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Please note: knowledge of the SUVAT equations, friction and trigonometry is required for this thread. Energy comes in many forms, and here we will focus on kinetic energy (KE) and potential energy (PE). Belo...

A Tree Diagram is a useful tool to calculate probabilities. By drawing a "Tree Diagram" and writing down all possible outcomes, it is very easy to calculate simple probabilities by moving through t...

To solve differential equations we use a method called separation of variables. This is where we take all the ‘y’ values to one side of the equation and all the ‘x’ values to the other side of the equation m...

Let f(x) = x^3 - 6x^2 + 11x - 6. Try x = 1： f(1) = 1 - 6 + 11 - 6 = 0 So x - 1 is a factot of f(x). Try x = 2： f(2) = 8 - 24 + 22 - 6 = 0 So x - 2 is a factot of f(x). Try x = 3： f(3) = 27 - 54 + 33 - 6 = 0 ...

First, we need to recall 2 basic definitions of vector operations: The dot product is defined on vectors u =[u 1 , u 2 ,...u n ] and v =[v 1 , v 2 ,..., v n ] as u . v = u 1 v 1 +u 2 v 2 +...+u n v n The len...