Equation of Motion Under Gravity
Gravitation motion equations are the results of applying the dynamic and kinematics laws. It expresses the connections between an object’s location, velocity, acceleration, and time of movement all influenced by gravity.
Equations for Free Fall
In free fall, an object does not experience outside forces, except for gravity. This acceleration is constant at the rate of 9.8 m/s2 toward the centre of Earth.
Displacement: Displacement ‘h’ of an object under gravity can be calculated using the equation:
h = ut + 1/2gt2
Velocity: Velocity ‘v’ of the object at any given time t can be calculated using:
v = u + gt
Final Velocity at Displacement (h): Final Velocity at Displacement ‘h’ is calculated using the equation,
v2 = u2 + 2gh
where,
- v is Final Velocity
- u is Initial Velocity
- g is Gravitational Acceleration
- h is Height of Object
- h is Height of Object
Velocity of a Body Having Motion Under Gravity
If an object moves under the influence of gravity then its velocity is calculated as:
v2 = u2 + 2gh
Value of g is taken to be positive as it is moving downward
v2 = (0)2 + 2gh
v2 = 2gh
v = √(2gh)
Motion Under Gravity
Motion under gravity is the motion of an object moving under the influence of gravity. gravity is the constant pull of Earth’s surface that pulls every object to its centre. The motion of a fruit falling from the branch of the tree is considered motion under gravity.
In this article, we will learn about Motion under gravity, Equation of motion under gravity and others in detail.
Table of Content
- Motion Under Gravity
- Basic Principles of Motion Under Gravity
- Equation of Motion Under Gravity
- Equations for Projectile Motion
- Motion Under Gravity Forces Examples