Simple Harmonic Motion (Edexcel A-Level Further Mathematics): Quizzes

Resistance proportional to velocity

$c^2 < 4mk$

Without oscillating, as quickly as possible

$c^2 > 4mk$

$e^{-\alpha t}(A\cos(\beta t)+B\sin(\beta t))$

$(A + Bt)e^{-\frac{c}{2m}t}$

$x(t) = x_c + x_p$

Solution to homogeneous equation

Solution to non-homogeneous equation

Complex roots