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Pirates Of The Caribbean and Projectile Motion: Rachelle Vaughn rbv104@psu.edu . Projectile Motion. Projectile motion- The path an object travels through space.
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Pirates Of The Caribbean and Projectile Motion: Rachelle Vaughn rbv104@psu.edu
Projectile Motion • Projectile motion- The path an object travels through space. • I am Proving that Jack will not be able to make it clear across the cliff by launching himself into the air with the stick tied to him.
Movie Explanation • Captain Jack gets tied to a bamboo stick and he gets hunted and gets fruit thrown at him which ironically gets stuck to each end of the stick. He tires to escape by a catapulting launch with the top of the stick across the cliff.
Estimates • Stick length- .09 m • Mass weight- 185 lbs • Time- 3.80 seconds • Distance- .34 m • Starting angle-40°
Calculations • D=Vxt • 34m = Vx(3.8) Vx = VicosΘ • 34m/3.8 8.95m/s = Vi (cos40°) • Vx = 8.95 m/s Vi = 11.68 m/s (3600s)( 1min ) • hr 1609m • Vi = 26 mph • Explanations: • I first took the first equation which was distance = velocity x time which gave me the distance that he was running. The second equation I simply plugged in the distance to the equation to find the speed that he was running and after multiplying anf dividing out the numbers that were found I got that Jack was running 26mph.
Formulas • D=Vxt • Vx=Vi cos Θ • H=1/2 gt 2
What should have happened..... Vx= 8.95m/s *If he was running at 8.95m/s he would be going down when running off the cliff. He would drop a total of 47m, which is halfway down the cliff from where he originally landed.*
Comparison • Top speed of an olympic sprinter- 2.31 m/s • He was running 11.68 m/s • He is going 5 times the speed of an olympic sprinter. • In the calculations I found Jacks speed which was 26mph. After plugging the olympic runners speed in we got 5.17mph. That wouldd prove that Jack is running 5 times the speed of an olympic runner. • **** Vx = VicosΘ**** • 2.31m/s = (3600)( 1 ) Vx = 5.17 mph • hr 1609
Conclusion • In conclusion Captain Jack will not be able to make it clear across the cliff because he will come too short of the other edge.
Works Cited • "Johnny Depp - Wikipedia, the Free Encyclopedia." Main Page - Wikipedia, the Free Encyclopedia. Web. 12 Apr. 2010. <http://en.wikipedia.org/wiki/Johnny_Depp>. • Online Conversion - Convert Just about Anything to Anything Else. Web. 12 Apr. 2010. <http://www.onlineconversion.com/>.