Module 3 - Projectile and Circular Motion

Flashcards covering key terms, formulas, and components of projectile motion and circular motion based on General Physics Module 3.

Projectile Motion

A type of motion that consists of two components: a horizontal component of uniform motion and a vertical component of free fall, while neglecting air resistance.

Uniform Motion

The motion of an object that moves at a constant pace, resulting in no acceleration unless there is a change in direction.

Horizontal Component of Projectile Motion

The uniform motion component of projectile motion where horizontal acceleration $a_x = 0$ and horizontal velocity remains constant at $v_x = v_{ox}$.

Vertical Component of Projectile Motion

The free-fall component of projectile motion where an object accelerates vertically downward at $a_y = g$.

Initial Horizontal Velocity ($v_{ox}$)

The horizontal velocity component at release, defined by the formula $v_{ox} = v_o \frac{\text{adjacent}}{\text{hypotenuse}}$ or $v_{ox} = v_o \times \text{cos}(\theta)$.

Initial Vertical Velocity ($v_{oy}$)

The vertical velocity component at release, defined by the formula $v_{oy} = v_o \times \text{sin}(\theta)$.

Horizontal Displacement ($d_x$)

The horizontal distance covered in projectile motion, calculated using the formula $d_x = v_x \times t$.

Vertical Displacement ($d_y$)

The vertical distance covered in projectile motion, calculated using $d_y = v_{oy} \times t + \frac{1}{2} \times g \times t^2$.

Centripetal Acceleration ($a_c$)

The acceleration resulting from a change in direction when an object moves at a constant speed in a circular path, represented as $a_c = \frac{v^2}{R}$.

Period of Motion ($T$)

The time required for a moving object to complete one full revolution around a circular path.

Acceleration-Period Relation

The mathematical equation relating centripetal acceleration to the radius and period of circular motion, given by $a_c = \frac{4 \times \frac{\text{pi}}{\text{pi}} \times \frac{\text{pi}}{\text{pi}} \times R}{T^2}$ or $a_c = \frac{4\times \frac{22}{7} \times \frac{22}{7} \times R}{T^2}$ or $a_c = \frac{4\times \text{pi}^2 \times R}{T^2}$.