## Complex Nozzles: Rocket Nozzle

It seems as though Fludd is never finished surprising the player with its capabilities, which is generally realized once the player finds the incredible attachments that provide different abilities.

The Rocket Nozzle is a Fludd attachment that launches Mario swiftly into the air with just water vapor. With this nozzle, Mario is able to achieve extreme heights and reach places he would otherwise not be able to reach. Since the nozzle works its magic quickly, and since it seems as if Mario reaches his maximum height in under a second, it leaves me wondering how many

To figure out whether the Rocket Nozzle attachment is safe for human use, I would first have to find out how high Mario is being launched in the air. From observing Mario while using the rocket nozzle, I noticed that he always just reached the green area of the tower-shaped building as shown in the above video. To find the height of the building, I used the information I already knew about its surrounding buildings.

The main building that was used in the gravity lab (18m) is shown near the red arrow below. Since the ground is elevated on the showing side of the building, I subtracted 4.5 m, the amount of elevation, and got the height of 12.5 m from the ground. Since the main building is 6 steps away from the green-tower building, I moved up 6 steps so that the red line would maintain the same value in the second picture, or so that the measuring distance between Mario and the measured building is the same in both pictures.

The green tower building, as demonstrated by the same red line after moving up 6 steps is roughly twice as tall as the main building from the back side, or about 25m tall.

The Rocket Nozzle is a Fludd attachment that launches Mario swiftly into the air with just water vapor. With this nozzle, Mario is able to achieve extreme heights and reach places he would otherwise not be able to reach. Since the nozzle works its magic quickly, and since it seems as if Mario reaches his maximum height in under a second, it leaves me wondering how many

*g’s*of force Mario would have to experience for this to happen.To figure out whether the Rocket Nozzle attachment is safe for human use, I would first have to find out how high Mario is being launched in the air. From observing Mario while using the rocket nozzle, I noticed that he always just reached the green area of the tower-shaped building as shown in the above video. To find the height of the building, I used the information I already knew about its surrounding buildings.

The main building that was used in the gravity lab (18m) is shown near the red arrow below. Since the ground is elevated on the showing side of the building, I subtracted 4.5 m, the amount of elevation, and got the height of 12.5 m from the ground. Since the main building is 6 steps away from the green-tower building, I moved up 6 steps so that the red line would maintain the same value in the second picture, or so that the measuring distance between Mario and the measured building is the same in both pictures.

The green tower building, as demonstrated by the same red line after moving up 6 steps is roughly twice as tall as the main building from the back side, or about 25m tall.

Next, I tested to see how long it took for Mario to reach his maximum height (where he is also at rest). I obtained the following times:

.8 sec

.7 sec

.8 sec

Average: .77 sec

Using the equation: X = Xo + Vot + ½at2 , I was able to solve for the acceleration.

X = Xo + Vot + ½a(.77)^2

25 = 0 + 0(t) + ½a(.77)^2

25 = ½(.77)2a

25 = .296a

Acceleration = 84.46 m/s^2

As our physics class has learned from previous lab handouts, the maximum force a person can withstand in the vertical direction is about 4.5

.8 sec

.7 sec

.8 sec

Average: .77 sec

Using the equation: X = Xo + Vot + ½at2 , I was able to solve for the acceleration.

X = Xo + Vot + ½a(.77)^2

25 = 0 + 0(t) + ½a(.77)^2

25 = ½(.77)2a

25 = .296a

Acceleration = 84.46 m/s^2

As our physics class has learned from previous lab handouts, the maximum force a person can withstand in the vertical direction is about 4.5

*g'*s. 84.46 m/s2 however, is about 8 and a half*g*’s! Mario should not be able to withstand this much acceleration, for he would be crushed! According to Six Flags’ website, their famous roller coaster, the “Kingda Ka” gets the rider moving from 0 to 128 miles/hour (57.2 m/s) in 3.5 seconds. This means that its acceleration is 57.2/3.5 = 16.34 m/s^2, or about 1.7*g'*s. For one to ride the Kingda Ka requires him to have guts, for an acceleration of almost 2*g'*s is pretty scary! With that in mind, Mario is accelerating at 8.5*g'*s, not 1.7*g'*s, so he is accelerating much faster than the Kingda Ka in the vertical direction. For Mario to operate the rocket nozzle in such a relaxed state of mind is incredibly unlikely, for the vertical jolt from the acceleration would be incredibly overwhelming.## Complex Nozzles: Turbo Nozzle

The Turbo Nozzle is similar to the Rocket Nozzle, but supplies a force in the horizontal direction, rather than the vertical direction. Because Fludd shoots the water out the back, it makes sense that the equal and opposite reaction propels Mario forward, which it does. The one major flaw I realized however is that if Mario is in the air while the nozzle initially starts, the equal and opposite force does not appear to be present until he lands. After the force kicks in upon landing, any later jumps Mario performs has the Turbo Nozzle's force present. As demonstrated in the above video, the nozzle turns on while he is in the air, and shoots water out the back, but Mario's position in the air is unaffected. Upon landing is when Mario experiences the equal and opposite force, which is still present during future jumps. Notice how when Mario jumps while the Turbo Nozzle is active, his horizontal velocity does not change; only his vertical velocity does, which is exactly what

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