To be fair it's gravity

The way you're using Gravity Manipulation sounds like an entirely different variation. Maybe something that is Bio-related instead?

Let's take a reference towards the VS Battle Wiki, say a house is a small house based on the chart in the VS Battle Wiki you'd therefore need to output something in the range of 0.005 -> 0.25T in order to thus crush it. We would also assume that they're protecting themselves of any increased gravitational pressure which means they can withstand 0.25T worth of pressure.

So if we decide to convert tons towards some sort of speed measurement, (this is where AI comes in) we simply introduce acceleration therefore converting the mass into speed. Acceleration times Distance/Mass. 0.25 Tons * 1K kg = 250 KG therefore assuming the reasonable acceleration would be 5m/s squared by 2 therefore assuming a distance (of total) of 10 meters.

Using this exact calculations towards the tons you managed to emit on a small house, you'd simply only have 10 meters per second speed. Now this is severely below Speed of Light. I don't think we can introduce projectile speed in this equation unless the power itself is engineered like that as Gravity is something all around us so there's no need to use it as a projectile unless the power demands so.

If a person of GM were to use this exact power behind their capabilities in order to reach the moon, they'd take 3-4 years roughly to reach the moon. If we exclude in all the resistances and all that mumbo jumbo, it'd take them a year and a half to reach the moon.

Is this what you were trying to do?

If someone has a better explanation or want to point me as wrong, I encourage

Don't ever use the vsbattle wiki ever again

I know their character biases but they genuinely have great calculations in regards to attack potency, speed and so on. I take what they say about character's feats with a grain of salt but respect should be earned on their calculations based around what I've said. If you have any better sources, I don't mind having them.

Gravity can warp time and space, and causes of black holes, so it can be more destructive.

Gravity is not gravitying.