How much is time slowed? A M&M mathematics question

[ExtravagantEvil]

Hey, I need help with something, I'm GMing a Mutants and Masterminds game, and I need help with calculating something. A PC has Time Control 6, and I need to know how much that would slow time down on a mathematics basis, seeing as how his mph is raised from 3 miles per hour to 500 mph (30 feet to 4400 feet per round).

[Aroka]

He's achieving in 1 round what he'd usually achieve in 146.66. He's acting 146.66 times as fast as everyone else. So one second real time is now 2 min 26.66 sec subjective time (or one hour real is 6 d 2 h 40 m subjective). One minute of subjective time is 0.4 seconds real time.

Edit: Somebody check my math/logic, though, because I am barely awake.

[Siosilvar]

...division?

He moves almost 150 times faster than normal.

[ExtravagantEvil]

Ok, thats what I tried initially, wasn't sure as to wither it was correct. Thank you.

[Douglas]

3.14159265358979323846264338327950

You're missing a few digits in the middle there (specifically, the ones in bold).

[ExtravagantEvil]

How did you determine that Aroka? I may want the algorithm for later, it would be helpful, and to the fellow who ninja'd me: I've been told before, thank you, I have memorized accordingly, just don't want to (and don't remember how) to change my sig.

[Heliomance]

Hey, I need help with something, I'm GMing a Mutants and Masterminds game, and I need help with calculating something. A PC has Time Control 6, and I need to know how much that would slow time down on a mathematics basis, seeing as how his mph is raised from 3 miles per hour to 500 mph (30 feet to 4400 feet per round).

Uh, what? If 30 feet per round is 3 miles per hour, surely 4400 feet per round is 440 miles per hour, not 500.

[Math_Mage]

How did you determine that Aroka? I may want the algorithm for later, it would be helpful, and to the fellow who ninja'd me: I've been told before, thank you, I have memorized accordingly, just don't want to (and don't remember how) to change my sig.

Go to your user control panel. 'Edit Signature' should be in the upper left.

As for the algorithm, just compare the amount of action normally taken to the amount of action taken in the Time Control field. If he can move 500 miles in 1 hour 4400' in 1 round when normally he'd be moving 3 miles 30', then he's moving 4400/30 ~ 146.666... times as fast. So for every round other people take, he takes 146 and change.

EDIT:

Uh, what? If 30 feet per round is 3 miles per hour, surely 4400 feet per round is 440 miles per hour, not 500.

30'/rd = 5'/sec ~ 3.3 mph.
4400'/rd ~ 730'/sec ~ 490 mph.

[ExtravagantEvil]

Uh, what? If 30 feet per round is 3 miles per hour, surely 4400 feet per round is 440 miles per hour, not 500.

Well, I'm using the math found in the 2ed Core book of M&M, it says basically
(500 x 5280)/600 = 4400ft per round. and technically, 30ft per round would be 3.4 mph, I use the precise method (ft per round x 600)/5280

Edit: Another helpful thing would be finding some new speeds of beings in this time control status, i.e. other people, bullets, etc., etc, because everything else will obviously be going slower (he's manipulating time to move faster, so obviously everything is moving perceivably slower), through my math, I ended up witht the result of people moving 2 inches per round (or there abouts).
equation:
3.4/146.66 = .02
.02 x 5280/600 = .176ft
.176ft x 12 = 2.112 inches

[ExtravagantEvil]

I can forsee this dropping away so...
BUMP!

[Aroka]

How did you determine that Aroka? I may want the algorithm for later, it would be helpful, and to the fellow who ninja'd me: I've been told before, thank you, I have memorized accordingly, just don't want to (and don't remember how) to change my sig.

4400/30 = 146.6666... (that's 146 and 2/3).

So X/Y = Z, where X is his speed while using Time Control, Y is his speed without Time Control, and Z is the factor of his "fastness" (ugh).

That means... A*Z = B, where A is the amount of real time and B is the amount of subjective time. And therefore B/Z = A.

So if A is 1 second, B is ~146.67 seconds. If B is 1 second, A is 0.0068... seconds.

I don't remember at all if you actually get to act more per round with Time Control (I actually sort of hope not, since it would be heinously unbalanced; I assume it's abstracted into improved speed etc.?), but technically a 6-second combat round would be 879.9999... subjective seconds, or 14 min 40 sec.


So, to get the new effective/apparent/subjective speed of anything, just divide it by 146.66666...

Sound now travels at ~7.67 feet/subjective second. (And, incidentally, a double move will be supersonic, at Mach 1.3; a x4 run would be Mach 2.6.)

Bullets will mostly be travelling somewhat slower or faster than that, from around 5 ft/s to around 10 ft/s (an apparent ~7 mph). Reacting to bullets shouldn't be a problem, therefore - they're much slower, subjectively, than running people, objectively.

People moving 30 ft/round are moving about 0.2 feet/subjective round (that's 2.4 inches). Multiply that by 2 or 4 as appropriate for double moves and running...

[kpenguin]

Rather than calculate the amount Time Control slows down by Speed, which requires you to do all sorts of math, why not look at the Quickness it grants? Time Control 6 grants Quickness 6, which allows the character to do things 100x quickly. Reasonably, this means that the character is slowing down time 100x... at least for the purpose of actually doing things other than run.

[Aroka]

Yeah, like I indicated, I assume it's all abstracted. Speed for movement, Quickness for non-combat actions, and you still only get one round to each round of combat. Getting 146 attacks to every 1 someone else get would just be stupid overpowered. (See also: why the power that lets you create copies of yourself is not to be allowed for PCs.)