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Ch1-H2-solutions

# Ch1-H2-solutions - louey(cal2859 Ch1-H2 florin(56930 This...

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louey (cal2859) – Ch1-H2 – florin – (56930) 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(part1of7)3.0points 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 ( 350 m , 150 m , 550 m ) . Find the average velocity of the spacecraft, ¯ v = ( v x , v y , v z ) . What is v x in m/s? Correct answer: 30 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 = (350 m) (200 m) (5 s) = 30 m / s 002(part2of7)3.0points What is v y in m/s? Correct answer: 30 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 = (150 m) (300 m) (5 s) = 30 m / s 003(part3of7)3.0points What is v z in m/s? Correct answer: 30 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 = ( 550 m) ( 400 m) (5 s) = 30 m / s 004(part4of7)2.0points What is | vectorv | in m/s? Correct answer: 51 . 9615 m / s. Explanation: The magnitude is calculated by: | vectorv | = radicalBig v 2 x + v 2 y + v 2 z = radicalBig (30 m / s) 2 + ( 30 m / s) 2 + ( 30 m / s) 2 = 51 . 9615 m / s 005(part5of7)3.0points

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louey (cal2859) – Ch1-H2 – florin – (56930) 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 . 57735. 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 | = 30 m / s 51 . 9615 m / s = 0 . 57735 006(part6of7)3.0points What is ˆ v y ? Correct answer: 0 . 57735. 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 | = 30 m / s 51 . 9615 m / s = 0 . 57735 007(part7of7)3.0points What is ˆ v z ? Correct answer: 0 . 57735. 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 z = v z | vectorv | = 30 m / s 51 . 9615 m / s = 0 . 57735 008(part1of7)3.0points Here are the positions at three different times for a bee in flight (a bee’s top speed is about 7 m/s .
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