solving for objects in free fall using the math physics

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Solving for Objects in Free Fall Using the Math Physics

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Solving for Objects in Free Fall

Using the Math

Physics

Let’s look at some equations

d = vot + (1/2)gt2

vf 2= vo2 + 2gd

vf = vo + gt

Questions

How do we calculate when an object is in free fall?

FactsWe use three equations when an object is in free fall

Symbol Meaning Unit(s) 

d

Distance/displacement

 vo Initial velocity  m/s 

t  time

 s

gravity

10m/s2

d = vot + (1/2)gt2

d = vot + ( ½ )gt2

This equation allows for me to solve for :

d

t

vf 2= vo2 + 2gd Symbol Meaning Unit(s)

 

vf 

Final velocity

m/s

 

 vo Initial velocity  m/s 

d  Distance/displacment

 m

gravity

10m/s2

Be sure to take the square root to solve for final velocity

vf 2= vo2 + 2gdThis equation allows for me to solve for :

vf

d

vf  = vo + gt

Symbol Meaning Unit(s) 

vf 

Final velocity

m/s

 

 vo Initial velocity  m/s 

t  time

 s

gravity

10m/s2

vf  = vo + gt This equation allows for me to solve for :

vf

t

Understanding the equations

QuestionsWhen an object is at rest before it falls, what is the initial velocity (vo)?

Facts

Zero

Free Fall vs. Other Equations

QuestionsWhy can’t we use v = d/t or a = v/t for free falling objects?

FactsBecause neither

equation takes gravity into consideration

Understanding the equations

QuestionsWhat do all the free fall equations have that confirms that something is falling?

Facts

Gravity

Free Fall vs. Other Equations

QuestionsWhy can’t we use v = d/t or a = v/t for free falling objects?

FactsBecause neither

equation takes gravity into consideration

Understanding the equations

QuestionsHow do the free fall equations support that mass, weight, shape, etc. do not impact something as it in free fall?

Facts

Mass, weight, volume, etc are not included in the equations

Applying Equations

Let’s use the formulas do to the sample problems.

Class work/ Homework

Complete the practice exercises

Closing

Choose the correct formula

1. If given time, and you need to find the height of something, which equation should you use?

2. If given time and you need to find how fast something falls?