Unit2assignment.docx - PHY 1001 Unit Two Motion in 2 and 3...

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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 mass Displacement temperature Velocity speed Acceleration time 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 Pythagoras’ theorem 4.0km north 3.0km west Solution Resultant displacement = √(3 2 + 4 2 ) 5km North West Sanity Check 5 = √ (3 2 + 4 2 ) 5 = √ 25 5 = 5 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
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The direction is measured clockwise from north. Solution The angle between north and the resultant vector = tan inverse of (3/4) The angle = 36.87 o Direction of the vector from north 360 – 36.87 = 323.13 o from north Sanity Check 323.13 = 360 – 36.87 323.13 = 323.13 4. Proceeding from landmark A, a vehicle moves along city streets 10 km north,
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