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Projectile Motion Formula

Table of Contents:
Projectile Motion Formula
Projectile Motion Solved Example

Projectile Motion Formula

Following are the formula of projectile motion which is also known as trajectory formula:

Where,

• Vx is the velocity (along the x-axis)
• Vxo is Initial velocity (along the x-axis)
• Vy is the velocity (along the y-axis)
• Vyo is initial velocity (along the y-axis)
• g is the acceleration due to gravity
• t is the time taken

Equations related to the projectile motion is given as

Where

• Vo is the initial velocity
• sin θ is the component along the y-axis
• cos θ is the component along the x-axis

The formula of projectile motion is used to calculate the velocity, distance and 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 a velocity 30 m/s and at the angle of 70° then at the time 3s what height will the ball reach?

Answer:

Given:

V_yo = 30 m/s

Δ t = 3s

The vertical velocity in the y-direction is expressed as

V_y = V_yo sin 70^°

V_y = 30 sin 70

V_y = 23.22 m/s