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:
![Projectile Motion Formula 1 1](https://www.educationidol.in/wp-content/uploads/2022/09/1.png)
![Projectile Motion Formula 2 2](https://www.educationidol.in/wp-content/uploads/2022/09/2.png)
![Projectile Motion Formula 3 3](https://www.educationidol.in/wp-content/uploads/2022/09/3.png)
![Projectile Motion Formula 4 4](https://www.educationidol.in/wp-content/uploads/2022/09/4.png)
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
![Projectile Motion Formula 5 5 2](https://www.educationidol.in/wp-content/uploads/2022/09/5-2.gif)
![Projectile Motion Formula 6 6](https://www.educationidol.in/wp-content/uploads/2022/09/6.png)
![Projectile Motion Formula 7 7](https://www.educationidol.in/wp-content/uploads/2022/09/7.png)
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:
Vyo = 30 m/s
Δ t = 3s
The vertical velocity in the y-direction is expressed as
Vy = Vyo sin 70°
Vy = 30 sin 70
Vy = 23.22 m/s