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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 =