Question

what is the nature of acceleration for a free falling body

Answer 1

What is free fall? A object is said to be freely falling if it's moving towards the center of a planet only by the gravitational force of the planet and no other force is acting upon the object- not even air resistance.

What is acceleration? Acceleration of an object is rate of change in velocity of a object in motion. (v-u)/t ↓↓

What is velocity? Velocity of an object can be defined as speed of the object if it's moving in a straight direction. Change in velocity is final velocity , denoted by v minus initial velocity, denoted by u, ie., (v-u). Rate of change of velocity is (v-u)/t , where t is the time taken by the object to change its velocity.

In short, Acceleration = (v-u)/t....

Acceleration due to gravity on earth on an average is always 9.8 m/s².

Here, the term on an average is used because acceleration due to gravity (g) is equal to (G*M)/(R)² , where G is the universal gravitation constant, M is the mass of the planet and R is the radius of the planet(we'll not go into that details....); and since the earth is not a perfect sphere, the radius varies at the equator and the poles, and, hence, the value of g (acc. due to gravity) also varies.....

Conclusion: The value of acceleration due to gravity is 9.8 m/s² in case of a freely falling object.

$@tejasgupta \: - \: ask \: for \: help \: anytime \:...$

Answer 2

The nature of acceleration of free falling body is 9.81m/s².The nature of acceleration is said to be the change of velocity caused by applied force

what is velocity?

Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI as metres per second or as the SI base unit of.

Hope it helps