PHY 02 Lesson 6: Deriving Kinematic Equations and Free Fall

Uniformly Accelerated Motion (UAM)

means motion in a straight line where the acceleration is constant.

Deriving Kinematic Equations

is an obtaining or developing equation from a basic or original equation.

First UAM Equation

𝑽𝒇 = 𝑽𝒐 + 𝒂𝒕

Second UAM Equation

𝒅 =(𝑽𝒇 + 𝑽𝒐/𝟐)𝒕

Third UAM Equation

𝒅 =𝑽𝒇^𝟐− 𝑽𝒐^𝟐/𝟐𝒂

Fourth UAM Equation

𝒅 = 𝑽𝒐𝒕 +𝟏/𝟐𝒂𝒕^𝟐

Free Fall

It is a state of a body that moves freely in any manner in the presence of gravity.

Air Resistance

The air "resists" the object's movement, slowing it down by friction that is created as the object collides with air molecules.

Free Fall Formulas

𝑽 = 𝒖 + 𝒈𝒕

𝒗𝟐 = 𝒖^𝟐 + 𝟐𝒈𝒅

𝒅 = 𝒖𝒕 +𝟏/𝟐𝒈𝒕^𝟐

final velocity

v

initial velocity

u

acceleration due to gravity (𝟗. 𝟖 𝑚/𝑠^2)

g

time in SECONDS

t

Distance fallen in METERS

d