Unit2_assignment.docx - PHY 1001 Unit Two – Motion in 2...

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PHY 1001 Unit Two – Motion in 2 and 3 Dimensions Mathematical Assignment 1. Identify the vector and scalar quantities from the following list. {Temperature, weight, displacement, velocity, speed, time, mass, acceleration} Vector Scalar Weight, displacement, velocity, acceleration are vector quantities. Temperature, speed, time, mass are scalar quantities. 2. A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the resulting displacement vector? Key Idea Stock of Data and 2 2 1 2 1 2 tan 2 cos resul t S s s s s 1 2 0 4.0 3.0 90 s kmnorth s km west anglebetweennorthnd west Solution 1 2 0 2 2 1 2 1 2 2 2 4.0 3.0 90 tan 2 cos 4.0 3.0 2 4.0 3.0 cos90 5.0 s kmnorth s km west anglebetweennorthnd west resul t S s s s s S km km km km S km Sanity Check
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Unit analysis: 2 2 unit of S s km km km Estimation of magnitude: 2 2 4.0 3.0 2 4.0 3.0 cos90 5.0 S S 3 From the previous problem, what is the direction of the displacement vector in degrees from North? Round to 2 digits. Key Idea Stock of Data and 1 2 1 tan direction s s 2 1 3.0 4.0 S km S km Solution 1 2 1 1 0 tan 3.0 tan 4.0 37 direction s s km km west of North Sanity Check Unit analyses: unit of angle is degree Estimation of magnitude:
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1 3.0 tan 4.0 37 4. Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast, and finally 2 km south, and arrives at landmark B. What is the distance traveled, and the magnitude of the displacement between the two landmarks?
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