Force

The potential energy is given by the function U(x)=kx⁻¹, where k is a constant, and variable x is the position, the coordinate. Derive the function of the coordinate x, which describes the force produced by this potential energy.

F(x)= - d U(x) / dx

F(x)= - d kx⁻¹ / dx = kx⁻²

F(x)= kx⁻²

Acceleration aₓ varies with time as shown in the figure

A car moving in the x direction has acceleration aₓ, that varies with time as shown in the figure. pic.twitter.com/xLnJUtQIyp

— Physics I (@PHY210) September 28, 2016

Vector Sum

It is an exercise for the development of intuitive, visual understanding of vectors and their properties, and, at the same time, for the development of eye estimation. Add up together the six vectors shown on the diagram. Find the order number of the spot pointed by the sum vector? The beginning point (tail) of the sum vector is located at the 0 spot. Beginning points (tails) of the initial vectors are located at 0 spot too.
Задача на развитие интуитивного, образного понимания векторов и их свойств и, одновременно, на развитие глазомера. Сложите шесть изоброженных радиус-векторов. Найдите номер пятна, который достигает голова вектора-суммы. Начало вектора суммы, как и исходных векторов, расположено на пятне с номером 0?

Math Tutor

#Tutor #MathTutor #PhysicsTutor #CalculusTutor #CalculusBasedPhysics #AlgebraBasedPhysics https://t.co/X6j6OVMRi0 pic.twitter.com/SIuFnY3kFP

— Растырком Rastyrcom (@rastyrcom) July 15, 2016

Find a function f(x₁,x₂) with the following properties. Найдите функцию f(x₁,x₂), обладающую следующими свойствами.

Quiz Problem

Try to change the question sign by using one mathematical symbol in order to obtain a strict correct equality.

Flower Problem

Olympia Education Center

SunSet‬ - Заход Солнца

Math Problem

Brooklyn

#street #buildings #sky #evening #улица #здания #небо #вечер

A photo posted by Vasiliy S. Znamenskiy (@znamenski) on Apr 30, 2016 at 4:31pm PDT

Brooklyn