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. T

    Height of cliff using energy and speed of sound

    Homework Statement [/B] A stone is dropped from the top of a cliff. The splash it makes when striking the water below is heard 4.0s later. how high is the cliff Homework Equations .5mv^2+mgy = E v = v0 + at v = d/t The Attempt at a Solution The question says after the rock is DROPPED so i...
  2. B

    Velocity of Baseball at 47 m Height

    Homework Statement A baseball is hit directly upward with an initial speed of 37 m/s. Find the velocity of the ball when it is at a height of 47 m. Homework Equations F=ma F=ag The Attempt at a Solution F=(37)(-9.8)=-362.6/47=7.7[/B]
  3. wonchristy

    Throwing a Ball on Mars: Exploring Height, Speed, and Time

    A ball is thrown with an initial speed of v0=39.2m/s vertically to Mars. Its initial height is h=15m from the surface of mars. the acceleration of gravity on Mars is g=3.7m/s^2 (1) what is the maximum height hmax of the ball (2) How long is the ball in the 'atmosphere' (3) What is the speed...
  4. M

    Velocity and height at each time interval

    Homework Statement I want to calculate velocity and height at each time interval Time intervals: 1,2,3 (seconds) equilibrium height = 3 meters amplitude = 0.2 angular frequency = 48 rad/s phase shift = 60 Homework Equations y(t) = equiheight + Amplitude*sin(angfre*t +...
  5. jdawg

    How high will the projectile be at 5 km downrange?

    Homework Statement A projectile is fired with an initial speed of 500 m/s at an angle of elevation of 45°. When and how far away will the projectile strike? How high overhead will the projectile be when it is 5 km downrange? Homework Equations The Attempt at a Solution Flight...
  6. Y

    Solving for Velocity as a function of height (y) with quadratic drag

    Homework Statement Write down the equation of motion for the downward journey of a baseball subject to quadratic drag. Find v as a function of y and, given that the downward journey starts at ymax (given below), show that the speed when the ball returns to the ground is: vterv0 /...
  7. P

    A simple uncertainty question about height.

    So this is a physics question, that I am trying to solve. The premise seems simply but I am getting caught up on the uncertainty. The questions reads like this: "Something from the top of a platform takes (2.0 ± 0.1)s to fall to the floor, assuming the acceleration due to gravity is 10 m/s2...
  8. blintaro

    Density of Earth's atmosphere w.r.t height

    Homework Statement "It's possible to use the ideal gas law to show that the density of the Earth's atmosphere decreases exponentially with height, that is ρ=ρ0exp(-z/z0) where z is the height above sea level, ρ0 is the density at sea level and z0 is called the "scale height" of the...
  9. Yae Miteo

    What time are two thrown balls at the same height?

    Homework Statement A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 23.8 m/s, from a height of 0.8 meters above the ground. The force...
  10. wolf1728

    Cylinder Calculator - Volume Area Radius Height

    Maybe I'm plugging my website but I just finished writing a versatile cylinder calculator. If you know two variables (Volume Area Radius Height), it calculates the other two. http://www.1728.org/diam.htm It was a little tricky deriving the formulas but I'm glad I did. (Yes, I know if you...
  11. C

    If the height of the water slide is h = 3.2m and the person's initial

    "If the height of the water slide is h = 3.2m and the person's initial speed at point A (at the top of slide) is 0.54m/s, at what location does the swimmer splash down in the pool?" I saw a thread with the same question back from 2005 but it is now closed. I understand that you have to use...
  12. H

    What is the maximum height of the square's center-of-mass?

    Homework Statement A square shaped block of mass m travels to the right with velocity v on a frctionless surface. The block has side-length 2d. The block hits a very small, immovable obstacle on the floor and starts to tip. The block has moment of inertia Icm=2/3md^2 about an axis through...
  13. D

    How to Maximize the Height in a Newton's Cradle with Unequal Masses?

    Homework Statement An executive toy consists of three suspended steel balls of masses M, n and m arranged in order with their centres in a horizontal line. The ball of mass M is drawn aside in their common plane until its centre has been raised by h and is then released. if M ≠ m and all...
  14. D

    How can I calculate the maximum safe drop height for a laptop rated at 1500 gs?

    A certain laptop says it can withstand 1500 gs. Assuming that it's dropped onto a hard surface, and ignoring air resistance, how would I calculate how many times Hubby can come home late without calling the max "safe" drop height?
  15. J

    Remotely changing superconductor levitation height

    Forgive me if some of my question sounds misguided or misinformed - I'm new to the flux pinning game. I want to be able to modify the height of a quantum locked superconductor. My original plan was to levitate the superconductor over an electromagnet and modify the current to said magnet...
  16. B

    Need help with projectiles initial velocity using height and distance

    home run that was estimated to have landed 180 metres from the home plate and to have reached a height of 21.3 metres. Calculate the initial velocity of the ball. u^2=v^2-2as t=? u=? v=0 s=180 a=g= -9.8 u^2= √0^2-2x-9.8x180 u= 59.9 m/s am I using the right equation for...
  17. N

    Weight needed to launch object to a certain height

    Hi, I'm a first time poster here and I have a physics question I can't find the answer to anywhere. I don't know much about physics so this might be a basic question to answer. I have a mass (x) that is attached to a cable that is attached to a counterweight that is at 10 feet that will be...
  18. T

    Calculate Height of a Tree - Geometry

    Hi, I visited my Mother and Stepfather recently, and admired the tall trees around their house. We estimated them to be around 180-200 feet tall. I told my Stepfather that the *Actual* height could of course be calculated. I said there are three angles and three lengths for any...
  19. R

    Calculating Marble's Fall from a Table Height

    Homework Statement A marble is accelerated to a horizontal velocity of 0.50 m/s by rolling it down a small ramp. The marble rolls off the table, which is 0.78 m high. As it falls, it hits a barrier on the way down. If the barrier is 0.15 m from the edge of the table, at what height from the...
  20. A

    Capillary action meniscus height in a tube fitted inside another tube?

    Hello, I was thinking about how would capillary action change in a tube (classic example) and in a tube fitted inside another tube (considering water as the liquid involved). This is no homework question, it's just a thought which striked my mind but I don't have sufficient basic knowledge...
  21. T

    Does a ball always bounce the same fraction of the previous height?

    Homework Statement I need to know whether a ping pong ball bounces the same fraction of the previous height or does the fraction change? For ex. if I drop the ball from 1m and it bounces back to 0.7m, it decreased by 30%, will it always decrease by 30%, or will the percentage change...
  22. T

    Find the height of a bouncing ball at any given time

    Homework Statement Find an analytical model for the height of a bouncing ball to be able to find the the height of the ball at any given time. In other words, as I understand, write an equation that would define the trajectory of a bouncing ball. Let's say the coefficient of restitution (COR)...
  23. R

    How High Does the Apple Reach When Thrown at 55 Degrees?

    Homework Statement You want to throw an apple to your buddy on the second floor balcony that is 2.2m above where you release the apple. When you throw the apple with a speed of 14m/s at an angle of 55° above the horizontal, it gets to your buddy who catches it on the way down. Find the maximum...
  24. T

    What's the reason for differentiating?

    Homework Statement A closed cylinder is required to have a volume of 40m^3 but made with the minimum amount of material. Determine the radius and height the cylinder must have to meet such a requirement. V= πr^2h Steps needed: a) Insert value and transpose for h b) Then sub into...
  25. C

    What was the velocity of the apple before it hit Newton?

    An apple falls from a tree and hits Sir Isaac Newton on the head. If the apple fell from 2.5m, what was the velocity of the apple just before it hit him? This question was on my physics exam today, and no one I've talked to in my class was able to get it! Dont we need two variables at the...
  26. C

    How to Determine the Height of a Rocket After Fuel Burn?

    Homework Statement Consider a rocket making a vertical ascent in a uniform gravitational field, g. Show that the height of the rocket when the fuel is exhausted is given by x = ut_b - \frac{1}{2}g{t_b}^2-\frac{um_R}{α}ln{\frac{m_R+m_F}{m_R}} where "u" is the exhaust velocity of the fuel...
  27. J

    How Long Does It Take a Diver to Reach Maximum Height?

    Homework Statement find time to reach max height max height is 0.870m mass of diver is 70kg makes an angle when diving of 85 degrees Homework Equations Vf=Vi + gt The Attempt at a Solution Vi=0 Vf=gt t=vf/g = 0.870/9.8 not sure if this the right approach
  28. F

    How Do You Calculate the Height of Fluid in a Horizontal Cylinder?

    Thanks in advance! I have problem that is causing me a headache to no end. In a cylinder, if one knows the total volume of cylinder and total volume of fluid in said cylinder, how would the height of this fluid be computed? I have no problems calculating volumes based on height, but the other...
  29. M

    MHB Word problem: initial height of projectile

    A ball is thrown from a cliff. The path of the ball modeled by the equation h = -5t^2+ 5t + 210, where h is the height, in metres, of the ball above the ground, and t is the time, in seconds, after it is thrown. How high is the cliff? Not really sure how to do this problem. I know that one of...
  30. A

    Solving for Max Height and Angular Velocity of a Thin Rod

    Homework Statement A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end. I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...
  31. A

    Height of ball bounce with air resistance

    Homework Statement Ball with mass of 0.7 kg and radius 0.15 m is dropped from top of the building 30 m tall. Force of air resistance which acts on ball is given with the equation: F_r = \frac{1}{2} c S ρ v^2 where c = 0.5 S = r^2 ∏ ρ = 1.29 \frac{kg}{m^3} v = current speed. How tall will...
  32. J

    Radius of circumference as function of arc lenght and height

    Homework Statement I don't know the radius of the circumference. I could only measure the arc lenght, and the height. I know the guidelines say we should not post images, but this is a geometric problem and I think it is something logic to show it with a picture. So the variables are the...
  33. R

    Vertical jump height from force plate

    Hi guys I've a problem calculating the vertical jump from ground reaction force. We tested a person with a force plate, and we got this curve as a result: Homework Equations These are the equations, sorry for the danish language, but just look at the equations and not the text...
  34. A

    Loop-the-loop track, connection height with time?

    So at school we had to make our own experiment, and we tried to make a loop-the-loop. We let a marble go from some height. But now we've got a problem. We had a sensor on the top of the loop, to see how long it does to go to the top of the loop. But it didn't make sense. So I had to fake the...
  35. S

    How High Should a Street Lamp Be for Optimal Road Illumination?

    Homework Statement Above the center of the street a lamp is hanged. A lamp radiates equally in all directions. How high does the lamp have to be so the edge of the road is as bright as possible? Homework Equations The Attempt at a Solution I'm kinda lost here...
  36. G

    Kinematics help - object is dropped from a height h

    Kinematics help -- object is dropped from a height h Homework Statement An object is dropped from a height h and strikes the ground with a velocity v. If the object is dropped from a height of 2h, which of the following represents its velocity when it strikes the ground? A) v B) 1.4v...
  37. D

    Maximum Height of model rocket

    Homework Statement A model rocket is launched with an initial velocity of 55 m/s. Its height as a function of time can be modeled by h(t) = -4.9t2 + 55t. Determine the maximum height reached by the rocket.Homework Equations h(t) = -4.9t2 + 55tThe Attempt at a Solution h'(0) = 55, since h'(t) =...
  38. A

    Projectile Motion- What angle does range equal max height?

    Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...
  39. M

    A rock is thrown with height, direction, and inital velocity provided

    Homework Statement A rock is thrown off a 100 m cliff at an angle of 38 degrees below horizontal with an initial velocity of 20.0 m/s. a) What is the total time in flight? b) What is the horizontal range? c) What is the max height reached by the rock? Homework Equations x = x_0 +...
  40. T

    Impulse and maximum height of a particle

    Homework Statement A particle receives an impulse that lasts 1s, coming from a upwards vertical force. This force is given by the following equation: F = -8t²+8t. What is the maximum height reached by the particle?Homework Equations F = -8t²+8t The Attempt at a Solution \int(-8t²+8t)dt =...
  41. N

    Calculating Max Height of Water Squirted from Garden Hose

    Homework Statement A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.800 cm. The velocity of the water in the hose is 2.80 m/s and the velocity of the water in the nozzle is 28.7 m/s.s (a) Calculate the maximum height to which water could be squirted if it...
  42. D

    Energy conservation - maximun height and equilibrium height

    Homework Statement A ball of mass M = 0.320kg is connected by a light but rigid rod of length L = 0.770m to a pivot and held in place with the rod being vertical. A wind exerts a constant force F to the right on the ball. The ball is released from rest, and the wind makes it swing up to a...
  43. K

    Kinematics - projectile motion - time to maximum height?

    Kinematics -- projectile motion -- time to maximum height? Homework Statement The nozzle of a fire hose discharges water at a speed of 10 m/s. The nozzle is aimed straight up. How long does it take for a water drop to reach its maximum height? Start with translating the question: vi= 10 m/s...
  44. A

    Surface height from surface normal function

    If you are standing on the side of a mountain at a point (x,y) and you know where the peak is (Xp, Yp) and how high it is (Zp) and you have a function G(x,y) that defines the 3D normal vector to the mountain side at all points on the surface, how do you calculate your height? OK it's a simple...
  45. A

    Height when a ball is thrown vertically at half its velocity

    Homework Statement A baseball is thrown vertically into the air with a velocity, v, and reaches a maximum height, h. At what height was the baseball with one-half its original velocity? Assume no air resistance. Homework Equations v22 = v12 + 2ad ? The Attempt at a Solution let...
  46. N

    Height at which pilot must pull out of dive before hitting 5g

    Homework Statement A jet is diving vertically downwards at 1200kmh^-1. If the pilot can withstand a max acceleration of 5g before losing consciousness, at what height must the plane start a quarter turn to pull out of the dive. Assume the speed remains constant. The Attempt at a Solution I...
  47. B

    Height of Peak in M-Slit Experiments

    Homework Statement Let q = kd sin(θ), so the sin(θ)-dependent factors in the M-slit and the 2-slit formulas for registered diffraction intensity can be compactly written: 1/M2 = (sin2(Mq/2))/(sin2(q/2)) and cos2(q/2), where the 1/M2 prefactor normalizes them in common to have unit maximum...
  48. P

    Max Height of Object Thrown Vertically

    Homework Statement An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height. Homework Equations Vf^2 = Vi^2 +2gt The Attempt at a Solution Couldn't figure out Vi...
  49. G

    What is the Maximum Height and Time of a Rocket's Flight?

    Homework Statement A rocket moves upward, starting from rest with an acceleration of 29.4 m/s^2 for 4s. It runs out of fuel at the end of this 4s interval and continues to move upward. a.) how high does it rise from the ground? b.)When the rocket will hit the ground? The Attempt at a...
  50. L

    MHB What is the height of a cone's lateral surface minimum confined to a sphere?

    (2) Find the height of the cone's lateral surface minimum confined to a sphere of RADIUS R. the answer is (2 + sqrt(2)) R
Back
Top