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Calc Animorphs - Spaceship speed calcs

Calculations
Saw an Animorphs debate that had some surprisingly impressive feats for Animorphs. Note that I don't really know the complete context, I just feel like calcing the feats. Because why not?

1. Andolite fighter reaches one-tenth the speed of light.
The Andalite Chronicle said:
It hadn't even occurred to me that Arbron would actually want to take the risk of shooting. But then he said, <So, Elfangor, how about if we just see how fast this old tub will accelerate?>

I didn't need to be asked twice. I punched up Maximum Burn, and we went to one-tenth light speed in about three seconds!

<Yaaaahhh!> WHAM!

<Yaaaahhh!> WHAM!

The acceleration was outrageous! The compensators were slow and we were thrown back against the bulkhead.

I fought to get back on my feet and to the con-trols. I renewed my thought-speak link to the cornputer. <Boost the compensators!>

The computer adjusted and we climbed painfully to our feet. Arbron reached his weapons station and took aim. I heard the hum of the shredder powering up, followed quickly by the sound of firing. Hmmmm. TSEEEEWWW!
This one does itself; 10% C.

2. Skrit Na in-atmosphere speed
The air speed gauge now showed two thousand twenty miles per hour. The hull was blistering hot from the air resistance. <Wait a minute! Bug fighters are slow in atmosphere, right? They can't handle the heat. We can! So far, at least. We're doing better than two thousand miles per hour. We're faster than they are in atmosphere!>

<You're going to try and outrun them in the atmosphere?>

<You have a better option?>

<We have a second Bug fighter on us!> Arbron answered. <Two more launching!>

<We're going to the grass,> I said, hoping I sounded more confident than I felt. <I'll need direct vision. Real time, real aspect. Open a window.>

Arbron played his console, and suddenly the panel in front of me became a window. I could see the superheated air, blazing around the ship.

I nosed the stubby, round ship down. As we dropped we picked up speed. <Passing three thou-sand miles per hour!>

Down, down, down at over three thousand mph!
The brown dust of the Taxxon world leaped up at us.

Spacecraft are designed for the almost total vac-uum of space. Usually they are barely functional in atmosphere. But the Skrit Na were scavengers who went from planet to planet, kidnapping and stealing and performing their inexplicable medical experiments. So they needed ships that could handle atmosphere.

But nothing is really designed to do three thousand miles an hour in atmosphere. Let alone fifty feet off the ground.

We had been seven miles up, right at the outer edge of the Taxxon atmosphere. We dropped back down to ground level in five point eight seconds.

<Yaaaaahhhhhh!>

<Yaaaaahhhhhh!>

We both screamed in a mix of utter terror and shocking excitement. Let me tell you something: Millions of miles an hour in empty space is nothing compared to three thousand miles an hour going straight for the ground.

<Pull up! Pull up! Pull up!>

I pulled up, as the collision warnings screamed in the Skrit Na language.

We blew across the Taxxon desert, trailing sonic booms that must have sounded like nuclear explosions going off in our wake.

<Can you get the Bug fighters on visual?> I asked.

<On screen!>

I saw two Bug fighters racing after us, one behind the other. Their hulls glowed bright with friction heat. But they weren't backing off.

<Fine,> I muttered. <Let's see who's faster.> I raised the burn and felt a slight lurch as the engines pushed harder still.


<Three thousand two hundred miles per hour,> Arbron reported. <Three point three K. Three point four K. Hull temperature is . . . you don't even want to know. Three point five K.>

Three thousand five hundred miles an hour. The ground was a blur. We were a blazing meteorite. We were an arrow of flame as we shot across the Taxxon world at impossible speeds. The scruffy bushes and stunted trees of the Taxxon world burst into flame as we passed over. We were drawing a line of fire around the planet!

<Pull up!> Arbron yelled.

Mountains rose up like a wall. <Where did they come from?!> I cried as I pulled up, straining every atom in the Skrit Na ship.

The ship bucked like a dying beast in its final agony. But we climbed. Up . .. up . .

<Are we going to clear?>

Before I could answer, we shot over the mountain wall. I swear I heard the bottom scrape as we cleared the height.

Unfortunately, the Yeerks knew the local topography. They'd been ready for them. They had adjusted easily and had gained on us.

TSSSSEEEEWWWW!

A red Dracon beam lanced past us, missing by inches. They were close enough now to shoot.

We were approaching the dividing line between night and day. I could see it rushing toward me.

Suddenly, out of the corner of my eye, I saw the lead Bug fighter simply explode! The air friction had finally worn down its compensators and the craft had burned to a cinder in a split second.

<Yah- hah! One Yeerk fried!> I exulted .

<Elfangor, we're next if we don't slow down,> Arbron warned.

<There are still three Bug fighters on our tail,> I said.

<We are about five minutes away from burning up,> Arbron said. <Can you guarantee those Bug fighters will cinder before we do?>
A Skrit Na ship escapes some Yeerk ships by flying through the atmosphere of a planet, where one has to deal more with atmospheric drag. The highest speed reached is three thousand five hundred miles an hour, or 1564.64m/s.

T = 1564.64/340.29
= Mach 4.59796056

3. Blade ship flies several thousand miles in seconds
The Andalite Chronicle said:
We didn't have to wait long. The Blade ship fired up its engines and leaped forward. It ate up the few thousand miles in seconds.
The Blade ship flies a few thousand miles in seconds. For our estimates, a few is more than a couple, so we'll use 3000 miles (or 4828.032km) and 3 seconds as our low end, and 9000 miles (14484.096km) and 9 seconds as our high end .

(Low low end)
T = 4828.032km/9s
= 536448/340.29
= Mach 1576.44362

(High low end)
T = 4828.032km/3s
= 1609344/340.29
= Mach 4729.33086

(Low high end)
T = 14484.096km/9s
= 1609344/340.29
= Mach 4729.33086

Which is exactly the same as the one before it.

T = 14484.096km/3s
= 4828032/340.29
= Mach 14187.9926

Final Results
Andolite fighter accelerates to one-tenth the speed of light = 10% C
Skrit Na in-atmosphere speed = Mach 4.598
The Blade ship traverses thousands of miles in seconds (low end) = Mach 1576.444
The Blade ship traverses thousands of miles in seconds (mid end) = Mach 4729.331
The Blade ship traverses thousands of miles in seconds (high end) = Mach 14187.993

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