In relation to the second question, I don't understand why Blackjack had:
" F = - 0.5 * m / 350 * ( v<sub>i</sub><sup>2</sup> - 0.25*v<sub>i</sub><sup>2</sup>
= - 0.5 * 1600 / 350 * 0.75 * v<sub>i</sub><sup>2</sup>."
if velocity slowed to half the initial velocity, wouldn't it be:
F =...