About the Free Fall Motion formula and explain it in detail Thank you

An object that falls without any resistance and only under the action of gravity is called "free fall". Such as an object that begins to fall from a resting state under the gravitational pull of the earth. The sky above the Earth's surface can be seen as a constant gravitational field.

Without taking into account atmospheric drag, the free fall motion in this region is a uniformly accelerated linear motion. Its acceleration is constant equal to the acceleration g due to gravity. Although the gravitational force of the Earth is inversely proportional to the square of the distance from the object to the center of the Earth, the radius of the Earth is much larger than the distance traveled by the free fall, so the gravitational force can be regarded as constant near the ground, and the acceleration of the free fall is an immutable constant.

It is a uniformly accelerated linear motion with zero muzzle velocity.

The law of free-fall motion.

1) The law of velocity change with time: v=gt.

2) The law of displacement with time: h=1 2gt 2

3) The variation of velocity with displacement: 2gs=v 2

Corollary 1) The difference between the displacements in the adjacent equal time t h=gt 2

2) Average velocity over a period of time v=h t=1 2gt

A few corollaries. 1 At the end of the first second and the end of the second second, 、......The ratio of velocity at the end of the nth second v1:v2:

v3……：vn=1：2：

3:……n 2.From the time of falling, the ratio of the displacement of the object in each equal period of time is the ratio of the odd number of natural numbers 1:

3：5：7……2n-1

3.From the time of falling, the displacement that the object passes in an equal period of time for every two adjacent segments is at

4.From the fall, the object passes through 1s 2s 3s 4s .The time taken for ns is 1: 2: 3: 4: n

The time taken by an object to pass through 1s is (2s g).

The time taken for an object to pass through 2s is (2s g) 2

The time taken for an object to pass through ns is (2s g) n and it is easy to get the inference from inference 3 4

5.From the time of falling, the time taken for an object to pass an equal displacement is 1: 2-1: 3- 2: 4- 3: n- (n-1).

Use the above formulas to push it out.

The formula for calculating the instantaneous velocity of a free fall is v=gt; The displacement is calculated as h=1 2·g·t 2. The dot timer used to study freefall is usually in the air, and as the speed of the freefall motion increases, the resistance of the air to the falling body gradually increases. When the gravitational force experienced by the object is equal to the drag force it is experiencing, the falling body will fall at a uniform speed, and the maximum velocity it has reached at this point is known as the terminal velocity.

For example, when a paratrooper jumps off an airplane, the terminal velocity is about 50 meters per second if the parachute is not deployed, and about 6 meters per second when the parachute is deployed.

The following ** has a detailed description of the free fall movement, please refer to it.

The formula for free fall motion is v=gt. Free fall motion is a uniform linear motion with an initial velocity of 0, and the acceleration is constant, which is called gravitational acceleration.

The law of free fall: When an object is subjected to gravity, the process of falling from rest is free fall motion. Ancient Greek scholars believed that the speed at which objects fall was determined by their weight, and that the heavier the object, the faster it fell.

Aristotle, an ancient Greek philosopher who lived in the 4th century BC, was the first to elaborate this view, arguing that the speed at which objects fall is absolutely proportional to their weight.

Freefall movement

1. Initial velocity vo=0

2. The final velocity v=gt

3. Falling height h=1 2gt (calculated from VO position downward).

4. The general formula v = 2gh

5. Inference vt=2h

The free fall motion is a uniform acceleration linear motion with zero initial velocity, which follows the law of uniform linear motion with variable speed. g The acceleration due to gravity is smaller near the equator and smaller in high mountains than on flat land, in a straight downward direction).

The whole process processing: it is a uniform deceleration linear motion, with the upward direction as the positive direction, and the acceleration takes the negative value. Segmentation Processing:

It is a uniform deceleration linear motion upwards and a free fall motion downward, which is symmetrical. The ascent and fall processes are symmetrical, such as the velocity at the same point is reversed.

h=, height equal to one-half multiplied by gravitational acceleration multiplied by time squared.

g is the acceleration due to gravity, on Earth g is the time, and h is the distance falling.

Muzzle velocity: vo=0;

End velocity: v=gt;

Drop height: h=1 2gt;

General formula: VT2=2GH;

Corollary: vt=2h;

Free fall refers to the movement of a conventional object only under the action of gravity with an initial velocity of zero state, which is a physical model in an ideal closed state. Usually in the air, as the speed of the free fall motion increases, the resistance of the air to the falling body gradually increases. When the gravitational force experienced by the object is equal to the drag force it exceeds, the falling body will fall with a uniform velocity, and the maximum velocity it reaches at this time is called the terminal velocity.

The formula for free fall motion is as follows:

1. Displacement formula: displacement (s) = initial velocity (v) time (t) + 1 2 acceleration (a) time.

2. Velocity formula: velocity (v) = initial velocity (v) acceleration (a) time (t).

3. Time formula: time (t) = velocity (v) - initial velocity (v) and acceleration (a).

Where, the initial velocity represents the velocity of the object at the beginning of free fall, the acceleration represents the acceleration due to gravity (approximately equal to m s), and the time represents the time of free fall. It is important to note that when using these formulas, make sure to use the same units (e.g., meters and seconds) to ensure the correctness of the calculations. Moreover, these formulas are only suitable for ideal situations where air resistance and other external forces are not taken into account.

Application of the formula for free-fall motion

1. Solve the fall time: According to the free fall motion formula, the time required for an object to fall from a certain high limb to the ground can be calculated. The formula is T = sqrt(2h g), where t is the fall time, h is the fall height, and g is the acceleration due to gravity.

2. Calculate the falling distance: Through the free fall motion formula, you can calculate the distance that the object falls after a period of time after it starts to fall freely from a standstill. The formula is d = where d is the fall distance, g is the acceleration due to gravity, and t is the fall time.

3. Study projectile motion: The free-fall motion formula can be combined with horizontal projectile motion to study the sliding or projectile motion of an object on an inclined plane. By analyzing the combination of free fall motion and horizontal projectile motion, it is possible to calculate parameters such as the projectile trajectory, maximum height, and maximum distance of the object.

4. Simulated free fall experiment: Using the free fall motion formula, you can simulate the falling of objects at different heights, such as parabolic trajectory, velocity change, etc. This can help students understand and verify the regularity of free-fall motion.

It should be noted that the formula for free-fall motion is an approximate solution obtained by ignoring air resistance, so there may be a certain error in practical application. In addition, the gravitational acceleration may be slightly different in different locations, so the specific calculation should be calculated according to the value of the gravitational acceleration in the area.

1. Physical free fallExercise formula

Muzzle velocity: vo=0; End velocity vt=gt; Drop height h=gt2 2 (calculated downwards from VO position); Corollary VT2 = 2gh

Displacement s=vot-gt2 22Final velocity vt=vo-gt(g=

Useful inferences are that vt2-vo2=-2gs; The maximum height of the ascent hm=VO2 2G (from the point of throwing).

Round-trip time t = 2vo g (time from throwing back to position).

The formula for free fall time: s=1 2gt, t=(2s g) 1 2

Second, the free fall motion formula usedPrecautions

1) The free-fall motion is a uniform acceleration linear motion with zero initial velocity, which follows the law of uniform linear motion with variable speed;

2) a=g=gravitational acceleration is smaller near the equator, smaller than flat land in high mountains, and the direction is straight down).

3) Vertical throwing motion (related to free fall motion).

4) Whole process processing: it is a uniform deceleration linear motion, with the upward direction as the positive direction, and the acceleration takes a negative value;

5) Segmented treatment: upward is a uniform deceleration linear motion, downward is a free fall motion, with symmetry;

The formula for the free fall movement is v=gt.

The characteristic of free fall motion is embodied in the word "free", which means that the object is stationary when it begins to fall, i.e., the initial velocity v=0. If the initial velocity of the object is not 0, even if it falls vertically, it cannot be regarded as free fall; During the falling of an object, it is no longer subjected to any other external force (including air resistance) or the net force of an external force is 0 except for gravity.

Free fall refers to the motion of a conventional object with zero initial velocity only under the action of gravity, also known as free fall motion. Free-fall motion is an idealized physical model of uniform acceleration motion with an initial velocity of 0. It can also be said that the motion of an object falling from a relative rest under the action of gravity alone is called free fall motion.

History of self-fibrillation and rapid brightness by falling bodies:

The first to study free fall was the ancient Greek scientist Aristotle, who proposed that the speed of falling an object is determined by the weight of the object itself, and the heavier the object, the faster it falls; Conversely, the slower it falls. Aristotle's theories influenced people for more than 2,000 years.

The physicist Galileo Galilei put forward the opposite opinion in 1636.

According to Galileo, free fall is the simplest type of variable speed exercise. He envisioned that the speed of the simplest variable speed movement should be uniformly varied. He considered two possibilities:

One is that the change in velocity is uniform to time, that is, after equal time and delay, the change in velocity is equal; The other is that the change in velocity is uniform for displacement, i.e., after equal displacement, the change in velocity is equal.

In order to completely change the effect of Aristotle's mistake, Galileo deliberately conducted an experiment on the Leaning Tower of Pisa with two iron balls of different sizes in public, and the result surprised everyone present, and the two iron balls fell to the ground at the same time.

The above content reference: Encyclopedia - Free Fall Movement.