# What is Height: Definition + 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.

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1. ### Engineering Determine the flight time and heights of 2 balls thrown vertically

To find the time of this problem, I used the equations 3 + (10 * x ) = 13.5 *x. 3 = 3.5*x. Therefore x was 0.857. To start off with child A was already three feet above ground and I got the answer to the time. However I couldn't find the height.
2. ### Minimum work done to push the cube over

my attempt: centre of mass of standing block is at 0.6 and the fallen block is at 0.25 so then change in height = 0.35 and mg = 4000 N so change in gpe = 4000* 0.35 = 1400J but wouldnt we take into account that we only have to apply force till the centre of mass is outside of the block so...
3. ### I Calculate new height of truncated cone

Hi, Suppose you have a truncated cone filled water with the lower radius being R, and upper r (R>r), and the height is H. R, r and H is known so the volume, V, can be calculated using V=1/3*pi*H*(R^2+R*r+r^2). Now suppose you remove some water so that you end up with a lower volume, V1. The...
4. M

### Finding the launch angle for a projectile if the range is 3x the max height of the trajectory

For this problem, The solution is, I don't understand how they got from ##\frac {sin^2\theta_i}{sin2\theta} ## to ##\frac{tan\theta_i}{2}##. Would somebody please show me the immediate steps? I also don't understand is why they say the ignore the trivial case where ##\theta_i = 0~rad##...
5. ### Hop height of a rod and speed/ time if hit upward with force f

I want to make a few of these if it will not cost a lot.
6. ### Finding a rocket's speed at height h

I substituted 0 for vi, as the rocket is initially stopped. I am looking for Vf. So: Vf^2=0+2asΔs Vf^2=2asΔs I then substituted a=Fthrust/m So: Vf^2=2(Fthrust/m)Δs Δs at any given moment equals h so I substituted h for Δs. Then took the square root of both sides. Vf=sqrt(2h(Fthrust/m)) It...
7. ### B Why does increasing the height of a water tower increase water pressure?

Hello, I was wondering, for a fixed amount of water, why when the height of a water tower increases, the water pressure at the outlet of the pipe at the base of the tower increases ? I have often read on the internet that it would be caused by the weight of the water above the water at the base...
8. ### Time to reach Max. Height for a kicked soccer ball

Vvertical=15sin30 = 7.5m/s d=Vvertical*t+0.5atsquared 0=(7.5m/s)t+0.5(-9.81m/s)t squared 0=t(7.5m/s-4.9t) t= 1.53s t=1.53/2 t= 0.76s to reach the maximum height Is this correct?
9. ### Find the Height of a Building by dropping a ball from the top

Hi, I have this kinematics question I am struggling with. There is a building from which a ball is dropped and it takes 5 second to reach the ground. Then they say that the same building is on a planet w/o atmosphere where g= 6 m/s^2 . What is the height of the building ? I approached this...
10. ### The height s at time t of a silver dollar dropped from the World Trade

I don't have any solution
11. ### Find Projectile Flight Time Given Only Maximum Height

I've been trying some online projectile problems. Specifically, I was using this one on master difficulty, looking at row e. It uses a random number generator; I shared the data I received in the Homework Statement above. According to the help section, you can solve this with the formula...
12. ### Drop height of a magnet vs. induced EMF in a solenoid

I am currently working on an experiment that involves dropping a magnet from varying heights and measuring how the induced emf of a solenoid changes as a result. I am currently somewhat struggling with a derivation for a relationship between the two variables, however, this is what I have been...
13. ### Bernoulli equation / fluid flow / finding height

Hi, everyone! Doing some fluid flow/Bernoulli tasks. Ok, so the task is: «A hose with a radius of 0,035m is connected to a nozzle, which reduces the radius of the hose to 0,018m (2). The hose carries (qv) 0,0075 m3/sec and the totalpressure (3) in the wide section (1) is 211 kPA. The density of...
14. ### Connection between Pressure, Surface Density and Height?

[Mentors' note: moved from technical forums so no template] Hi All, Working on a lab write-up, and I need background equations to support the reasoning for my experiment. To outline briefly, two-part experiment, first part was finding the ideal pressure for a basketball, where I inflated it...
15. ### Calculating Maximum Height: Confusion & Solutions

I am calculating it like this: 𝑦=ℎ0−0.5𝑔𝑡^2=0→ℎ0=0.5𝑔𝑡^2→𝑡=sqrt(2*ℎ0/g) 𝑥=𝑣0*𝑡→ substituting t →𝑥=𝑣0*sqrt(2*ℎ0/g) 𝑑𝑥/𝑑ℎ0=𝑣0/(𝑔*sqrt(2*h0/g))=0 for maximum ℎ0=0. confused. can someone tell me how I am calculating this wrong?
16. ### Does climate change affect air density at altitude (scale height)?

Increases in global temperature change affect the tree line and presumably comfortable habitability via temperature, and average air pressure associated with weather patterns. That's not what I mean. I'm thinking a 1/50 increase in kelvin temperature might increase the scale height of Earth's...
17. ### Min Plane Height to Drop Bomb in Hollow: 335m

A plane is flying 80km/h in horizontal direction and it has to drop a bomb into 30m wide and 30m deep hollow. What is the smallest possible height for the plane to fly above hollow if the bomb successfully hits the bottom? I made a mistake somewhere but not sure where... the correct result is...

Hello Guys! I'm studying radio waves and I can't understand the following: Radio waves propagates through Earths surface as a ground waves, line-of-sight waves or skywaves. There is a phenomenon that occurs with line-of-sight waves (and maybe with ground waves?) known as height gain, in which...
19. ### B Rebound Height vs Air Pressure: A Puzzling Relationship

Hi all I have a very quick question I'm trying to understand why a graph of Rebound height (m) vs Air Pressure (x axis) doesn't have a line of best fit which goes through the origin. I understand a basketball's bounce can be compared to the compression of a mass-spring system but then why...
20. ### A Projectile problem -- Time to reach 1/3 of the max height

Assuming it’s one body whose initial speed is u. First it attains height h then H. t1 and t2 are two times at which they attain h and H. ##h=ut1-\frac12gt1^2## ##H=ut2-\frac12gt2^2## ##\frac {t1}{t2}=1/3## Replacing t2 with 3t1, I am stuck.
21. J

### I Proof of average height of half circle

I need proof how find average height of half circle? Lets say pressure distribution is half circle with Pmax = radius,I must find average/resultant pressure..
22. ### Engineering Pump work required to reach a maximum reservoir height

The following image represents the system under analysis: Using a reference point 1 on the surface of the lower reservoir, point 2 at the discharge of the middle reservoir, and point 3 at the discharge of the upper reservoir, and assuming the pressure is equal to atmospheric pressure at all of...
23. ### Manometer -- determine height from relative pressure

The correct answer is 5.6m, not sure where I made the mistake.
24. ### Height of pendulum after hitting a peg

By considering conservation of energy, my answer is (B). But the solution states the answer is (A) Is it because there will be loss of some of the KE when the string hits the peg so making answer (A) is better than answer (B)? The question itself does not state about friction Thanks
25. ### B Measuring change in g with height (TV program many years ago)

Bit of a long shot but can anyone remember a TV program where the presenter measured the weight of something at ground level and compared it to the weight at the top of a tall building, possibly the Empire State building? Sorry I can't recall more details. Think it was at least 10 years ago...

41. ### Finding height in uniformly accelerated motion

First of all I have found the time taken by the first object to hit the ground back: ##\Delta t=2(\frac{v}{a})##. Then, by subtracting 2 seconds to this quantity, I get the time in which the second object has accelerated in free fall, with terminal velocity ##v=at##. Now, I find the distance...
42. ### Determining the minimum velocity when given height and length

Now I've tried looking at the problem like this. Considering that a is the length off the vehicles that he is trying to jump over I would consider that to be s. The plane from which he starts (b) should be the h. So considering that he is jumping from a horizontal plane, gravity should also...
43. ### I Perceived Height and actual height

Hi all, I want to calculate the perceived height of a number of mountains. I know the height and distance from one of the mountains. If the hieght of the mountain is 925 metres and the distance is 20000 metres away, is there a method of calculating the perceived height for this mountain and...
44. ### Spring Force vs Height on a Trampoline

There is a trampoline drawn here and a graph of the spring force vs height. I don't see why the spring force is decreasing at a decreasing rate with respect to height above trampoline. F= kx = k * h/sin(theta), letting theta be between the horizontal and the spring.
45. ### MHB What is the Height of the Washington Monument from a Distance of 1000 Feet?

From a point level with and 1000 feet away from the base of the Washington Monument, the angle of elevation to the top of the monument is 29.05°. Determine the height of the monument to the nearest half foot. Here is the set up. Let M = height of monument to the nearest half foot. tan...
46. ### Lifting height of a box in a truck going over a speed bump

hey guys need to know the way to find the solution to the problem. Consider a truck which is traveled in a speed of 60km per hour. A package weighs 50 kg is placed inside the truck with side supports to arrest the movement in x and y direction. But the top movement (z axis) is not arrested...
47. ### Maximum height a block reaches after separating from a curved moving ramp

Diagram attached at the endI personally think there's something wrong with this question, and I'd like if someone can tell me whether it's the question that is wrong or my approach. If I attempt the solution thinking that M should be stationary, the solution is simple. 0 - 1/2 mv^2 = -mgh...
48. ### Finding the maximum height of a projectile

Using the equations for constant acceleration, we can write the following set of equations for this problem: We have the following known physical constraints: Solving the above system of equations and constraints with a computer algebra system: So, all the solutions I found make...
49. ### I Why is 2.5 times the radius the minimum height needed to do a loop?

The height can be determined by conservation of energy (ignoring all friction). The mechanical energy when the car is at rest, equals the mechanical energy when the car is in the middle of the loop (at the top of the loop): E_{0} = E_{loop} \\ mgh_0 = \frac{1}{2}mv^2+mgh_{loop}...
50. ### CoM reduced by total body height when bending your knee X degrees

Lets say that a man with a standing height of 185cm bent his knee 30 degrees, how many centimeters will be reduced from his standing height? Assume his femur length is 60cm and his tibia (shin) length is 50cm. Can anyone give me a hint? I've tried to use trigonometry but i don't think i fully...