2.2 m/s from the roof of a building lands 36 m from the base of the building. Calculate the height of the building. Vox = 2.2 m/s Xo = 0m Vx = 0 m/s X = 36m Homework Equations y = Vosin ao - (0.5)(g)(t^2)...
  40. M

    Solving a Simple Height Problem for a Home Run in Baseball | 120m Distance

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  41. J

    Firefighter's Water Stream Strike Height Calculation

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  42. C

    A rock of mass 0.19 kg falls from rest from a height of 15 m into a pail containing

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  43. B

    Solving for Cliff Height: An Alert Hiker's Task

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  44. S

    A flea jumps 140times their height, what is their height?

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  45. P

    Max Height for Steel Wire: .5kg Object

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  46. D

    Horizontal Range and Maximum Height of a Projectile

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  47. S

    Express Max height in terms of g and T? ?

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  48. U

    What Are the Unknowns in This Free Fall Ball Problem?

    Homework Statement A ball is thrown upward in such a way that its speed is 32.3 m/s when it is at half its maximum height. Find (a) its maximum height, (b) its velocity 2.0 s after it's thrown, (c) its height 2.0 s after it's thrown, and (d) its acceleration at its maximum height...
  49. T

    Height at which two balls collide traveling opposite direcitons

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