Cambridge Maths Academy

Further mechanics 1 Table of contents Momentum = Linear momentum Units First example Impulse The impulse-momentum principle More examples Exercise 1A 1. Momentum = Linear momentum The momentum $p$ of a body of mass $m$ which is moving with velocity $v$ is: $$ \boxed{ \begin{align} \textrm{momentum} &= \textrm{mass} \times \textrm{velocity} \\ p &= mv \end{align} } $$ Mass is a scalar and velocit..

Core pure mathematics 2 Table of contents First example Arbitrary constants = constants of integration Linear and non-linear differential equations Finding the general solution with the auxiliary equation More examples Exercise 7B 1. First example A second-order differential equation contains second derivatives. Example 1. Find the general solution to the differential equation $$ \begin{align} \..