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

# Projectiles

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

## Objectives

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
• $U$ = 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

## Case 1

### Calculators for Case 1

NOTE: Only the S.I (System International) units are used.
To convert to any other unit(s), please review

• Given: initial velocity, angle of projection with the horizontal, acceleration due to gravity
To Find: other details

$m/s$

$^o$

$m/s^2$

• Given: first term, last term, number of terms
To Find: other details

## Case 3

### Calculators for Case 3

NOTE: Only the S.I (System International) units are used.
To convert to any other unit(s), please review

• Given: initial velocity, angle of projection with the horizontal, height below the horizontal, acceleration due to gravity
To Find: other details

$m/s$

$^o$

$m$

$m/s^2$