Figurate numbers | Diophantine equations

Cannonball problem

In the mathematics of figurate numbers, the cannonball problem asks which numbers are both square and square pyramidal. The problem can be stated as: given a square arrangement of cannonballs, for what size squares can these cannonballs also be arranged into a square pyramid.Equivalently, which squares can be represented as the sum of consecutive squares, starting from 1. (Wikipedia).

Cannonball problem
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Flight of a cannonball, a simulation made with Excel

This is a story often repeated: in the middle ages people thought that cannonball follows a trajectory made of two straight lines, a sloped climb and followed by a vertical drop. True or not, this simulation shows how the person standing behind the cannon might get this impression. This is

From playlist Physics simulations

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Coding Math: Application 3 - Ballistics Part 3

This time we create an oscillating power meter that changes the force the cannonball is shot with. Support Coding Math: http://patreon.com/codingmath Source Code: http://github.com/bit101/codingmath

From playlist Application - Ballistics

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Physics 3.5.4g - Projectile Practice Problem 7

Practice Problem on Projectile Motion

From playlist Physics - Projectile Motion

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Problem #3 - Swinging Pendulum

Problem #3 - Swinging Pendulum

From playlist Bi-weekly Physics Problems

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Homemade cannon for school!!!

In this video i demonstrate a simple cannon and i explain with Newton' s laws and theory of conservation of momentum.

From playlist MECHANICS

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What is the displacement of a particle from a position graph

Keywords 👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of the particle by differentiating the function

From playlist Particle Motion Problems

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Basic Physics 3A. Lecture 25.

UCI Physics 3A: Basic Physics (Spring 2013) Lec 25. Basic Physics View the complete course: http://ocw.uci.edu/courses/physics_3a_basic_physics.html Instructor: Michael Dennin, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.ed

From playlist Physics 3A

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Momentum (1 of 16) An Explanation

This video gives a complete explanation of momentum. It also includes an example momentum problem. Momentum is a quantity of matter arising from its mass and velocity. The momentum of an object is directly proportional to its mass and velocity. Momentum is a vector quantity. Impulse is th

From playlist Momentum, Impulse, Inelastic and Elastic Collisions

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20. Boundary Value Problem 1

MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: William Green Students learned numerical methods to solve ordinary differential equation with boundary value problems. License: Creative Commons BY-NC-

From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015

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The Mathematics of Projectile Motion

Solving a projectile problem can be difficult. But it doesn't have to be. This video presents and explains the formulas and provides strategies for using conceptual understanding to reason towards solutions. You can find more information that supports this video on our website. Lesson N

From playlist Vectors and Projectiles Video Tutorial Series

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Only In America with Larry the Cable Guy - Up in the Air | History

At the circus, Larry learns what it takes to be a human cannonball - but there's one problem. He's afraid of heights. HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that connect viewers with history in an inform

From playlist Only in America with Larry the Cable Guy | History

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Projectile Motion

Projectile Motion is the branch of physics that studies how projectiles (bullets, cannonballs, arrows) move once fired. In the military, for example, projectile motion tells a soldier how far up to aim a cannon to hit a target. In basketball, if each player was a living calculator and coul

From playlist Fun

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Ask Adam Savage: Origin of "Well, There's Your Problem" on MythBusters

Adam answers questions from Nick Duckworth, Micah Bruce and Tony2Toes about who started "Well, there's your problem," safety lapses on set, and which MythBusters souvenir Jamie would want. Thank you Nick, Micah and Tony for your questions! These questions were answered during our Dec. 7 li

From playlist MythBusters-Related Videos

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Cosmic Cannonball - One of the Fastest Objects in the Galaxy

You can buy Universe Sandbox 2 game here: http://amzn.to/2yJqwU6 Hello and welcome to What Da Math! In this video, we will talk about RX J0822-4300 - the cosmic cannoball. Support this channel on Patreon to help me make this a full time job: https://www.patreon.com/whatdamath Space Engi

From playlist Universe Sandbox 2

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Practice Problem: The Mini-Golf Windmill

Who doesn't love mini-golf? Especially when you've got money riding on it, and especially when you've got some physics knowledge up your sleeve. Go ahead and impress your friends by getting through the windmill obstacle, thanks to a little bit of linear and rotational kinematics. Try all

From playlist Classical Physics Practice Problems

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Unity Tutorial | How To Create A Base Defense Game In Unity | Session 08 | #unity | #gamedev

Don’t forget to subscribe! In this Unity tutorial, you will learn to create a base defense game in Unity. In this tutorial, We'll be creating a Base Defense game from scratch using the Unity game development engine. Remember those good old Tower and Base defense games of old? Warcraft

From playlist Create A Base Defense Game In Unity

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Bearings and Trigonometry problem solving

Challenging A - A* bearings questions incorporating problem solving, angle facts and trigonometry.

From playlist bearings

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Can you solve the human cannonball riddle? - Alex Rosenthal

Practice more problem-solving at https://brilliant.org/TedEd -- They call you the human cannonball. Your act involves flying through rings of fire, bouncing through a trampoline course, and catching the trapezist in the grand finale. Today’s pre-flight test fails dramatically, and upon i

From playlist New TED-Ed Originals

Related pages

Leech lattice | Squaring the square | Sixth power | Diophantine equation | Triangular number | Square pyramidal number | Square triangular number | Édouard Lucas | Elliptic function | Figurate number | G. N. Watson | Square number | Tetrahedral number | Elementary proof | Close-packing of equal spheres