Ch1-HW2-solutions - schopper (as55864) Ch1-HW2 Antoniewicz...

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Unformatted text preview: schopper (as55864) Ch1-HW2 Antoniewicz (56465) 1 This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 7) 1.429 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 ( 425 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: 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 x the value becomes: v x = v 2 x v 1 x t = (425 m) (200 m) (5 s) = 45 m / s 002 (part 2 of 7) 1.429 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) 1.429 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) 1.429 points What is | vectorv | in m/s? Correct answer: 87 . 4643 m / s. Explanation: The magnitude is calculated by: | vectorv | = radicalBig v 2 x + v 2 y + v 2 z = radicalBig (45 m / s) 2 + ( 45 m / s) 2 + ( 60 m / s) 2 = 87 . 4643 m / s 005 (part 5 of 7) 1.429 points schopper (as55864) Ch1-HW2 Antoniewicz (56465) 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 . 514496. 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 | = 45 m / s 87 . 4643 m / s = . 514496 006 (part 6 of 7) 1.429 points What is v y ? Correct answer: . 514496. 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 87 . 4643 m / s = . 514496 007 (part 7 of 7) 1.429 points What is v z ?...
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This note was uploaded on 09/12/2011 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas at Austin.

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Ch1-HW2-solutions - schopper (as55864) Ch1-HW2 Antoniewicz...

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