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. Frankenstein19

    Finding Tower 2 Height to Achieve 3x Velocity

    Homework Statement (I don't remember the EXACT problem because it was in an exam I took a few days ago but it was something like: If we drop the same object off of two towers, what does the height of Tower2 need to be if we want the object to fall is a velocity 3 times greater than the object...
  2. Said Ahmad

    Calculating Passing Height of Two Thrown Balls

    Homework Statement Ball A is thrown vertically by speed 40 m/s. After 1 second, Ball B is thrown vertically also by speed 47.5 m/s. What height from ground will they pass each other? ( g = 10m/s2 ) Homework Equations s = vt + ½at2 t = v/g v2 = v02 + 2asThe Attempt at a Solution Time A to...
  3. S

    I Effects of lug height on final gear ratio for a snowmobile....

    So, great site. I have a quick question that I think has a simple answer. On a snowmobile forum I visit there has an ongoing debate. The question is, all other factors being the same, does changing the lug height on a track, change the final drive ratio of the snowmobile? I think I know the...
  4. A

    Collisions Impulse; Balls dropped from same height.

    Homework Statement Two balls with the same mass are dropped from the same height. After colliding with the ground, one of the balls "A" bounces higher than the other ball "B." Neglect air resistance. Is mechanical energy conserved ? Are they subjected to the same impulse after colliding with...
  5. tink7718

    Initial height of a bouncing ball and energy lost

    I am doing a lab in my senior physics class (IB HL Physics 3-4) and I am very confused about a relationship that I found. For my experiment I dropped a racquetball from different heights and then used video analysis to find the height of the ball on its final bounce. I used this data to...
  6. Monoxdifly

    MHB [ASK] Height of an Icosahedron

    In the icosahedron above, what is the proper way of determining the length of PP'? My workmate thinks that it is twice the length of P to the midpoint of E'C' plus E'A, since she thinks that (and it does look) ACC'E' is a rectangle. However, I think that E'A must not be the height of the...
  7. H

    Pulleys, displacement by vertical height

    Homework Statement (see attached diagram) Homework Equations (see attached diagram) The Attempt at a Solution I drew a diagram.What I know. Left part of rope is fixed to ceiling so extra rope comes 'from the right' i.e. 'falls down' as pulley is pulled. I also know that rope is conserved.
  8. F

    Why does z1 equal z2 if position 2 is higher than position 1?

    Homework Statement why z1=z2 ? isn't the position 2 is higher than position 1 ? Homework EquationsThe Attempt at a Solution
  9. P

    What spring constant would I need to jump my height

    In my springs what would the spring constant need to be If I am 1.8m tall and I weigh 68 kg
  10. N

    MHB Computing height given shadow length and angle of elevation

    Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan(angleElevation) = treeHeight / shadowLength. Given the shadow length and angle of elevation, compute the tree height. #include <iostream> #include <cmath> using namespace...
  11. G

    Height and freefalling question

    There was a problem with other physics homework section so I just decided to write here. Homework Statement H= 270m t1= 2.45s t3=7.35 V0=0 (freefall) t=7.35s t2= 4.90s g=10 We had to calculate the height what the body will be after 2.45, 4.90 and 7.35 s. Homework...
  12. chwala

    Differential equation tree height

    1. Homework Statement A tree is planted as a seedling of negligible height. The rate of increase of its height , in metres per year is given by ##0.2√(25-h)## a. explain why tree can't exceed 25 metres. answer⇒ ##dh/dt=0## when h=25 b. express t as a function of h answer⇒...
  13. G

    Help Me Hill Height for 35kg Child on 5kg Sled

    Homework Statement A 35-kg child goes down a hill on a 5-kg sled. Starting from rest, she reaches a speed of 30 km/h at the bottom of the hill. The hill makes an angle of 25 degrees with the horizontal. (a) Assuming there is no heat generated by friction and air resistance, how high is the...
  14. F

    Is I/V Submerged a Valid Formula for Calculating Metacentric Height?

    Homework Statement is I/ V ( in the second picture)submerged is a valid formula of metacentric height ? i have never seen this in my textbook . This is just another notes given by my senior. Homework EquationsThe Attempt at a Solution
  15. K

    Acceleration of object at specific height?

    This stuff is so confusing! I really wish I were better at math... I had to take precalc math twice, so please try and dumb this down for me. 1. Homework Statement Communication satellites orbit the Earth at a height of 35700km above the Earth's surface. What is the acceleration of an object...
  16. vinamas

    How to Calculate the Height a Helium Balloon Ascends Using Mass and Density

    Homework Statement A heluim filled spherical balloon with a radius of 40 cm got tied into a uniform thread (uniform density) the threads length is 2 meters and its mass is 50 g the balloon ascends when left and ascends a the thread for h meters before it stabalizes again given the empty...
  17. K

    Calculating the height of a geostationary satellite of Earth

    Homework Statement Calculate the height of a geo-stationary satellite of earth. Gravitational force of earth=6.667 x 10^-11 nm^2/kgm^2 Mass of earth=6x10^24 kgm Radius of earth=6400 km V=86400 Homework Equations GM/r=v^2 r=R+h The Attempt at a Solution I plugged everything into the equation...
  18. K

    Average height of molecules in a box as a function of temperature

    Homework Statement A circular cylinder of height H is filled with monatomic gas molecules at temperature T. The cylinder stands on the surface of the Earth so that the gas molecules are subject to the gravitational field g. (a) Find the average height, z , of the molecules in the cylinder as...
  19. Jonathan Densil

    Height to time equation: water cylinder with pinhole

    Hi guys, I was just doing an experiment with relating the weight flow rate of water out of cylinder with a pin hole at the bottom. The equation that I put together was: $$\dot{W}=\rho g C_d A \sqrt{2gh}$$ ##\dot{W}## is the weight flow rate, ##\rho## is the density of water, ##g## is the...
  20. x2017

    Find Coefficient of Restitution with just height of the ball after one bounce

    Homework Statement A ball is dropped from a height of 9.02 m. After hitting the ground, the ball then rebounds to a height of 1.78 m. What is the coefficient of restitution associated with the ball and ground impact? Homework Equations e=(V'-v')/(V-v) The Attempt at a Solution I thought maybe...
  21. B

    Find angle with given distance and height

    Homework Statement You have a device that shoots an object at an angle, on top of a desk. You have x,y and v solve for the angle. Origin is at the top of the desk. Homework Equations y=vyot+(½)ayt2 x = vxot vsinΘ = vyo vcosΘ = vxo The Attempt at a Solution y= vsinΘt + (1/2)at^2 x = vcosΘt →...
  22. T

    Maximum height water can be projected onto a wall

    Homework Statement H3-1 Determine the maximum height on the wall to which the firefighter can project water from the hose if the speed of the water at the nozzle is 20 m/s. The firefighter stands 18 m away from the wall and holds the nozzle 1.2 m above the ground. Homework Equations The...
  23. F

    Escape Velocity = Freefall from Height of One Radius?

    I was doing some calculations using the escape velocities from Earth, Moon and Mars. Then by chance I calculated the velocities attained when an object was "dropped" from a height of the radius on each of these bodies, assuming the acceleration due to gravity remained constant during the fall...
  24. A

    MHB Working with time and dropping from a specified height

    hello there! I've been working on math for a while, and on y math homework there's a specific question that i just don't know of the correct formula to solve it. i can do algebra quite well, i just can't recall what this specific formula may be. here is my question: A construction worker is...
  25. T

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  26. RoboNerd

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    Homework Statement A 20.0-kg block is connected to a 30.0-kg block by a string that passes over a light frictionless pulley. The 30.0-kg block is connected to a spring that has negligible mass and a force constant of 250 N/m. The spring is unstretched when the system is as shown in the figure...
  27. J

    How to find initial velocity with height, distance and angle

    Homework Statement We need to fin the initial velocity of a water fountain. The data I have collected is: Height (bottom to apex)= 0.042 m Distance (from spout to end on the stream)= 0.112 m Time (it takes to travel)= .25 seconds Angle the water shoots from= 50 degrees Here is more if it...
  28. B

    Height of Mercury in a pipe after removing it from a tub

    Homework Statement We have a pipe open at both ends and having the length of 1 meter. After putting it into a tub of Mercury and thus filling it to the half, we close the upper end of it, and then remove it from the tub. What is the height of the residual column of the Mercury in the pipe...
  29. L

    MHB Formulas for Triangle Perimeter & Height

    Write the following formulas: a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b. b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.
  30. jbm1939

    Ball dropped out a truck window, find bounce height and dist

    Homework Statement A ball weighing 0.2 lbs is dropped out the window of a pickup truck moving horizontally at 45 mph. If the C.O.R. (e) between the ball and the ground is equal to 0.6, find the height of the ball's first bounce and the horizontal distance it will travel before bouncing again...
  31. Matthew117

    Finding the rock's theoretical maximum height.

    Hello everyone. So I have this one question which I thought was going to be pretty easy, but now I struggle with it. It says: 1. The question A rock is thrown vertically up in the air with an initial velocity of 0.75ms-1. What would the rock's maximum theoretical height be? I am currently in...
  32. J

    Maximum height of CM of a rotating stick

    Homework Statement [/B] A uniform stick is held horizontally and then released. At the same instant, one end is struck with a quick upwards blow. If the stick ends up horizontal when it returns to its original height, what are the possible values for the maximum height to which the center...
  33. oMattz

    Modelling the height of a block up a slope with time

    1. Homework Statement A block, of mass M1, on the rough slope shown is attached to another mass M2 by a light, inextensible string which passes over a frictionless pulley as shown in the diagram (the coefficient of friction between the block and the slope is u ). The block is released from...
  34. P

    Find the height and the velocity of the object

    Homework Statement A bolt is detached from the lower part of an elevator cabin that is ascending with velocity 6meters/second and for 3 seconds comes to the point from where the elevator started to ascend. Find: in which height is the end of the elevator in the moment when from it the bolt was...
  35. C

    Linear Motion Question: Ball thrown in the air

    A ball is thrown upwards from a building of height 2x with an initial velocity of v1. The velocity when it hits the ground is -v2. What is the height of the ball when it is at maximum speed? Since it is at its max speed when it hits the ground, would the answer just be 0x?
  36. O

    Projectile Motion: Finding the Maximum Height of a Football

    A football is kicked from a tee to start the football game. If the ball is kicked at a 38 degree angle with an initial velocity of 27.1 m/s, Find the maximum height of the football as it flies through the air. I was using these equations: Voy = Vo(sine of theta) Vy = Voy + at y = 1/2(a)(t^2)...
  37. C

    Velocity of boat connected by a pulley fixed at some height

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  38. I

    Why does height affect the amount of damage an object does?

    If I were to drop a penny from empire state building it would do more damage than if i dropped it from standing distance. Why? F=MA. neither the penny's acceleration nor mass change when its falling so the forces on both pennies should be the same. The only solution i could come up with is that...
  39. L

    Skating ramp, only height given. Kinematic equations.

    Homework Statement A skater jumps off a quarterpipe ramp and reaches 5m over the ramp. We can assume that he jumps in a vertical line. Find the speed the skater had before jumping off the ramp. Homework Equations https://www.physicsforums.com/threads/introductory-physics-formulary.110015/ All...
  40. T

    Height of Pendulum Homework: A&B Answered, C&D Yet to Solve

    Homework Statement In the two-sphere arrangement of Figure, assume that sphere 1 has a mass of 51 g and an initial height of 10 cm, and that sphere 2 has a mass of 82 g. After sphere 1 is released and collides elastically with sphere 2, what height is reached by (a) sphere 1 and (b) sphere 2...
  41. R

    Height limitation for natural circulation thermosiphon

    Suppose I have an overhead tank that heats hot water by natural circulation via a thermosiphon (& a Heat Exchanger with some source of waste heat), is there a limitation on how tall this loop can be? e.g. Can there be an elevated tank at 30 feet with a heat exchanger at ground level that heats...
  42. astrocytosis

    Finding the height of a fall given force on impact

    Homework Statement This is the second part of a two part question. The first part asked for the maximum force that can be applied to a bone with minimum cross-sectional area is 3.0cm2, Young's modulus 1.4 × 1010 N/m2, and can withstand a 1.0% change in length before fracturing. I calculated it...
  43. J

    Trajectory - different start and end height, limited knowns

    Homework Statement A projectile is fired from a cannon at X-distance of 25m (X=25), height 10m (y=10), and fixed angle (53-degrees). After 3 seconds, the projectile hits its mark at different height 50m (y=50), and at a range of 175m (X=200). Gravity is normal and there is no wind resistance...
  44. R

    Find height, range and time of flight for projectile motion

    Homework Statement Homework Equations kinematics. a=F/m The Attempt at a Solution 100cos(70)=342 100sin(70)=393.7 X=1/2(-9.8)t^2+100t; t=0. t=20.4
  45. D

    How long does it take a football to reach max height?

    Homework Statement how long does it take a football, with an initial velocity of 30 m/s at 30 degrees up from the horizontal, to reach the top of its flight? Homework Equations Δy= ½ (Vf + Vo) t The Attempt at a Solution I know that Vf= 0 m/s here because when it reaches the highest point, it...
  46. Ryan_m_b

    Maximum height of ball with changing acceleration

    I put basic on this because my maths skills are exactly that and I suspect the answer to this question will be fairly maths heavy. I understand that the equation to calculate the maximum height of a projectile (ignoring wind resistance) is Hmax = (Vf2 - Vi2)/2a But this only works over small...
  47. Arlan

    Calculating Rebound Height for a Ball Colliding with Steel Plate

    Question: The coefficient of restitution for ball colliding with steel is 0.95. If ball is dropped from height h sub o above steel plate, to what height will the ball rebound? Please help me with this one, Is there a formula for this? all I know is e equals velocity of the first object...
  48. hawkeye1029

    What is the Launch Angle of a Projectile at Half Its Maximum Height?

    Homework Statement At 0.5 of its maximum height, the speed of a projectile is 0.75 of its initial speed. What was its launch angle? Homework Equations Not sure here, but: v^2 - vo^2 = 2as [maximum height] Ay = Asin(theta) [y-component] The Attempt at a Solution I didn't get very far...
  49. moenste

    Vertical movement: velocity / time graph, height estimation

    Homework Statement A ball is thrown vertically upwards and caught by the thrower on its return. Sketch a graph of velocity (taking the upward direction as positive) against time for he whole of its motion, neglecting air resistance. How, from such a graph, would you obtain an estimate of the...
  50. J

    Calc Air Pressure in Tank with Fluid Level & Height

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