**Introduction About Value For Acceleration Due to Gravity on Earth:**

The acceleration of a falling body in the earth’s gravitational field, inversely proportional to the square of the distance from the body to the center of the earth, and varying somewhat with latitude: approximately 32 feet (**9.8 meters**) per second per second. Symbol: g. Also called gravity.watch Introduction About Value For Acceleration Due to Gravity on Earth to learn more.

** For Acceleration Due to Gravity on Earth:**

When any object is moved then its speed is changed which is called **velocity** while the change in velocity is **acceleration**. When it is changed continues then it is in accelerating condition which is called the **rate of acceleration**. It is equal to the ratio of change in velocity with respect to time between the given paths. The vector quantity acceleration is used to show the increasing or decreasing speed or changing direction of object.

As we know that a free falling object is under the influence of gravity with an acceleration of 9.8 m/s in downward direction. The free falling objects are free from air resistance. This is the gravitational acceleration or acceleration under gravity denoted with the symbol of g with the standard value of 9.8 m/s but it is varied in different gravitational environments. Gravitational Fields widget is used for investigating the effect of location on the value of g. Let’s discuss about the calculation of acceleration due to gravitational force and its properties.watch Introduction About Value For Acceleration Due to Gravity on Earth to learn more.

The most common type of force is the force due to gravity. It is experienced by all of us in every day life. For everyone, falling of an apple from its tree was a common sight and was considered as a natural phenomena. But for Sir Isaac Newton, even though he was a boy at that time, this phenomena made him think inquisitively. Ultimately, he found that the reason of objects falling towards ground is that the Earth has an inherent property of exerting an attraction of force on the objects. This force is called force of gravity and the acceleration generated on the objects due to this force is called **Acceleration due gravity** .

As per the definition of force, the equation of force due to gravity is given by,

**W = mg
**where m = mass of the Object

g = acceleration due to gravity.

In this case, the force is better known as the weight of the object. Also the acceleration in this case is the acceleration due to gravity. It is a constant and denoted by the letter **g**. The approximate value of** **acceleration due to gravity in feet is **32 ft/s ^{2}** or in meters is

**9.8 m/s**.These are the values of acceleration of gravity on the Earth.

^{2}**Acceleration Due To Gravity Formula**

The acceleration due to gravity formula or the acceleration due to gravity equation can be derived from the fundamental equations of motion.

They are,

**v = u + at,
s = ut +**(12)

**at**

v

^{2}andv

^{2}– u^{2}= 2asWhere v = Final Velocity

u = Initial Velocity

a = Acceleration

t = time taken.

In case of motion under gravity, the acceleration **a** and the distance **s** in the above equations are replaced by gravity** g** and the height of the object**h**.

Thus the acceleration due to gravity equations are,

**v = u + gt,
h = ut + **(12)

**gt**

v

^{2}andv

^{2}– u^{2}= 2ghWhere,

h = Height from ground level and

g = acceleration due to gravity.

When an object is thrown vertically upwards with an initial velocity u, the acceleration due to gravity acts as a Negative acceleration. That is, the velocity of the object gets reduced progressively, becomes 0 at a certain height and then the object starts falling like a free fall. The height at which the final velocity becomes 0 is the maximum height that the object can reach for a given initial velocity.

For a vertical throw, the acceleration due to gravity formulas can be formed by plugging in **v = 0 **and **g = -g** in the fundamental equations of motion. In such a case, the acceleration due to gravity equations are,** **

**t = **ug**,
h = ut – **(12)

**gt**

u

^{2}andu

^{2}= 2gh

Useful for CBSE, ICSE, NCERT & International Students

Grade :9

Subject : Physics

Lesson : Gravitation

Topic:Value For Acceleration Due to Gravity on Earth

Visit www.oztern.com to find personalized test preparation solutions for Pre Medical – AIPMT, AIIMS, JIPMER, State, Pre Engineering – IIT JEE, JEE MAIN, BITSAT, State and Foundations – Class 6 to 10