What is the initial speed of the water

AI Thread Summary
The discussion focuses on calculating the initial speed of water in the world's highest fountain, which reaches 560 feet. To determine this speed, the equations of motion are applied, considering gravity's effect on the water's ascent and descent. The initial speed can be derived from the formula v^2 = (v0)^2 - 2gd, where g represents gravitational acceleration and d is the height. It is noted that the speed of the water varies due to gravitational influence. Understanding these principles is essential for accurately calculating the initial speed of both the fountain water and an object thrown to the same height.
swatmedic05
Messages
42
Reaction score
0
The world's highest fountain of water is located, appropriately enough, in Fountain Hills, Arizona. The fountain rises to a height of 560 (5 feet higher than the Washington Monument).

What is the initial speed of the water
 
Physics news on Phys.org
what would be initial speed of the ball someone throws to a height of 560 feet?
 
total distance/total time
 
That would be average speed. Speed of water isn't same all the time, it's slows down because of gravity. Distance moved with constant acceleration is:
d = v0*t-1/2*a*t^2, v0 is initial speed, a - a negative acceleration and t -time. Speed is:
v = v0 - at. You can solve those two equations for initial speed, and get:
v^2 = (v0)^2 - 2gd
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

A ball is thrown w/initial speed vi at an angle 𝜃i with the horizontal
Replies
5
Views
1K
What variables affect the height of a Heron's fountain?
2
Replies
74
Views
15K
Finding the Initial Velocity for a Projectile Launched from a Height of 150ft
Replies
9
Views
6K
Calculating Wave Amplitude & Wavelength in Water Pools
Replies
3
Views
2K
Need help solving a tricky projectile motion problem
Replies
11
Views
2K
Projectile Motion Problem Involving Initial Velocity and Gravity Only
Replies
11
Views
1K
Calculating Pump Power and Fountain Height from Water Ejection Speed
Replies
20
Views
4K
Bernoulli's equation and water exit speed from tank opening
Replies
29
Views
5K
What Was the Initial Speed of the Proton in a Collision?
Replies
2
Views
3K
Space elevator minimum initial speed
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top