OK, engine vs gravity. Both are constant forces at terminal velocity. Both forces only need to battle against resistance to maintain the object's current state.
Your kinetic energy equation tells you how much energy the object possesses. If a 500kg car and a 2000kg car were both travelling at 50km/h, the equation tells you that the heavier car has more energy, and will do more damage when it hits the brick wall. It doesn't tell you what energy is required to maintain velocity
Where's Crazyhorse again?
Only in simple Newtonian physics in high school would you consider them to fall at the same rate.
In a falling case then terminal velocity will be reached when the kinetic energy being used (or the potential energy being lost - depending on your perspective) matches the energy being lost through wind drag and friction.
If you talking about an object leaving the atmosphere, or falling from a great height like a plain, then gravity is not constant. It gets stronger as you approach the earth's surface.
Ek=1/2 m v^2
If you know the kinetic energy and the mass, then you can calculate the velocity.
The premise of wind resistance was stated. The rate of acceleration remains 9.8m/s/s without it.
Got yer bonce around this one?
http://www.grc.nasa.gov/WWW/K-12/airplane/termv.html
The rate of acceleration at the earth's surface - yes. If your trying to calculate the terminal velocity of an object either leaving the surface or approaching it then you need to use something like:
F=1/2 G m1 m2 / r^2
It's hard to write it out in text form.
m1 is the mass of the earth. m2 is the mass of the object escaping from earth. r is the distance between the mid point of the masses. G is the gravitational constant.
One you have the force being exerted you can use:
f=ma
where m is the mass of your object. a is the acceleration - which will vary depending on r above.
So I guess if you want the terminal velocity going "up or down" you need to consider that acceleration of the falling/rising body will vary.
If you consider the object to be "flying" horizontally then vertical acceleration will remain constant at 9.8 m/s/s, but because it is moving horizontal the vertical acceleration of gravity wont have a bearing.
I won't affect the top speed, but will effect the acceleration.
Those comments about a feather vs. a car falling from a great height:
The only reason the feather falls much slower is because the surface area to weight is much, much larger, so it feels more force (due to friction moving through air) PER unit of mass. If the went to the moon and did the same thing we would see the feather and the car reach the ground at the exact same time (provided the were dropped from the same height.)
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