Solving for Objects in Free Fall Using the Math Physics

Let’s look at some equations d = v o t + (1/2)gt 2 v f 2 = v o 2 + 2gd v f = v o + gt Questions How do we calculate when an object is in free fall? Facts We use three equations when an object is in free fall

SymbolMeaningUnit(s) d Distance/displacement m vo vo Initial velocity m/s t time s g gravity 10m/s 2 d = v o t + (1/2)gt 2

d = v o t + ( ½ )gt 2 This equation allows for me to solve for : d t

v f 2 = v o 2 + 2gd SymbolMeaningUnit(s) vf vf Final velocity m/s vo vo Initial velocity m/s d Distance/displacment m g gravity 10m/s 2 Be sure to take the square root to solve for final velocity

v f 2 = v o 2 + 2gd This equation allows for me to solve for : vfvf d

v f = v o + gt SymbolMeaningUnit(s) vf vf Final velocity m/s vo vo Initial velocity m/s t time s g gravity 10m/s 2

v f = v o + gt This equation allows for me to solve for : vfvf t

Understanding the equations Questions When an object is at rest before it falls, what is the initial velocity (v o )? Facts Zero

Free Fall vs. Other Equations Questions Why can’t we use v = d/t or a = v/t for free falling objects? Facts Because neither equation takes gravity into consideration

Understanding the equations Questions What do all the free fall equations have that confirms that something is falling? Facts Gravity

Free Fall vs. Other Equations Questions Why can’t we use v = d/t or a = v/t for free falling objects? Facts Because neither equation takes gravity into consideration

Understanding the equations Questions How 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?