Projectile motion:
Projectile motion is the motion of an object projected into the air, under only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory.
Initial Velocity: The initial velocity can be given as x components and y components.
u
x = u cosθ
u
y = u sinθ
Where u stands for initial velocity magnitude and θ refers to projectile angle.
Maximum height: It is the maximum height from the point of projection, a projectile can reach
The mathematical expression of the maximum height is -
Important Points
Time is taken to reach maximum height:
it is half of the total time of flight.
Where T
1/2 = time taken by the projectile to reach maximum height, g = acceleration due to gravity, and v = velocity
Time of Flight: The time of flight of projectile motion is the time from when the object is projected to the time it reaches the surface.
Where T is the total time taken by the projectile, g is the acceleration due to gravity.
Range: The range of the motion is fixed by the condition y = 0.
Where R is the total distance covered by the projectile.