Equations for Projectile Motion
Projectile motion is the motion of an object that moves under the influence gravity and also has a vrticla motion. Motion of bullet fried from a gun, motion of ball thrown in air, etc are considered as projectile motion.
Horizontal Motion: If there is no external force applied to an object, the object will keep moving with the same speed. Thus, the equation for horizontal displacement (x) is simply:
x = ut
Vertical Motion: In case of vertical motion gravity plays a crucial role, and its equation is given as,
y = ut + 1/2gt2
where sign of g can vary accordingly
Maximum Height: Maximum height (H) attained by the projectile is obtained from the formula:
H = v2sin2(θ)/2g
Time of Flight: Formula to find total flight time(T) is calculated by the formula:
T = 2vsin(θ)/g
where,
- v is Vertical Component of Initial Velocity
- θ is Launch Angle
- g is Gravitational Acceleration
- x is Horizontal Displacement
- u is Horizontal Component of Initial Velocity
- t is Time
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