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Analysis of Rocket B's Velocity Using Riemann Sums

This document explores the velocity of Rocket B over a specific time frame, employing the concept of Riemann sums to calculate the average velocity between 10 and 70 seconds. With an initial velocity of v(0) = 2 ft/s, we investigate the acceleration a(t) as the derivative of velocity and identify the implications of these calculations on Rocket B's performance at t = 80 seconds. We conclude that Rocket B is faster than its counterparts at this moment, emphasizing the importance of understanding these principles in physics.

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Analysis of Rocket B's Velocity Using Riemann Sums

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  1. FRQ #4 2006 BY: Liza Honorio

  2. NOTE: NO CALCULATOR

  3. NOTE: ACCELERATION a(t) is derivative of velocity ***Derivative means slope***

  4. Means the distance, in feet the rocket has traveled between 10 seconds and 70 seconds

  5. Velocity of the Rocket Midpoint Riemann Sum: Velocity v(t) Time t

  6. Velocity of Rocket B= NOTE: SUBSITIUTION IS NEEDED

  7. NOTE: INITIAL CONDITION: v(0)=2 Conclusion: Rocket B is faster at t=80 seconds Velocity of Rocket B

  8. Citations Question from http://apcentral.collegeboard.com Pictures from www. google.com Song from www.youtube.com

  9. Luke, I am your father! YESSSS!! THE END

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