Projectile motion
it refers to the motion of an object that is projected into the air and subject to the acceleration due to gravity.
The equations of motion for an object in projectile motion can be described by:
Position after time t:
- x = x0 + v0t cosθ
- y = y0 + v0t sinθ - (1/2)gt^2
Where:
- x is the horizontal position of the object at time t
- y is the vertical position of the object at time t
- x0 is the initial horizontal position of the object
- y0 is the initial vertical position of the object
- v0 is the initial velocity of the object
- θ is the angle at which the object was projected
- g is the acceleration due to gravity
- t is time
Velocity after time t:
vx = v0 cosθ
vy = v0 sinθ - gt
Where:
- vx is the horizontal velocity of the object at time t
- vy is the vertical velocity of the object at time t
- v0 is the initial velocity of the object
- θ is the angle at which the object was projected
- g is the acceleration due to gravity
- t is time
Trajectory of a projectile
it is a parabolic path and can be represented by the following equation:
y = y0 + v0t sinθ - (1/2)gt^2
Where:
- y is the vertical position of the object at time t
- y0 is the initial vertical position of the object
- v0 is the initial velocity of the object
- θ is the angle at which the object was projected
- g is the acceleration due to gravity
- t is time