Physics Review Sheet: Vectors, Relative Motion, and Projectile Motion

These flashcards cover essential vocabulary and concepts related to vectors, relative motion, and projectile motion.

Vector

A physical quantity that has both magnitude and direction, such as displacement, velocity, acceleration, and force.

Scalar

A physical quantity that has only magnitude, such as distance, speed, or time.

Vector Components

Any vector can be broken down into perpendicular components, typically horizontal ( ) and vertical ( ).

Magnitude of a Vector

The length of the vector, calculated as C = rac{Cx^2 + Cy^2}{2}.

Direction of a Vector

The angle relative to an axis, typically calculated as θ = an^{-1}rac{Cy}{Cx}.

Relative Velocity

Velocity expressed relative to a particular reference frame.

Projectile Motion

Motion analyzed by considering horizontal and vertical components separately.

Horizontal Motion in Projectile Motion

The horizontal velocity remains constant, and horizontal displacement is calculated as x = vx imes t{air}.

Vertical Motion in Projectile Motion

The vertical acceleration is -g (downward due to gravity), and vertical displacement is calculated using the equation riangle y = vy imes t{air} + rac{1}{2} g t_{air}^2.

Optimal Angle for Maximum Range

To get maximum range on level ground in projectile motion, the projectile should be launched at an angle of 45 degrees.

Initial Velocity Components

For any launched object, the initial horizontal velocity is given by vx = V imes ext{cos} θ and initial vertical velocity by vy = V imes ext{sin} θ.

Total Time in Air (Projectile Motion)

Total time the projectile is in the air can be determined from the vertical motion equations.

Resultant Velocity

The combined velocity of an object considering its motion in relation to another object or medium.

Magnitude of Velocity Vector

The result of combining the x and y components of a velocity vector, calculated using the Pythagorean theorem.

Displacement

The shortest distance from the initial to the final position of an object, along with the direction.