mt1_review_friday

mt1_review_friday - Midterm 1 Review Aritoki Suzuki...

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Midterm 1 Review Aritoki Suzuki September 28th 2007 I have not seen Professor’s final exam. Professor does not endorse this review as good simulation of his exam. If you have a question about the review problems, e-mail Aritoki Suzuki at [email protected] I designed this midterm so it will simulate midterm (2 hours, 6 problems). Good luck on a midterm exam. Some useful mathematics sin(2 θ ) = 2sin( θ )cos( θ ) ( a 3 - b 3 ) = ( a - b )( a 2 + ba + b 2 ) 1

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1 Mathematical Representation of Position v.s. Ve- locity v.s. Acceleration Position of a particle is described by: vectorx ( t ) = At 2 + Bt + C 1. Find velocity as function of time (find vectorv ( t ) ) 2. Find acceleration as function of time (find vectora ( t ) ) 3. Find time(s) when displacement is 0 m 4. Find average velocity between t 1 and t 2 5. Given A = - 10 and B = 50 , at what time(s) speed = 10 m s ? 6. Now modify position function to vectorx ( t ) = At 3 + Bt 2 + Ct , and do problem 1-4. Did you have trouble solving problem 4?
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