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HW #1-2-solutions

# HW #1-2-solutions - madrid(tmm2353 HW#1-2 Antoniewicz(56445...

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madrid (tmm2353) – HW #1-2 – Antoniewicz – (56445) 1 This print-out should have 30 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 (part 1 of 7) 3.0 points A spacecraFt is observed to be at loca- tion a 200 m , 300 m , 400 m A relative to an origin located on a nearby asteroid, and 5 s later it is observed to be at location a 475 m , 75 m , 700 m A . ±ind the average ve- locity oF the spacecraFt, ¯ v = a v x , v y , v z A . What is v x in m/s? Correct answer: 55 m / s. Explanation: The average velocity oF the spacecraFt is calculated by fnding the change oF position over a change in time: ¯ v = Vr f i Δ t . Because is a vector, the average velocity will also be a vector and each component must be calculated separately. ±or ¯ 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 fnding the change oF position over a change in time: ¯ v = f i Δ t . Because is a vector, the average velocity will also be a vector and each component must be calculated separately. ±or ¯ 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 fnding the change oF position over a change in time: ¯ v = f i Δ t . Because is a vector, the average velocity will also be a vector and each component must be calculated separately. ±or ¯ 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 | Vv | in m/s? Correct answer: 93 . 0054 m / s. Explanation: The magnitude is calculated by: | | = r v 2 x + v 2 y + v 2 z = r (55 m / s) 2 + ( 45 m / s) 2 + ( 60 m / s) 2 = 93 . 0054 m / s 005 (part 5 of 7) 3.0 points

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madrid (tmm2353) – HW #1-2 – Antoniewicz – (56445) 2 Find the unit vector in the direction of the velocity of the spacecraft, ˆ v = a ˆ v x , ˆ v y , ˆ v z A . What is ˆ v x ? Correct answer: 0 . 591364. Explanation: The unit vector for a vector is given as : ˆ v = a ˆ v x , ˆ v y , ˆ v z A = a v x , v y , v z A | Vv | For example: ˆ v x = v x | | = 55 m / s 93 . 0054 m / s = 0 . 591364 006 (part 6 of 7) 3.0 points What is ˆ v y ? Correct answer: 0 . 483843. Explanation: The unit vector for a vector is given as : ˆ v = a ˆ v x , ˆ v y , ˆ v z A = a v x , v y , v z A | | For example: ˆ v y = v y | | = 45 m / s 93 . 0054 m / s = 0 . 483843 007 (part 7 of 7) 2.0 points What is ˆ v z ? Correct answer: 0 . 645124. Explanation: The unit vector for a vector is given as : ˆ v = a ˆ v x , ˆ v y , ˆ v z A = a v x , v y , v z A | | For example: ˆ v z = v z | | = 60 m / s 93 . 0054 m / s = 0 . 645124 008 (part 1 of 7) 3.0 points Here are the positions at three di±erent times for a bee in ²ight (a bee’s top speed is about 7 m/s .
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HW #1-2-solutions - madrid(tmm2353 HW#1-2 Antoniewicz(56445...

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