NERDS!!!

“Screw your fancy math, sun demon! I’m never going to need this shit in real life!”

[REDACTED]

lol I just noticed how fed up Moonie looks, somepony had a hard time on their Maths exam back in High School.

This is cool, just as long as you don’t bring in Dark Souls’ umbrellas Arrows.

pi/3

@Background Pony #C1CB  
A score or a barrage?

@Crusier
 

 
@Background Pony #C1CB
 

 
@thps48
 
Click picture below
 

@Background Pony #D7C3  
I’ll have the Spam, spam, spam, spam, spam, spam, baked beans, spam, spam, and spam. :3
 
(I’ve not committed to memory very many Monty Python jokes. Apologies. X3 )

Is it an European or an African arrow?

the anther is: many arrows will hit Celestia very soon.

@WolfmotherFan  
Bless you sir for being good at math, you happening to pass by here, and solving all this when you REALLY didn’t have to.

@WolfmotherFan  
mfw  

This looks unrealistic for a scenario but, realism aside, the function looks like it will form a parabola. Like this:
 

 
The problem though is that this already doesn’t make sense, so this is probably where the “evil” part is coming from. Because doing the problem the way it’s written seems impossible.
 
Using -16t^2 instead of 16t^2 will flip the parabola vertically as shown here:
 

 
and the other parts of the function (like the +192t) will move the parabola into the positive numbers, which will make the parabola look like this:
 

 
Average rate of change sounds like the slope is going from one point to another, but it’s not constant because of the parabola. This is probably where the t=1 and 2, t=10 and 11 comes in.
 
Plugging in those numbers will get the values for y, since f(x) is basically the y (or h(t) in this case). t would be the values for x.
 
By plugging in h(1)=-16(1)^2+192(1), it produces 176. Likewise, with h(2)=-16(2)^2+192(2), it produces 320.
 
Plugging in h(10)=-16(10)^2+192(10) will produce 320 and h(11)=-16(11)^2+192(11) will produce 176 once again.
 
With these results, the numbers can be seen on the parabola as (1,176), (2,320) for t=1 and t=2, and (10,320), (11,176) for t=10 and t=11.
 

 
Since it’s asking for the rate of change, the formula would be the same as finding a slope, except with the functions. Like this:
 

 
Plugging in (1,176) as X1,Y1 and (2,320) as X2 ,Y2 will give the rate of change of 144/1 or just 144.
 
Doing the same with (10,320) as X1,Y1 and (11,176) as X2,Y2 will give the rate of change of -144/1 or -144.
 
So the rate of change for t=1 and t=2 will be 144, and the rate of change for t=10 and t=11 will be -144.

Nobody said there’d be math!

“Evil Math” is a redundancy.

@Background Pony #CA9E  
You beat me to it you dirty bastard!

@Crusier  
that’s what makes it evil

@NorrisThePony  
What is a spherical arrow and what would it change? You need to apply a force to get acceleration in vacuum too.

Can we assume this is a spherical arrow being shot in a vacuum?

>Evil Math

@Crusier
 
Yeah, if this is a ballistic equation that’s gotta be h(t) = -16t^2 + 192t. Gravity accelerates objects downward.
 
<Twilight> “Do your own math homework, Daybreaker!”

If by rate of change you mean the change of height in specified time, then dh(t)/dt=32*t+192 so the answer is:
 
224, 256, 512, 544 for t=1, 2, 10, 11 respectively.
 
But that’s impossible, because it would mean that the arrow is constantly accelerating. What the hay? Is this a rocket arrow?

Dream Twilight: “…I have never been so turned on in my life!”

@justanotherponi  
And what were the odds of it impacting an African and/or European swallow during its flight?