On Your Marks...!!!!!!

Sara's Struggle; A Race Against Time

A Prologue... | Chapter One | Chapter Two | Chapter Three | Chapter Four | Chapter Five | The Epilogue... | Just for Giggles.

Sara Decided to show off her atheletic ability by Running a 30 meter race. She did this twice, which gives us these graphs of her acceleration/ decceleration and velocity curves.

The First Run

Client’s Run Data

Sara Chin's Run Data 2, Data

Time (Seconds)           Position (Meters )

0.000                                  0.000

0.530                                  2.000

1.060                                  4.000

1.470                                  6.000

1.730                                  8.000

2.460                                 10.000

2.620                                 12.000

2.900                                 14.000

3.100                                 16.000

3.840                                 18.000

3.930                                 20.000

4.590                                 22.000

4.440                                 24.000

4.960                                 26.000

5.120                                 28.000

5.750                                 30.000

The Run of the Number One
sarasonerun.jpg

The Second Run

The Run of the Number Two
sarastworun.jpg

Sara's Velocity and Acceleration factors using a Trendline

Hand Written Work
scratchworkforsara.jpg
*The main line is a TRENDLINE, which denotes the average velocity of sara's run.

Athlete’s Average velocity: 

 

Linear equation of trend line: y=mx + b

                                                0= (5.22)0 + b

                                                b=0

                                                y= 5.45x

                                             

y= athlete’s position in meters

x= the amount of time for the athlete to run the race.

m= average velocity of the athlete

b= position of the athlete at 0 seconds   

 

Instantaneous velocity at 16m = 4.255m/s

 

Prediction of the athlete time at 50.00m

 y=mx + b

 50= (5.22) x

  x= 9.58

 

 

I would recommend the runner to do more exercise and to keep up her stamina she has very little endurance and she need to run faster. Some of the problems

From 0 to 1.5 sec she runs 6 meters with a constant accelerating

1.5 to 4 sec she ran 7 more meters with lots of constants and accelerating and decelerating.

And 4 sec to 6 sec she ran 6 more meters again increasing and decreasing with a constant speed.

Emily Todd, Sara Chin, Arturo Rojas, Shea Calvin