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PRESENTED BY DANIEL LIN Mock Examination !!! 8. Flying Objects

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Visualize – In Soviet Russia, guns shoot bullets. v(x), the speed of the bullet as a function of its position in the wall. L, the path length of the bullet within the wall. L

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Visualize – Initial Conditions Moment of Entry Speed at Entry Moment of Exit Speed at Exit

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Calculations Acceleration function: Separable! Use the initial conditions to find k! MAGIC !

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Calculations Two initial conditions: And …

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Calculations We now have the velocity function with respect to time… NOT GOOD ENOUGH! We need

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More calculations… With every questions that you think you know the answer to. Ken wants you to learn modesty.

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More calculations… Ken’s “Hint” Re-Write the original acceleration function: Separable & Solve

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Almost done We already know When position x(0) = 0, the velocity is Solve for c MAGIC !

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And v(x) is… Plug in the constant: Now we need to find L (The distance traveled during that 0.01 seconds.) We know the bullet exits the wall at

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Conclusion Wouldn’t you like to know? That pakalolo plant ready for harvest?

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Motion and Speed. An object is in motion if it changes position relative to a reference point Stationary objects make good reference points.

Motion and Speed. An object is in motion if it changes position relative to a reference point Stationary objects make good reference points.

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