User blog:Mea quidem sententia/Nightmare and Gravity

In Super Metroid, Samus' shinespark and missiles travel at the same speed, although the missiles gain a boost in speed after about 1 second. For this reason, I will assume Samus' missiles travel at Mach 1.2, or 411.6 m/s.

In Metroid: Zero Mission, Samus' arm cannon is pointing outward horizontally. She's 1.98 m. I checked the pixels for Samus in MZM, so 1.98 m. is equal to 81 pixels. The bottom of the tip of Samus' arm cannon to the ground is 53 pixels.


 * 53 pixels / 81 pixels = 0.6543, or 65.43%
 * 1.98 m. * 0.6543 = 1.296 m.

With this in mind, I will use the equation, g = 2(viyt - Δy) / t², where g is gravity, viy is the initial velocity for the y axis, t is time, Δy is change in initial height divided by time squared. Because the initial velocity and time is 0, that will be ignored. I will begin with the distance Samus' missiles traveled under the gravity produced by Nightmare, which was 4.551 m.


 * 4.551 m. / 411.6 m/s = 0.0110568513119534
 * g = 2(1.296 m.) / (0.0110568513119534 s)²
 * g = 2.592 m. / (0.0110568513119534 s)²
 * g = 2.592 m. / 0.0001222539609346456 s
 * g = 21,201.7670444692484371206676 m/s

Samus' missiles, according to the official Metroid Prime Web site, can travel 3 to 10 m. I will use the same equation, the only difference now being the time it would take for Samus' missiles to travel 10 m. while traveling 411.6 m/s.


 * 10 m. / 411.6 m/s = 0.0242954324586978 s
 * g = 2(1.296 m.) / (0.0242954324586978 s)²
 * g = 2.592 m. / (0.0242954324586978 s)²
 * g = 2.592 m. / 0.0005902680383551466 s
 * g = 4,391.2253951999874861275618 m/s

Since I have the gravity for both, I shall divide them.


 * 21,201.7670444692484371206676 m/s / 4,391.2253951999874861275618 m/s = 4.83 g

In Metroid Fusion, Samus' missiles drop as soon as they're fired. I think it would be generous for me to say that Samus' missiles even travel 1 m. when she's fighting Nightmare in MF. Using the same calculation, I end up with the following.


 * 1 m. / 411.6 m/s = 0.0024295432458698 s
 * g = 2(1.296 m.) / (0.0024295432458698 s)²
 * g = 2.592 m. / (0.0024295432458698 s)²
 * g = 2.592 m. / 0.0000059026803835516 s
 * g = 439,122.5395199887798500124531 m/s


 * 439,122.5395199887798500124531 m/s / 4,391.2253951999874861275618 m/s = 99.99 g, or 100 g for simplicity sake.