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
  1. J

    Calculate Muzzle Velocity: Angle, Height, Horizontal Displacement

    I need help with my hw, bad. I've been screwing off in my physics class for awhile and I can't get afterschool help because I have sports. I need to pick my grade up in this class to keep playing...so here I am. I need a good walkthrough badly, i don't know a whole lot with physics, but a decent...
  2. N

    Determine the max height for which there is no slipping

    Homework Statement The rectangular steel yoke is used to prevent slippage between the two boards under tensile loads P. If the coefficients of static friction between the yoke and the board surfaces and between the boards are all 0.25, determine the maximum value of h for which there is no...
  3. S

    Calculating Tree Height with a 5cm Mirror

    Homework Statement A 5cm mirror is just large enough to show the whole image of a tree when held 20 cm from the eye of the observer whose distance to the tree is 100 m. What is the height of tree? Homework Equations n/a The Attempt at a Solution n/a
  4. R

    Newton's Cradle Elastic Collisions: Solving for Ball Height with Varying Masses

    Homework Statement Three small identical steel balls A,B and C are suspended by vertical threads of equal length from a horizontal support, with centres in a horizontal line and separated by a small gap. A is raised by a height 'h', with the thread taut, and released. All subsequent collisions...
  5. Julio Cesar

    Calculate the height from the speed of sound

    Homework Statement You drop a stone down a well. You hear the 'splash' 1.63s later. How deep is the well? The speed of sound in air is 343m/s. Homework Equations Kinematic equation: Δh=V0t+1/2gt2 Also, I've narrowed the problem down to the total time of 1.63s is equal to... 1) the...
  6. A

    Need help deriving the general maximum height equation

    Homework Statement You need to derive the general maximum height equation for projectile motion. This equation allows you to calculate the maximum height a projectile reaches or could reach during its motion. Like other such equations we derived in this unit, this one is also very short and...
  7. P

    Straw sucking height calculation

    How high can one suck water up a straw ? Is this analysis and calculation correct ? ================ Straw sucking height limit calculation Sucking up thru a straw from a height ...limit h = ? m If the pressure P [=F/A] , the work done to lift the water column to h is W = F dot s = PA x...
  8. 9

    What is the Maximum Height of a Pendulum with Given Initial Conditions?

    I'm trying to solve this problem via Lagrangian mechanics, but I'm having trouble correctly formulating the problem, I'm hoping one of you kindly people can show me where I'm going wrong. A pendulum bob of mass m hangs in the equilibrium position from a light, inextensible string of length l...
  9. N

    Momentum - velocity due to height

    Homework Statement A 0.20 kg ball is thrown straight up into the air with an initial speed of 19 m/s. Find the momentum of the ball at the following locations. (a) at its maximum height (b) halfway to its maximum height Variable: ball = .2kg Vi = 19 m/s Homework Equations...
  10. J

    Sound attenuation barrier height (trigonometry)

    Homework Statement http://img543.imageshack.us/img543/4598/photosfr.jpg Find dss, dsr and thus hs. Homework Equations trig The Attempt at a Solution dss = hs/(sin[θ]) dsr = hs/(sin[∅]) dss = 3.059/(cos[θ]) dsr = 47.191/(cos[∅]) θ = arctan(hs/3.059) ∅ = arctan(hs/47.191) I have tried...
  11. J

    Finding Height (KE vs. Work by Gravity)

    A thin solid disk of radius R = 0.5 m and mass M = 2.0 kg is rolling without slipping on a horizontal surface with a linear speed v = 5.0 m/s. The disk now rolls without slipping up an inclined plane that is at an angle of 60 degrees to the vertical. Calculate the maximum height that the disk...
  12. R

    Calc Height Dielectric Oil Coaxial Cylinder Tubes

    Homework Statement Fromm Griffiths Two long coaxial cylindrical metal tubes (inner radius a, outer radius b) stand vertically in a tank of dielectric oil (susceptibility \chi_{epsilon}, mass density \rho. The inner one is maintained at potential V, and the outer one is grounded. To what...
  13. P

    Calculating Time to Catch a Falling Baby: SQRT2 & Height

    Hi, If a baby learning how to walk loses balance and falls sideways from an upright position (whilst standing), how long before the baby hits the ground, i.e how much time does one have to catch the baby? Is the time in that case still equal to SQRT(2*baby's height/9.81)?
  14. S

    Finding the minimum speed of a loop the loop and finding the height of the hill

    Homework Statement I have a hill with a roller coaster cart on it and it goes down and around a loop-the-loop the radius of the loop is 10m Diameter=20m What is the minimum speed the cart needs to go to keep it on the track? There is no friction, what is the height of the hill...
  15. P

    What is the relationship between range and initial height in projectile motion?

    Range and Height Kinematics? What happens to range if the initial height is doubled. Say if something is shot at 2 ft and then its shot at 4 ft high, what happens to range?
  16. D

    Kinetic Energy,Work Energy therom, Maximum Height

    Homework Statement A 0.145-kg baseball is struck by a bat 1.20 m above the ground, popping straight up at 21.8 m/s. (a) What's the ball's kinetic energy when it leaves the bat? (b) How much work is done by gravity once the ball reaches maximum height? (c) Use your answer in part (b) to find...
  17. H

    Find height of ball under water beam

    Homework Statement The 250 g ball is supported by the vertical beam of fresh water which issues from the 12 mm diameter nozzle with a velocity of 10 m/s. Calculate the height h of the ball above the nozzle. Assume the stream remains intact and there is no energy lost in the jet stream...
  18. I

    What is the Image Height for a Converging Lens and Diverging Lens System?

    Homework Statement A converging lens with a focal length of 30cm and a diverging lens with a focal length of -64cm are 139cm apart. A 4.0cm tall object is 50cm in front of the converging lens. distance between image and diverging lens has been calculated to be -32cm, and it is right...
  19. C

    Finding Energy Given Mass and Height

    [b]1. It is claimed that large trees can evaporate as much as 918 kg of water per day. Evaporation takes place from the leaves. To get there, the water must be raised from the roots of the tree. Assuming that the water must rise an average of 13.8 m from the ground, how much energy must be...
  20. G

    Time and height in a freefall problem

    Homework Statement A marble fell from the height h and covered the last 196,2m in 4 seconds. How long was the marble falling? What height was it falling from? Homework Equations s=s_{0}+v_{0}t+\frac{at^{2}}{2} v(t) = v_0 + at The Attempt at a Solution In the first equation...
  21. S

    Why Are There Three Pulse Heights for a Single-Energy Gamma Ray Source?

    Homework Statement A radioactive source which is known to emit gamma rays only at a single energy is placed in front of a gamma ray detector. The gamma ray pulse height spectrum shows three distinct pulse heights of 7.38,6.49 and 5.60 volts. What is the energy of the gamma ray? The Attempt...
  22. T

    Relating flow rate to height in a cylinder

    Hi, so I am trying to calculate the maximum height that would be achieved in a cylinder and have been give only the flow rate. The cylinder itself is a simple straight sided cylinder, the opening at the top has a diameter of 5cm and the hole at the bottom has a diameter of 0.5cm...
  23. B

    Finding the Maximum Height of a Pendulum Swing

    Hello, I have a physics lab tomorrow and have to answer this question to be admitted in. We haven't begun to talk about Pendulums in lecture yet, so I have NO idea where to start. Here's the question: A mass of 40 kg suspended from a 43-cm long light string forms a simple pendulum. The mass...
  24. N

    A plane flying at 220m s-1 at a height of 300m

    This is a question about projectiles A plane flying at a constant speed of 220m s-1 at a height of 300m. The pilot drops a food package to hit a certain target. a)How long (in time) before passing over the target should the pilot release the package? b)How long in metres would that be? S =...
  25. N

    Why is Acceleration Non-Zero at Maximum Height?

    Hi everyone! If i know that acceleration is the derivative of the velocity, why when i throw an object in the air when the object reaches the maximum height its velocity is 0 m/s and its acceleration is still -9.8 m/s^2 ? I mean, the derivative of 0 m/s is not -g but still 0. Who can explain...
  26. P

    Find the max height of the second projectile relative to seal level

    Homework Statement A projectile is launched at 110.0 m/s at 40.0° above the horizontal off a cliff that is 250.0 m above sea level. After 4.00 s of flight, this projectile launches a second projectile at 50.0 m/s directed at 15.0° below the horizontal. a) Find the max height of the second...
  27. A

    Differential Equation- Height of water in tank

    Homework Statement A water tank is filled by an inflow x(t), the tank is emptied by the outflow y(t) The outflow if controlled by a resistance R The water depth in the tank is represented by d(t) The surface area of the water is A, independent of depth The tank is 1.5m high with a...
  28. F

    A ball is dropped from a height of 39.0 m.

    Homework Statement A ball is dropped from a height of 39.0m. The wind is blowing horizontally and imparts a constant acceleration of 1.20 m/s^2 to the ball. a. Show that the path of the ball is a straight line and find the values of R and θ (R is the distance on the x-axis and θ is the angle...
  29. B

    Determining the Height of a Building

    Homework Statement You are sitting by a window when someone on the roof drops a ball. The ball spends .30 seconds in front of the window (which is 1.50 meters tall.) The ball subsequently hits the sidewalk and bounces back up at the same speed. On its way up it passes by the window again...
  30. C

    Projectile, max height half the range, find angle

    Homework Statement find the angle of the projection for which the maximum height is equal to half of the range Homework Equations vertical: h =(vsinθ)t-0.5(g)(t^2) horizontal: 2h =(vcosθ)t The Attempt at a Solution i know you set both equations equal to each other (vsinθ)t...
  31. W

    How high could sea levels rise by 2100 due to melting ice sheets?

    So I am not sure exactly how high the seas will rise if the ice sheets of Antarctica and the Arctic continue to melt by 2100. My best guess would be a rise of about 3-5 feet. Would that seem reasonable. Its just this whole 50 foot increase doesn't really make sense in that time frame that I've...
  32. R

    Projectile Motion from a height with Air Resistance

    Hey all, me again. This time my question has to do with projectile motion with air resistance from a given height. Homework Statement A cannon is located on a cliff of height h. If the muzzle velocity of a projectile is v0, find the range of the projectile when the drag is proportional to the...
  33. D

    Angled Projectile at an elevated height w/o a given angle

    Homework Statement Many modern 3D video games must be designed such that objects move in ways as close as possible to reality. This is often called “game physics”, which is run by a physics engine coded into the game. In one event of a recent game, a player’s job is to shoot a cannon at...
  34. P

    Mechanics: Calculating the minimum height for a bullet to launch from to hit a target

    1. The muzzle speed for a Lee-Enfield rifle is 630 meters per second. Suppose you fire this rifle at a target 700 meters away and at the same level as the rifle. a - In order to hit the target, you must aim the barrel at a point above the target. How many meters above the target must you aim...
  35. K

    Calculating horizontal distance using angle and max height

    The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0 above the horizontal, some of the tiny critters have reached a maximum height of 58.7 above the level ground. A)What was the takeoff speed for such a leap? I got 4.00 m/s which was...
  36. D

    How Do You Calculate the Height of an Elevator Approaching Its Floor?

    Homework Statement .An elevator is moving at 1.1 m/s as it approaches its destination floor from below. When the elevator is a distance h from its destination, it accelerates with a = −0.55 m/s2. Find h Homework Equations vf^2=v0^2+2ax x=x0+v0t+1/2at^2 The Attempt at a Solution...
  37. S

    Finding the height of an image reflected through a lens?

    Homework Statement A 2.0--tall candle flame is 2.1 m from a wall. You happen to have a lens with a focal length of 37 cm . How many places can you put the lens to form a well-focused image of the candle flame on the wall? For each location, what are the height and orientation of the...
  38. D

    Object being dropped at different height

    When an object is being dropped at different height assuming no friction will it have the same speed at the same time? Lets say an object was dropped at 10m and 5m at 3seconds would the speed be the same? a=v/t v=a*t using the formula i would assume they would have the same...
  39. D

    Angled Projectile at an elevated height

    Homework Statement Many modern 3D video games must be designed such that objects move in ways as close as possible to reality. This is often called “game physics”, which is run by a physics engine coded into the game. In one event of a recent game, a player’s job is to shoot a cannon at...
  40. K

    What is the height of the cliff?

    Homework Statement You want to know the height of a cliff so you throw a rock off the edge with initial speed v0 = 42 m/s upwards, inclined at an angle θ = 27° with respect to the horizontal. You have a friend that records the time that it takes for the rock to hit the bottom of the canyon...
  41. P

    Freefall Arrow Problem: Finding the initial speed and maximum height

    1. An arrow is shot vertically upward with an initial speed of 25 m/s. When it's exactly halfway to the top of its flight, a second arrow is launched vertically upward from the same spot. The second arrow reaches the first arrow just as the first arrow reaches its highest point. What is the...
  42. K

    Finding the maximum height given multiple variables

    Homework Statement A 4.27-kg object is thrown vertically upward from the surface of Mercury, where the acceleration due to gravity is g1 = 3.70 m/s2. The initial velocity is v1, and the object reaches a maximum height of y1. What is the maximum height, y2, if the object is thrown with a...
  43. D

    Jump height difference in two different gravities

    Homework Statement Gravity varies in two different places by 0.01 m/s^2. The jumper has a mass of 72 kg. What is the difference in jump height in each location? I have a couple of height measurements, but I'm pretty sure they are irrelevant because I am looking for a difference (and the...
  44. C

    Civil Engineering: Hydrogeology, Height of a Perched Aquifer Water Table

    Homework Statement Heavy infiltration (due to excess irrigation) of 3 cm/d causes a perched water table to form above a low permeable, flow-restricting layer. The top of the restricting layer is at a depth of 2 m, it is 0.4 m thick, and it has a K_v of 0.01 m/day. The material above the...
  45. 0

    How Do You Calculate the Work Done to Reach Maximum Height on a Planet?

    Homework Statement A rocket is launched at a planet of 600km radius, 5.29e22 kg mass, and 9.8068 m/s^2 surface gravity such that it reaches a maximum height 'h' with work 'x'. What is the value of 'x'? Ignore air resistance, and gravity is dependent on height. Homework Equations Unsure of...
  46. I

    FInd the height where two object pass each other.

    An object is thrown downward with an initial speed of 6 m/s from a height of 42 m above the ground. At the same instant, a second object is propelled vertically up from ground level with a speed of 55 m/s. At what height above the ground will the two objects pass each other? The acceleration...
  47. D

    How do i find the final velocity with 2 height variables and gravity

    1.A tennis ball is dropped from 1.3 m above the ground. It rebounds to a height of 0.956 m. With what velocity does it hit the ground? The acceleration of gravity is 9.8 m/s^2 (Let down be negative.) Answer in units of m/s 2.With what velocity does it leave the ground? Answer in units of m/s...
  48. L

    Soccer goal. Need help defining height of ball at a distance.

    Homework Statement Write a program to determine whether or not a ball kicked is a goal. Initial distance (from goal), initial angle, and initial speed are user-defined variables. The net is 2.54 m high. Gravity is 9.81m/s^2 Homework Equations...
  49. S

    At what height should a gun be fired for bullet to have escape velocity

    Hello, can you can tell me if this is correct? I thought the height would turn out close to where satellites orbit, but it comes out to about 5.5 million miles away! I was very surprised by this, that's about 20 times further than the moon. Here's what I used Escape velocity: Ve = sqrt(2GM/r)...
  50. AnTiFreeze3

    Finding Maximum Height of a Projectile

    Homework Statement A basketball player is awarded free-throws. The center of the basket is 4.21m from the foul line and 3.05m from the ground. On the first free throw he throws the ball at an angle of 35 degrees above the horizontal with a speed of v_0 = 4.88 m/s. The ball is released 1.83m...
Back
Top