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. L

    Calculating Metacentric Height: How Do I Solve This Ship Stability Problem?

    Homework Statement In a ship of 10000 tons, the breadth of whose deck is 20 m, a mass of 50 tons is moved from one side to the other causing the bob of a plumb line 10 m long to move over 20 cm. Find the metacentric height? Homework Equations The Attempt at a Solution I don't...
  2. B

    Fluids Mechanics, finding height in the piezometric tube

    A large open tank, shown below, contains water at a height H. The water is allowed to flow out through a pipe whose cross-sectional area is A. The pipe has a nozzle at the end, whose area is a. Assuming frictionless flow, determine (i) the height h to which the water rises in the piezometer...
  3. M

    Calculate change in height of fluid in a cylinder based on flow out

    Homework Statement A cylinder with radius five has water in it. The water flows out of the cylinder with a rate of 5π units cubed per minute. At what rate does the height of the fluid in the cylinder change? Homework Equations volume of a cylinder = πr^{2}h The Attempt at a Solution...
  4. T

    Maximum height using Newton's second law

    a small object with mass m=10gr is thrown vertically upwards from the surface of Earth with a velocity v=10m/s i need to find the max height(Hmax) (when v=0) and the time(tmax) when the object reaches the max height by using Newton's second law only. (ignore the effect of air and air...
  5. N

    Impulse, momentum and efficiency to find height formula

    http://a6.sphotos.ak.fbcdn.net/hphotos-ak-ash4/388044_10150449591037412_816037411_8386849_1415117382_n.jpg Homework Statement A ramp system is set up. Due to friction the ramp has an efficiency of 82%. Two cars of equal mass are allowed to collide and car 1 starts from rest at height h1...
  6. E

    Calculating Water Height for Pipeline from Tank A to B

    I am designing a water pipeline from tank A to tank B. assuming tank B is empty, how can i calculate the water height going out from the pipe?
  7. P

    Solve for Image Height: Find Hi with f, M, s & s

    Homework Statement With a lens with f = 25 cm, we want to project an image that is 5 times bigger than object, so M = 5 - Find the image distance s' - Find the image height Hi Homework Equations 1/f = 1/s + 1/s' M = s'/s = Hi/Ho With: f = focus distance of lens M =...
  8. I

    Under Pressure Finding the height of compressed air

    Homework Statement A 1.0--tall cylinder contains air at a pressure of 1 . A very thin, frictionless piston of negligible mass is placed at the top of the cylinder, to prevent any air from escaping, then mercury is slowly poured into the cylinder until no more can be added without the cylinder...
  9. R

    Find theta given range, height, and projectile velocity

    Homework Statement If a trajectory is shot at angle theta at a fixed projectile velocity of 50 m/s, what angle(s) could it be shot so that it just makes it over a wall 30 meters high, 220 meters down the path. Homework Equations d=1/2at^2+vt sinx*v=vertical component...
  10. S

    Determine the height to which the center of the baton travels

    Homework Statement a baton twirler throws a baton straight up in the air, it goes up and comes straight back down. it completes 4 rev. ignoring air resistance and assuming the angular speed is 1.80 rev/s , determine the height to which the center of the baton travels above the point of...
  11. Z

    How to calulate the height on this manometer

    dear guys, can you explain to me how to solve the problem below :- kindly refer the attached file. your help is much appreciated. regards, zainul
  12. B

    How to calculate the height of something by throwing an object off it?

    I go rock climbing a lot with my BSA troop, and my friends and I can only estimate the height. I want to know the exact height. Considering I do not have a ruler long enough to measure the height of the cliff, I know there is a way to throw an object off the cliff (say, a rock), time how long it...
  13. N

    Equation of the sinusoidal function that represents height above the ground

    Question: 1. A clock is hanging on wall. length of minute hand is 16cm and the length is 8cm for the hour hand. The highest that the tip of the minute hand reaches above ground is 265cm. a) What is equation of axis, amplitude & period in minutes of function that represents the tip of hour...
  14. V

    A body thrown upwards from a stand of height

    I want to check whether my solution is right or not... beside I have made some correction to the problem so that it will be consistent ( I want to check also this correction).:smile: Homework Statement A body is thrown vertically upwards from a stand of height 30 meters above the ground. If...
  15. K

    Determining Minimum Height for Marble to Complete Loop-the-Loop

    Homework Statement A 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? Homework Equations What minimum height h must the...
  16. M

    Calculating Object Height Using a Pinhole Camera

    I don't have any idea how to go about this... Please help!:frown: A pinhole camera produces an image of an object kept at a distance of 100m from the pin hole. If the screen is 10 cm from the pin hole and the image is 5 cm high, what is the height of the object Any help will be...
  17. A

    Finding Velocity When Only Given Height

    A football is kicked from a height of 2.0m to a maximum height of 8.0m. Calculate the football's initial velocity and the time taken to reach the maximum height. v=d/t I have no idea how to even approach this question. How do I apply formulas to solve this question given only the...
  18. M

    Optimization of a Cylinder's Height and Radius

    A cylindrical can with height h and radius r is to be used to store vegetarian chilli. It is to be made with 6 square centimetres of tin. Find the height h and radius r which maximizes the volume of the can. Hint: The volume of a cylinder is r2h and the surface area of the side walls of a...
  19. M

    Can I use my siblings' heights to predict my child's adult height?

    I have two questions. Suppose I am a parent and want to predict how tall my child will be as an adult. I want to survey family members from both sides. Should I survey my brothers and sisters, or should I survey my 20-year-old nephews and nieces? I think I should survey my brothers and...
  20. V

    Weight at different height forklift

    Hello I would like to know how to calculate the rated capacity of a forklift at different height? How can weight to be carried change as teh height increase...
  21. P

    How Can a Clinometer Help Determine the Max Height of a Rocket?

    Ok, so i need to find the max height that my rocket travelled, however, the only thin gi got is that a reader holding a clinometer is 50m form the launch site and is 1.78m heigh. According to him, my rocket traveled with a 59 degree in 3.83 sec (taken when the rocket's parachute came out at the...
  22. T

    Calculate the height of a building using scale measurements

    Homework Statement Supposedly, I put an object on a scale inside the elevator of a building, the scale reads m1. I start the elevator to the top of the building, during acceleration, the scale reads m2. As the elevator normalized, the scale reads m1. During the deceleration at the top, the...
  23. P

    Speed of water and height involving fluid mechanics

    Homework Statement In a very large closed tank, the absolute pressure of the air above the water is 6.01x10^5 Pa. The water leaves the bottom of the tank through a nozzle that is directed straight upward. The opening of the nozzle is 4.00m below the surface of the water. a) Find the speed at...
  24. M

    Solving a Rocket's Motion: Max Height & Horizontal Reach

    Homework Statement For 6.5 s, a rocket rises in a straight line oriented at 70° from the horizontal axis with a constant acceleration module of 8m/s2. Then she is goes into free fall. Find: a) the maximum height b) its horizontal reach Homework Equations t = ( vfv - viv)/a d = viht +...
  25. K

    Difference in height in a U-shaped tube

    Homework Statement The horizontal pipe, shown in the figure, has a cross-sectional area of 40,0 cm^{2} at the wider portions and 10,0 cm^{2} at the constriction. Water is flowing in the pipe, and the discharge from the pipe is 6,00*10^{-3}\frac{m^{3}}{s} (6,00\frac{L}{s}). The density of...
  26. C

    How to calculate fountain GPM for a fountain height of 120 feet

    Homework Statement How can I calculate the GPM (gallons per minute) of water needed to make a fountain shoot 120 feet in the air straight up? The diameter of the nozzle is 2 inches and friction is neglected. Also, what is the minimum liquid horsepower of the pump neglecting friction and...
  27. D

    What is the maximum height of the rocket?

    Homework Statement A rocket has a body which consists of 0.49kg of material. This body holds 1.47kg of fuel. The fuel is consumed at a rate of 0.49kg/s, and the exhaust speed of the fuel is 60m/s. Assuming that the rocket starts from rest, what is the maximum height the rocket reaches...
  28. D

    Bullet passing through block of wood. Find max height of the wood.

    Homework Statement A bullet of mass 0.005kg is shot at a suspended block of wood with mass 1kg. The bullet initially has a speed of 200m/s, and passes through the block of wood. The bullet passes through the wood, and 50J of work is done deforming the shape of the bullet and block. If the...
  29. D

    Mass in circular motion with friction. Find max height.

    Homework Statement A mass starts from rest at the upper rim of a semi-circle of radius 8m. In the bottom of this there is a region of size 1m which has a coefficient of kinetic friction of 0.5. What is the maximum height that the mass reaches after passing through this region once...
  30. M

    Solving a Stone Thrown from a Cliff: Time, Height, Reach & Speed

    Homework Statement A stone is thrown from a cliff 100 meters high with an initial velocity v0 = 25 m / s and at an angle of 53° projection from the horizontal axis. determine: a) the time before it reaches the ground b) the maximum height c) its horizontal reach d) its speed when it hits...
  31. O

    Projectile Motion with only the vertical/ horizontal height and angle given

    I need help! I understand regular projectile, but when it comes to using an angle it drives me crazy! The vertical distance is 15.01 m Horizontal distance is 21.84 m Angle is 45° I figured the time to be 2.1 sec I need the velocity And VsubF is 0...right? I just need the help guys, thanks
  32. J

    Maximum height of baseball, given total flight time.

    Homework Statement The question i need to answer is: A baseball has a flight time of 7 seconds. What maximum height did it reach? (ignore air resistance.) Homework Equations I need to use equation 1 and equation 5 of the constant acceleration equations. The Attempt at a Solution I...
  33. A

    Woodpecker's Height: Solving an Angle of Elevation Problem

    Homework Statement Matt spies a woodpecker on the branch of a tree in a park. From the ground, the angle of elevation along his line of sight to the bird is 26 degrees. He walks 20 ft towards the tree, and in the same plane as before, now sees the bird at an angle of elevation of 40 degrees...
  34. U

    Finding acceleration with only height and time.

    So people have been arguing about a video games new hero, saying the gravity with which corpses fly off at is too low, and it looks like "moon physics". One guy went so far as to solve for acceleration for the bodies in the video. "http://www.youtube.com/watch?v=ldMOdxKs8S4 At 11:06 you...
  35. B

    Reaching Max height with a baton using physics.

    I am working on a project and the topic is: Figuring out what the maximum height of a baton tossed vertically can be. I have never taken a physics class, so this is all completely new to me. I have been working for a little while now, and I didn't know if there were any ideas or equations anyone...
  36. J

    Calculus- how to find half of max height

    Homework Statement the question says " when did the rock reach half its maximum height? Homework Equations a rock is thrown vertically upward from the surface of the moon at a velocity of 24m/sec and reaches height of s= 24t-0.8t^2 The Attempt at a Solution i figured out when...
  37. C

    Loop-the-loop find height object falls out of the loop

    Homework Statement m= 0.2Kg r=0.6m k= 500N/m x=0.08m the spring is pressed together 0.08m before it's released. Friction = 0. the objekt goes through a loop. find the height when the object loses contact with the loop. Homework Equations The Attempt at a Solution 1/2kx2=...
  38. M

    Calculate Urine Height from Flow Rate with Excel Graph

    Urine flow meters are used to diagnose urinary flow obstructions such as might occur in the even of enlargement of the prostate gland in men. The Stream-test™ is a simple home uroflow meter consisting of plastic cup with a hole in the base. The maximum height of the urine in the cup is...
  39. M

    Find the height of any triangle?

    Homework Statement I have the side lengths of a triangle. The base is 190 ft long, side A is 182 ft long and side B is 363 ft long. That's all I know. Homework Equations The Attempt at a Solution I know these side lengths are related somehow.
  40. A

    Cloud movement, finding temperature, velocity and height from this formula

    1. An unsaturated parcel of air is entrained into a cloud near the region of the cloud top. the updraft velocity U, the ambient lapse rate in ther cloud γ, the entrainment rate E, and the mixing ratio of the condensed water μcan be considered constants along the trajectory of the parcel...
  41. E

    How to find energy if mass and height is given?

    If you are going to throw a 1kg ball vertically upward and reach a maximum height of 18m. A)How much energy is needed? B)What should be the initial speed of the ball? My solution: mgh=1/2mv^2 v=√2gh v=√2(9.8)(18) v=18.78m/s In getting the energy I derived the work energy theorem 2w=vo^2...
  42. M

    Predicting adult height given current height, age and growth plate measurement

    I went to see an orthopedic specialist this year, when I was 15 years and 5 months old. I am 5 ft, 11 1/4 in. The specialist looked at my then-recent X-rays and I was not even halfway done growing. (I'm pretty sure I scored a 2 out of 5.) I am due for another X-ray sometime next year, at...
  43. G

    Is the velocity of a pendulum at the height of its swing 0?

    I would think that at a pendulum's highest point the velocity would be 0. Am I wrong in my assumption?
  44. E

    Quantum fluctuations at different height.

    has quantum fluctuations and the Wand der walls force that they produce been measured at different heights? Are there any results? Would there/ should there, according to accepted theories, be any difference?
  45. D

    Rocket Launch: Solving for Height and Time

    Homework Statement A rocket is launched off and accelerates vertically up at 10 m/s 2. At 20 seconds, the motors are turned off, but the rocket keeps going up. a) What height did it reach? b) What was the time it needed to reach that height? g: - 9.8 m/s2 a: 10 m/s2 final velocity: 0 m/s...
  46. A

    How do I find vertical height knowing only hang time?

    Homework Statement A basketball player achieves a hang time of 0.843 s in dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s2. Answer in units of m. Homework Equations I'm not sure what to use, but I think \Deltax = vit + 1/2 at2 could work. The...
  47. A

    A rock is THROWN downward. What was the initial height?

    Homework Statement A rock is thrown downward from an unknown height above the ground with an initial speed of 27 m/s. It strikes the ground 7.1 s later. Determine the initial height of the rock above the ground. The acceleration of gravity is 9.8 m/s2. Answer in units of m. Homework...
  48. J

    Height of an ellipse above the plane in three dimensions (z parameter)

    Homework Statement What is the expression for z (the height above the xy-plane) in terms of r,f,w,i. r = the distance f = the angle between the semi-major axis and the r vector w = the angle that the semi-major axis makes with the y-axis i = the angle that the plane of the ellipse makes...
  49. S

    How High is the Cliff If a Ball Takes 3.2 Seconds to Hit the Water?

    Homework Statement A ball is dropped from a sea cliff. 3.2 seconds later it is heard striking the water. The speed of sound is 340 m/s. How high is the cliff? I can't seem to get this question, every attempt seems to point to insufficient amount of information.
  50. P

    Maximum height of a toy rocket?

    maximum height of a toy rocket?? Homework Statement A toy rocket is launched vertically from ground level(y=0) at time t=0s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 49 m and acquired a velocity of...
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