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Unformatted text preview: madrid (tmm2353) HW #12 Antoniewicz (56445) 1 This printout should have 30 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 7) 3.0 points A spacecraft is observed to be at loca tion ( 200 m , 300 m , 400 m ) relative to an origin located on a nearby asteroid, and 5 s later it is observed to be at location ( 475 m , 75 m , 700 m ) . Find the average ve locity of the spacecraft, v = ( v x , v y , v z ) . What is v x in m/s? Correct answer: 55 m / s. Explanation: The average velocity of the spacecraft is calculated by finding the change of position over a change in time: v = vectorr f vectorr i t . Because vectorr is a vector, the average velocity will also be a vector and each component must be calculated separately. For v x the value becomes: v x = v 2 x v 1 x t = (475 m) (200 m) (5 s) = 55 m / s 002 (part 2 of 7) 3.0 points What is v y in m/s? Correct answer: 45 m / s. Explanation: The average velocity of the spacecraft is calculated by finding the change of position over a change in time: v = vectorr f vectorr i t . Because vectorr is a vector, the average velocity will also be a vector and each component must be calculated separately. For v y the value becomes: v y = v 2 y v 1 y t = (75 m) (300 m) (5 s) = 45 m / s 003 (part 3 of 7) 2.0 points What is v z in m/s? Correct answer: 60 m / s. Explanation: The average velocity of the spacecraft is calculated by finding the change of position over a change in time: v = vectorr f vectorr i t . Because vectorr is a vector, the average velocity will also be a vector and each component must be calculated separately. For v z the value becomes: v z = v 2 z v 1 z t = ( 700 m) ( 400 m) (5 s) = 60 m / s 004 (part 4 of 7) 4.0 points What is  vectorv  in m/s? Correct answer: 93 . 0054 m / s. Explanation: The magnitude is calculated by:  vectorv  = radicalBig v 2 x + v 2 y + v 2 z = radicalBig (55 m / s) 2 + ( 45 m / s) 2 + ( 60 m / s) 2 = 93 . 0054 m / s 005 (part 5 of 7) 3.0 points madrid (tmm2353) HW #12 Antoniewicz (56445) 2 Find the unit vector in the direction of the velocity of the spacecraft, v = ( v x , v y , v z ) . What is v x ? Correct answer: 0 . 591364. Explanation: The unit vector for a vector is given as : v = ( v x , v y , v z ) = ( v x , v y , v z )  vectorv  For example: v x = v x  vectorv  = 55 m / s 93 . 0054 m / s = . 591364 006 (part 6 of 7) 3.0 points What is v y ? Correct answer: . 483843. Explanation: The unit vector for a vector is given as : v = ( v x , v y , v z ) = ( v x , v y , v z )  vectorv  For example: v y = v y  vectorv  = 45 m / s 93 . 0054 m / s = . 483843 007 (part 7 of 7) 2.0 points What is v z ?...
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 Fall '08
 Turner

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