PhysicsSphere - First equation of motion

Free Fall

If a body is allowed to fall under the influence of the force of gravity alone, then it is a free fall.

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction; hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

Velocity is the rate of change of dispacement & acceleration is the rate of change of velocity.

Due to the acceleration due to gravity of Earth, (9.8 m/s2), Every object that falls due to gravity will have an acceleration of 9.8 m/s2 & every object thrown upward will decelerate with 9.8 m/s2. For making calculations simpler, Let's take our g value as ~ 10 m/s2.

For object falling

downwards

Time Velocity

o s 0 m/s

1 s 10 m/s

2 s 20 m/s

3 s 30 m/s

4 s 40 m/s

5 s 50 m/s

Note: Whatever the mass of the object, its acceleration due to gravity is a constant.

By definition of acceleration,

Acceleration,

a = change in velocity / time

ie, a = (Final velocity - initial velocity) / t

ie, a = ( v - u ) / t

Rearranging,

v - u = a t

ie, v = u + a t

This is the first equation of motion.

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