If there is one prayer that you should

- Samuel Dominic Chukwuemeka
**pray/sing** every day and every hour, it is the
LORD's prayer (Our FATHER in Heaven prayer)

It is the **most powerful prayer**.
A **pure heart**, a **clean mind**, and a **clear conscience** is necessary for it.

For in GOD we live, and move, and have our being.

- Acts 17:28

The Joy of a Teacher is the Success of his Students.

- Samuel Dominic Chukwuemeka

I greet you this day,

__First:__ read the notes.

__Second:__ view the videos.

__Third:__ solve the questions/solved examples.

__Fourth:__ check your solutions with my **thoroughly-explained** examples.

__Fifth:__ check your answers with the calculators as applicable.

I wrote the codes for the calculators using JavaScript, a client-side scripting language.

Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome. You may contact me.

If you are my student, please do not contact me here. Contact me via the school's system.

Thank you for visiting!!!

**Samuel Dominic Chukwuemeka** (Samdom For Peace)
B.Eng., A.A.T, M.Ed., M.S

Students will:

(1.) Discuss projectiles.

(2.) Discuss each case of a projectile motion.

(3.) Derive the formulas for several parameters for each case of a projectile motion.

(4.) Solve applied problems on projectiles.

## Symbols and Meanings

- To solve for a specified variable for each formula, please review Solved Examples - Literal Equations
- $U$ = initial velocity
- $U_x$ = horizontal component of the initial velocity
- $U_y$ = vertical component of the initial velocity
- $V$ = final velocity
- $\theta$ = angle of projection with the horizontal
- $a$ = acceleration
- $g$ = acceleration due to gravity
- $t$ = time of the motion of the projectile
- $h$ = height of the projectile at time, $t$
- $T$ = time of flight of the projectile
- $H$ = maximum height
- $t_H$ = time to reach the maximum height
- $R$ = range
- $R_{max}$ = maximum range
- $\phi$ = angle of elevation/depression
- $h_{below}$ = height below the horizontal

NOTE: Only the S.I (System International) units are used.

To convert to any other unit(s), please review Measurements and Units

__Given:__initial velocity, angle of projection with the horizontal, acceleration due to gravity

__To Find:__other details

__Given:__first term, last term, number of terms

__To Find:__other details

NOTE: Only the S.I (System International) units are used.

To convert to any other unit(s), please review Measurements and Units

__Given:__initial velocity, angle of projection with the horizontal, height below the horizontal, acceleration due to gravity

__To Find:__other details