What are the equations for velocity of falling objects?

Answer 1

The acceleration of free fall on earth, near the surface of the earth is 9.8 m/s2. On the moon it is 1.6m/s2

But as the object moves further and further away from the earth, or any massive body, the acceleration due to gravity decreases by the inverse square law. Thus rather than being a constant value, the acceleration infinitely approaches zero as the object infinitely approaches infinity.

The equation for this acceleration (which is identical to the equation for gravitational field, except for acceleration it is looking at inertial mass, while field is gravitational mass, but for all purposes they are the same):

a = GM / r2

Where G is the gravitational constant = 6.67300 × 10-11 m3 kg-1 s-2 and M is the massive body creating the gravitational field

and r is the distance from the center of the object to the center of the massive body

And with this information, you can solve anything! The work done to move a body through space, the velocity to launch a satellite. Its amazing how physics actually work!

Answer 2

The formula for the relative velocity of an object that is "falling", or being attracted to another body of matter by the gravitational constant (g) of 9.83meters/secondsquared or 32feet/secondsquared, without considering the effects of friction and resistance (as would be caused by air, for instance) is as follows:

V=g*t

"t" represents Time. who ever rote this did not give to much info

Answer 3

This is a simplified form of the equations of motion (v=u + at). Assuming a stationary start, the equation becomes: v=at Where v is the velocity, a is the acceleration (assuming Earth gravity of 9.8 m/s/s) and t is time. There are some qualifications, terminal velocity comes at around 50 m/s (or around 5 seconds).

Answer 4

It depends on what information you have. You will always know the acceleration (on Earth this is 9.81 ms-2). If you don't know the distance but you know the amount time the object's been falling for (t) and the initial velocity (u), then the velocity, v=u+at, where a is -9.81ms-2 (it's negative because it's acting downwards).

An example would be a person drops a box from a plane. After 10 seconds, how fast is the box traveling (ignoring air resistance). In this case v would equal 0+(-9.81x10) which equals -98.1ms-1. To get this in mph you divide by 1609(.344) [metres in a mile] and then multiply by 3600 [seconds in an hour].

If you know the displacement [distance with direction, so if it's falling down, the displacement will be negative], then use you can use s=vt - ((0.5 x a) x (t2)) rearranging to make v the subject, of course. S is the displacement).

If you don't know the time, then use v=sqrt( u2 + 2as)

Answer 5

F = G m1m2/R2

F = the mutual gravitational force of attraction between two masses

G = the universal gravitational proportionality constant

m1, m2 = the masses of the two masses

R = the distance between the centers of mass of the two masses

Answer 6

Acceleration = G

Velocity = V0 - G T upward

Distance = V0 T - 1/2 G T2 upward

G = 9.8 meters (32.2 feet) per second2

V0 = initial upward velocity

T = time in free fall

Answer 7

You can use the formula s=1/2at2 ,where s = distance, a = acceleration or gravity, and t = time. Over larger distances, a factor for air resistance must be added. If you drop something off a bridge or tower, on Earth it would fall 16 feet in one second, 64 feet in two seconds, 144 feet in three seconds..., after which you would have to start accounting for air resistance. This applies only to heavier objects if they are falling through a medium like air. Very light objects like feathers and styrofoam are greatly affected by air resistance and would not follow this formula.

Here is the math for the 2 second example. Drop a hammer off a high place. The acceleration of gravity on the surface of Earth is 32 ft/sec2.

s = [1/2(32 ft/sec2)](2 sec)2 , s = [16 ft/sec2](4 sec2) = 64 ft , which is the distance fallen after 2 seconds.

Answer 8

V^2-(V0)^2=2a(l-l0)

a= acceleration

l=lenght

v=velocity

Answer 9

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