Projectile motion refers to any object that moves in two dimensions along a curved path due to gravity. It has both horizontal and vertical dimensions. Examples of projectile motion include objects thrown or projected at an angle, where gravity causes it to follow a parabolic path. The document provides formulas for calculating time of flight, displacement, range, and velocity in the horizontal and vertical dimensions of projectile motion.

1. Projectile Motion in Two
Dimensions
Sir Marvinel Vinuya

2. What is projectile
motion?

3. PROJECTILE MOTION
Any object that moves in
two dimension and forms a
curved path and is acted
upon by gravity.

4. Two Dimensions

5. Two Dimensions
Horizontal – X Dimension
Vertical – Y Dimension

6. Curved Path
Parabola
(Parabolic Pathway)

7. Example of projectile motion
An object is moving horizontally at 80m/s on a
cliff that is -50m high
a. Time of flight ?
b. Displacement or range?

8. Formula
Uniformly Accelerated Motion
Y- Equations
1. Vfy = 𝑉𝑖𝑦 t 𝐴𝑦 t
2. 𝑑𝑦 = 𝑉𝑖𝑦 𝑡 + ½ 𝐴𝑦 𝑡2
3. 𝑉𝑓𝑦2= 𝑉𝑖𝑦2+ 2𝐴𝑦 𝑑𝑦
4. 𝑑𝑦 = (
𝑣𝑓𝑦−𝑉𝑖𝑦
2
) (t)
Velocity
X- Equations
𝑉
𝑥 =
𝑑𝑥
𝑡
𝑑𝑥 = 𝑉
𝑥 𝑥 𝑡
t =
𝑑𝑥
𝑉𝑥

9. Y - Vertical X – Horizontal
𝑑𝑦 = 50 m
𝐴𝑦 = -9.8m/𝑠2
𝑉𝑖𝑦 = 0m/s
t = ?
𝑉
𝑥 = 80m/𝑠2
𝑑𝑥 =
t =