So I was in the shower today...

[Zack]

SJ Zero, you're making the same ridiculous assertions about what I said as before. And, if you didn't realize, that was a definite integral that actually made sense, at least to me, which I wasn't sure how to solve. Just because your integration notation is incomprehensible doesn't mean you need to trash talk me... and also you had no sources to back up your result.

Zack, the rate of acceleration remains constant, and so does acceleration.

a is acceleration in "a = 1/C".

Let's say m1 = 5:

a = 1/C
da/dt = 0 (da/dt is the rate of acceleration over time)

Let's say m1 = 10:

a = 1/C (the same...)
da/dt = 0


As you're not yet quite as hopeless as SJ Zero, Zack, I'll dissect your statement:

>In a seperate law, F=ma, and by extension a=F/m, acceleration of an object=force applied/the mass of the object, as the mass increases, the rate of acceleration DECREASES.
Yes, that is true, assuming the force is held CONSTANT.

>So as mass goes up, gravitational force does too
Also true, assuming the acceleration DECREASES.

>but we NEED more force to move a more massive object
Yes, that is correct, assuming acceleration stays constant.

>therefore things of different masses fall at the same speed.
I assume you mean gravitational acceleration here. That would be true, if you somehow reduced something else proportionately-- for instance, if you reduced the mass of the other object, or increased the distance.

Maybe I'm being misleading. Suppose we have two objects, one which is 5 kg and the other which is 10kg. To accelerate the 5kg object to 10 m/s, we need how much force? F=ma, F=5kg*10m/s, F=50 N. We need 50 Newtons of force. To accelerate a 10kg object to 10 m/s, we need double the force, because the mass doubled. We need 100 N. Suppose that we are getting our force from gravity. Like any other force, we need double to accelerate the 10kg object. Luckily, the force of gravity increases whenever the mass goes up. So 10kg is being pulled on more than 5kg. But we need more force to pull the 10kg object. So, the conclusion is that the 5kg and 10kg object will be moved at the same rate.