Successive Collisions with a Surface (Edexcel A-Level Further Mathematics): Flashcards

Remains unchanged

$v_{\perp, \text{after}} = -e v_{\perp, \text{before}}$

$0 \leq e \leq 1$

$h_n = e^{2n} h_0$

$v_{\perp, n} = (-e)^n v_{\perp, 0}$

No impulse in tangential direction (smooth surface)

$\mathbf{v} = \mathbf{v}_\parallel + \mathbf{v}_\perp$

$v_\text{rebound} = e v_\text{impact}$

$\Delta KE = KE_\text{initial} - KE_\text{final}$

$v_\perp = -e u_\perp$