Free fall By Khudaibergenov Bekhzod Contents

Free fall

• By Khudaibergenov Bekhzod

Contents:

• 1. Introduction
• 2. Free fall equations key
• 3. Some exapmles
• 4. Free fall equations
• Used literature

Introduction

• Free Fall
• • motion caused only by gravity
• • all objects fall at the same rate
• - works in a vacuum: area with no air
• - ignores air resistance
• Acceleration Due to Gravity
• is a constant.
• is called g
• is = 10 m/s2 on surface of earth
• is different on the moon, but still constant

Free Fall Equations Key

• vv= vertical velocity (in m/s)
• dv = vertical distance (in meters)
• g = acceleration due to gravity (10 m/s2)
• t = time (in seconds)

Vertical Velocity Equation

Vertical Distance Equation

Time to Fall Equation

1.) How fast will a ball be traveling if it falls for 5 seconds?

• Data
• Equation
• Math
• Answer

• t = 5 seconds
• g = 10 m/s2
• • vv = gt
• vv = 10(5)
• vv = 50 m/s

2. An apple falls out of a tree and takes 1.75 seconds to strike the ground. How high was the apple from the ground?

• Data
• Equation
• Math
• Answer

• t = 1.75 seconds
• g = 10 m/s2
• dv = 0.5gt2
• dv = 0.5(10)(1.75)2
• dv = 0.5(10)(3.06)
• dv = 0.5(30.6)
• dv = 15.3 m

3. A plane drops a C.A.R.E. package to some needy people in the jungle from a height of 1000 m. How long will it take the package to strike the ground?

• Data
• Equation
• Math
• Answer

• dv = 1000 m
• g = 10 m/s2
• • t = √2dv/g
• t = √2(1000)/10
• t = √2000/10
• t = √200
• t = 14.1 seconds

Free Fall Equations

•  Vertical Velocity
• Steps
• 1. Multiply g times time 
• Vertical Distance 
•   Steps
• 1. Square time (multiply by itself)
• 2. Multiply by g
• 3. Multiply by 0.5
• Time to Fall 
• Steps
• 1. multiply dv times 2
• 2. divide by g
• 3. Press =
• 4. Press the square root button

• Key: vv= vertical velocity (in m/s)
• dv = vertical distance (in meters)
• g = acceleration due to gravity (10 m/s2) t = time (in seconds)

Used literature

• 1. Must-Know High School Physics by Christopher Bruhn
• 2. Basic Physics: A Self-Teaching Guide by Karl F. Kuhn
• 3. Fundamentals of Physics I: Mechanics, Relativity, and Thermodynamics by R. Shankar