PHYSICS

As an object falls, its speed increases because it's being pulled on by gravity. The accleration of gravity is g = -9.81 m/s^2. To find out something's speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: speed = -9.81 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards. If it were positive, then it would be moving up.

If you have an initial velocity (if you threw the ball up or down instead of just letting go of it), then you have to include this in the equation, too, giving you: V = Vo + gt, where Vo is the initial velocity of the object. This equation will still work if you threw the ball to the side, instead of straight up or down, except that it will only give you the up-down speed, not the total speed. (And the number you should use for Vo is still just the up-down velocity that the object starts with.)

Time of fall?
Q:How does one determine the time and velocity of a fall if you only have the distance of the fall?

You need the acceleration. If you are at the surface of the earth the acceleration is g = 32.2 feet/sec2 or 9.8 meter/sec2. Integrating the acceleration once gives V = Vo + g T where Vo is the initial velocity, presumably zero, and T is the time of fall. Integrating once more gives d = Vo T + gT2/2. So taking Vo = 0 you get
T = sqrt(2d/g) and V=sqrt(2dg).

That V gives is the final V. In case you want the average V over the fall, it's half that

the speed in the horizonal direction is meaningless

So why do bomb aimers take into account the horizontal speed of the plane? What happened to the terminal velocity ?

you consistently exhibit a strong propensity towards the Durning-Kruger Syndrome; a cognitive bias in which unskilled people make poor decisions and reach erroneous conclusions, but their incompetence denies them the metacognitive ability to appreciate their mistakes, and therefore suffer from illusory superiority, rating their ability as above average, much higher than it actually is.

they hit the target with an object in a parabolic shaped fall

the bomb hits the earth vertically, the speed in the horizonal direction is meaningless.

the speed at which the bomb hit the earth from a vertical position above the earth

Quote:

the bomb hits the earth vertically, the speed in the horizonal direction is meaningless.

Says who, Einstein....

Awh, got your feeling hurt by having your ignorance pointed out?

The speed the initial poster asked for was the speed at which the bomb hit the earth from a vertical position above the earth.

Quote:

Says who, Einstein....

No, that would be Newton, the issue is mechanics, not relativity,

You do note that the discussion was set up with an X and Y axis, the forces along them are not capable of addition.

are you stating that you can increase its vertical speed by increasing its horizontal speed?

Have you ever taken a physics class, or even walked by one?

Considering the stupidty of your remarks,

I bet that you can't even count to twenty without taking off your shoes.

But I encourage you to continue posting, since the idiocy of your posts can be humorous to those smarter than you

Durning Kruger Syndrome