Chapter 2: Accelerated Motion

v = u + at

Equation of Motion 1. Used when trying to find the acceleration, time, initial or final velocity of a system of uniform acceleration. a = v-u / t Thus, v=u + at

s = ut + (1/2)at^2

Equation of Motion 2. Used when trying to find the acceleration, time, initial velocity, or displacement of a system of uniform acceleration.

s = (u+v)/2

Equation of Motion 3. Used when trying to find the time, initial velocity, final velocity or displacement of a system of uniform acceleration. u+v/2 : Average velocity Thus (when looking at a v-t graph), s = (u+v)/2 * t

v^2 = u^2 + 2as

Equation of Motion 4. Used when trying to find the initial velocity, final velocity, acceleration, or displacement of a system of uniform acceleration.

vcos(theta)

For splitting a vector into it's x-axis component.

vsin(theta)

For splitting a vector into it's y-axis component.

9.81ms^-2

Gravity; the constant downward acceleration applied to every object on the surface of Earth. Derivation: By using the equations of motion and the light gate data of a falling object, it can be fairly simple to calculate the acceleration of gravity.

Acceleration

Rate of Change of Velocity Colloquialism: speeding up / slowing down ms^-2

Velocity Time Graph

Slope { Constant Slope: Constant Acceleration; Greater Slope: Greater Acceleration; Constant Velocity (0 Slope): No acceleration; Changing Slope: Changing Acceleration; Negative: Decelerating; Positive: Accelerating; } Displacement is found in the area under the curve of the graph (taking the x-axis as a base).

Equations of Motion

These equations apply to systems of uniform acceleration in a straight line. They help describe the many aspects of motion, including initial and final velocity, time, displacement, and acceleration.

Projectile Motion

This concept utilizes the math of vector addition to make projectile motion easier to calculate. Horizontal Component: The force / acceleration/ any other quanitity is defined as a vector quantity along the x-axis. (Formula in another card) Vertical Component: The force / acceleration/ any other quanitity is defined as a vector quantity along the y-axis. (Formula in another card)

Change in v / Change in t

Acceleration; the rate of change of velocity. This is a vector quantity, including both magnitude and direction. Measured in ms^-2 .

Average Acceleration

Change in velocity / Time taken ms^-2