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.
I am having a hard time figuring out the step in the equation. For an example, I was given a problem that water flows from the bottom at a velocity of 5.0m/s up to a bucket at (unknown) height. The hose radius is the same so it is not given.
Known:
V_1=5.0m/s
Density p= 1000kg/m^3
Gravity=...
Homework Statement
a baseball player hits a home run. The ball's velocity as it leaves the bat is 45m/s at an angle of 36.9° above the horizontal. At the point of impact with the bat, the ball is 1 m above ground level, and as it clears the fence it is back down to 11 m above ground level...
URGENT: Finding Mechanical Energy, Velocity, and Height
Homework Statement
http://www.mrfizix.com/home/energy_files/image051.gifHomework Equations
E0=EF
PE=mgh
KE=(1/2)mv2
The Attempt at a Solution
I understand how to get the potential and kinetic energy values but I'm confused as to how to...
Pre-requisite: Protractor
Requirement: Both the measurers and the object should be perpendicular to the ground
One-Person Method: Find point A, the point whose vertical distance to the ground you want to measure. If you're measuring the height of an object, this will be the top of the...
Homework Statement
Good day to all,
I have been given a problem in statics, ore specifically a system that is in equilibrium, but a system I am having some trouble with. I have attached (in pdf) the problem's context and the free body diagram I have drawn.
The data we are give are as...
[b]1. Homework Statement [/b
]Here’s what you know: Mass is 750 Kg, Velocity is 20 m/s, Gravity remains at 10 m/s2 and Point B’s height is 15 m. Assume that Point A is the highest point and assume there is no friction for this problem.
Complete in the order that makes the best sense to...
Hey everyone!
I have been asked to find an equation with the subject of V (initial speed) with only the information given, angle above horizontal, range, and initial height above ground. I did attempt this myself and got the formula:
v = initial speed
θ = initial angle
s = range (total)
h =...
Homework Statement
Given a binary search tree that contains n nodes with keys 1, 2, 3, ... , n.
In what order should the keys be inserted into the binary search tree to obtain a tree with minimal height?
Homework Equations
Binary search tree algorithm.
The Attempt at a Solution...
I'm under the impression that this takes special equipment? We're talking centimeter precision by the way. Shouldn't I be able to get this from some App by now?!
Homework Statement
Identical resistors, R, make up the legs and rungs of a resistive ladder of infinite height. Find Req (equivalent resistance) of ladder, measured between points A and B.
Homework Equations
The Attempt at a Solution
Here's my thought process:
First make all...
I'm trying to solve a seemingly basic question but it seems to be taking me towards some advanced dynamics that is over my head. Any help would be appreciated. (If it matters, this is not a homework problem - I am simply curious about the answer and how to solve it.)
Homework Statement...
Homework Statement
The Attempt at a Solution
I used conservation of momentum for the initial velocity of mass 2, and conservation of mechanical energy for the movement from rest to highest position, KE=PE.
The answer that I received is selected in the screenshot. However, when the...
Homework Statement
A cannon ball is fired with a velocity of 30m/s at an angle of 35° from the top of a cliff. The height of the cliff is 50m. Calculate total time of flight of the cannon ball before it hits the ground.
v_o=30m/s
\alpha=35°
g=10m/s^2
Homework Equations
The...
Homework Statement
Please see picture attached.
Homework Equations
The Attempt at a Solution
If I use the pythagoras formula with the ratio I get the height as 3 yet it is longer than the side that is 4. Am I doing something wrong? Thanks.
Homework Statement
ball thrown horizontally from roof of building 55.0m tall and lands 29.7m from the base. find balls initial speed
Homework Equations
(√acceleration/[√2*55] ) * 29.7=8.86
The Attempt at a Solution
(sqroot acceleration/[2*55] ) * 29.7=8.86
the answer is...
Homework Statement
A student standing on top of a cliff drops a rock down below into the water and hears it splash 3 seconds later. The speed of sound is 330m/s, what is the height of the cliff
Homework Equations
v= d/t
v2 = v1 + at
d = v2-1/2 at2
d = (v1 + v2)t
v2 squared = v1...
Homework Statement
http://www.scribd.com/doc/82645310
In Figure 3-31, the lines AB and CD are the center lines of two conduits 1 ft. and 2 ft. in diameter respectively. Determine the maximum value of z so that the two may pass without interference. Conduit CD must pass under AB...
Homework Statement
http://www.scribd.com/doc/82645310
In Figure 3-31, the lines AB and CD are the center lines of two conduits 1 ft. and 2 ft. in diameter respectively. Determine the maximum value of z so that the two may pass without interference. Conduit CD must pass under AB.
Homework...
Homework Statement
i need to find the work of gravitational attraction based on heights of balls being shot into the air. the mass of the ball is 24 grams, the height is 27cm at 0 degrees, 38 at 30 degrees, 50 at 45 degrees, 61 at 60 degrees, 80 at 90 degrees.
i also need to find the initial...
Homework Statement
A ball of mass 0.5kg is dropped from a height of 5m what is the greatest velocity it will have just before hitting the ground?
Homework Equations
f=m*g
a= change in velocity/change in time
The Attempt at a Solution
m=.5kg
h=5m
a=9.8m/s
f=m*g
f= .5*9.8=...
Homework Statement
a golf ball is shot from a height of 6.5 ft above the ground at an angle of 45° above the horizontal. The ball lands 39 ft and 3 inches downfield. Assuming ideal projectile motion find:
a. Initial velocity
b. flight time
c. maximum height
Homework Equations
r =...
Homework Statement
As you look out of your dorm window, a flower pot suddenly falls past. The pot is visible for a time t, and the vertical length of your window is Lw. Take down to be the positive direction, so that downward velocities are positive and the acceleration due to gravity is the...
At the top of a "frictionless" loop that is 75 cm high, a 75 Kg ball bearing is traveling at 1.9m/s. From what height was the ball released?
I have absolutely no Idea where to start here.
Diameter= 0.075m
Velocity=1.9m/s
Force related to Gravity=0.74N
m=0.075Kg
Homework Statement
Thank you first off for your help. Currently, I am working on a lab for my University Physics class and I am lost on how to do this integration. We weight (from a scale) and time measurements going up and down in an elevator. Using that data we are supposed to get the...
A FAQ is why the spacetime interval has a minus sign.
A geometrical answer is that the interval is always the shortest path (the straight line) between two points. If we talk about spatial points, that interval is the hypotenuse of a right angle triangle, whose sides are the projections of...
Last problem I can't get around..
Homework Statement
A ball is thrown upwards at some velocity. 2 seconds later the ball is caught 10m up on a building. What is the highest possible height of the ball?
Homework Equations
X_f=x_i+V_x(t)-(1/2)(9.8m/s^2)t^2 (where X_f=10)...
Hi all,
I am quite new to the topic of solitary waves. All I know is that somehow equations like the KdV equation give solutions to predict the behaviour of solitary waves.
I have read in a couple of places that the velocity of the wave is proportional to the wave height. I am wondering...
Homework Statement
A roller coaster starts at rest from a height of 110m and accelerates down the track to a height of 10.0 m. Find the speed it can each, assuming there is no friction
Homework Equations
Eg = mgh
v = sqrt(2Ek/m)
The Attempt at a Solution
Honestly I'm not sure...
Homework Statement
An open ended can, with height 0.3m is filled with air (P = Patm ~ 100kPa) and is submerged (open end downward) 3 metres below the water surface (bottom of can 3m below while top of can is 2.7m below). The pressure above the water's surface is also Patm. The air is...
Homework Statement
During the first 50 s of a rocket's flight, the rocket is propelled straight up, so that in t seconds its height s is s(t) = t^3/sqrt 10 ft.
a) How high does the rocket travel in 50 s?
b) What is the average velocity of the rocket during the first 50 s?
c)What is the...
Homework Statement
A frustum of a right circular cone with height h, lower base radius R, and top radius r. Find it's volume.
Homework Equations
We are currently learning the Method of Washers and the Method of Cylindrical Shells so I believe we are supposed to use this somehow.
The...
If I wanted to make a graph of height versus time for an object under the effects of air resistance av+bv^2 and thrown with a given initial speed, how would I go about doing that? I was also hoping to get a y versus x graph for a projectile under the same drag, but I presume I could find x...
Homework Statement
If you toss your little cousin straight up into the air at 5 m/s, how high above your hands will he/she go?
0.5 m
1.3 m
2.0 m
70 m
Homework Equations
d = (0-5^2) / 2 (-9.8)
d = 1.3 m
The Attempt at a Solution
My cousin will fly 1.3...
Homework Statement
Starting from the barometric formula for a thin, isothermal atmosphere, show that the ratio of the pressure P(z2) at height z2 to the pressure P(z1) at height z1 is given by
P(z2)/P(z1) = e(-(z2-z1)/y) where y is the scale height
Homework Equations
Barometric formula: P(z)...
Homework Statement
A person standing on a bridge overlooking a highway inadvertently drops an apple over the railing just as the front end of a truck passes directly below the railing. If the vehicle is moving at 55km/h and is 12m long, how far above the truck must the railing be if the...
Homework Statement
It’s your lucky day! You have been chosen by NASA to be the astronaut for its first
intergalactic expedition. In your excitement for the mission, however, you forgot to read
the road map and you have no idea where your spacecraft landed. Your intimate
knowledge...
I know, I'm an absolute idiot for even letting that happen but it did. It fell off the sofa armrest accidentally (why would I want to throw it anyway? also, the armrest is larger than most) and quite surprisingly, there doesn't seem to be any noticeable damage to it. The webcam seems fine too...
Hey,
I came across this question in my textbook, and there isn't an answer for it in the back, so I would just like to check if I have my head around it.
The question is:
2 projectiles are launched at the same angle. Projectile 1 reaches a max height of twice that of the projectile 2. What...
EDIT: I figured it out, the time data was wrong for the trial. redid it with the correct 0.95s and got 1.5m peak height which seems right. :D
Homework Statement
In my physics class we made a miniature trebuchet (the axle is 50cm off ground) and part of the lab report is to calculate the peak...
a 59 kg pole vaulter falls from rest from a height of 4.7 m onto a foam rubber pad. the pole vaulter comes to rest 0.34 seconds after landing on the pad. calculate the athlete's velocity just before reaching the pad. calculate the constant force exerted on the pole vaulter due to the collision...
Hardhats are tested by dropping a 3.63 kg steel ball (free fall) from a height of 1.52 m and allowing it to impact the top of the hardhat. Hardhats are impacted with an impact velocity of 5.5 mps. The hardhats are supported at four locations where they are connected to a circular band that...
Homework Statement
A ball is thrown upward.
What is its maximum height? Its initial
vertical speed is 10.8 m/s and the acceleration
of gravity is 9.8 m/s^2
Neglect air resistance.
Answer in units of mHomework Equations
dfinal=dintial+vfinalΔt+ 1/2averageaccelerationΔt^2 or...
Homework Statement A basketball player achieves a hang time of 0.978 s in dunking the ball.
What vertical height will he attain? The
acceleration of gravity is 9.8 m/s^2
Answer in units of mHomework Equations
?
The Attempt at a Solution 9.8/0.978^2= 10.245
Homework Statement
Homework Equations...
1. Homework Statement
A block given an intial velocity of 2m/s up a frictionless inclined at 60 degrees to the horizontal. What is the highest point reached by the block?
2. Homework Equations
gsin(θ)=a
a=v/t
d=vit + 1/2at^2
3. The Attempt at a Solution
Found vx = vsin60=...
Homework Statement
A 50-kg object was dropped from a height of 2 meters from water level of tank. The open water-tank has a hole 3 meters below water's surface. area of water tank is 1.5 sq m and diameter of hole is 2 sq mm. What is the max speed of water exiting the tank if the mini impact...
We solved this in class 4 months ago but I just can't remember the solution, or even where to start. I remember rearranging an equation. If an object is dropped from a height and it takes T seconds to hit the ground, how long will it take if dropped from four times the height?
Possible...