The projection motion is one kind of motion. A projectile is an entity thrown into the air or into space. A trajectory is a curved direction with which the projectile is moving. In a horizontal direction with constant velocity, the free-fall motion of any object is known as projectile motion.
Projectile Motion Formula or trajectory formula is formulated as
Vx = the velocity (along the x-axis)
Vxo = Initial velocity (along the x-axis)
Vy = velocity (along the y-axis)
Vyo = Initial velocity (along the y-axis)
g = acceleration due to gravity
t = Time taken
Equations related to the projectile motion is given as
Vo = Initial Velocity
sin θ = Component along the y-axis
cos θ = component along the x-axis
The formula of projectile motion is used to calculate the velocity, distance and the time observed in the projectile motion of the object.
Projectile Motion Solved Example
Problem 1: Jhonson is standing on the top of the building and John is standing down. If Jhonson tosses a ball with velocity 30 m/s and at the angle of 700 then at the time 3s what height will the ball reach?
Vyo = 30 m/s
Δ t = 3s
The Vertical velocity in y-direction is expressed as
Vy = Vyo sin 70o
Vy = 30 sin 70
Vy = 23.22 m/s