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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 Δ 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 Δ 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 Δ 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 Δ 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 Δ 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 Δ 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, ˆ v = ( ˆ v x , ˆ v y , ˆ v z ) . What is ˆ v x ? Correct answer: 0 . 591364. Explanation: The unit vector for a vector is given as : ˆ v = ( ˆ v x , ˆ v y , ˆ v z ) = ( v x , v y , v z )  vectorv  For example: ˆ v x = v x  vectorv  = 55 m / s 93 . 0054 m / s = . 591364 006 (part 6 of 7) 3.0 points What is ˆ v y ? Correct answer: − . 483843. Explanation: The unit vector for a vector is given as : ˆ v = ( ˆ v x , ˆ v y , ˆ v z ) = ( v x , v y , v z )  vectorv  For example: ˆ v y = v y  vectorv  = − 45 m / s 93 . 0054 m / s = − . 483843 007 (part 7 of 7) 2.0 points What is ˆ v z ?...
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This note was uploaded on 11/15/2011 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas.
 Fall '08
 Turner

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