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mitchell (jm56986) – HW #3 – montgomery – (24131) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A quarterback takes the ball from the line of scrimmage, runs backward for 15 yards, then runs sideways parallel to the line of scrim- mage for 11 yards. At this point, he throws a 25 yards forward pass straight downfield perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement? Correct answer: 14 . 8661 yards. Explanation: Let the x direction be parallel to line of scrimmage. Given : Δ y 1 = - 15 yards , Δ x = ± 11 yards , and Δ y 2 = 25 yards . Δ y tot = Δ y 1 + Δ y 2 = - 15 yards + 25 yards = 10 yards Δ x tot = Δ x = ± 11 yards The displacements are perpendicular, so d = radicalBig x tot ) 2 + (Δ y tot ) 2 = radicalBig ( ± 11 yards) 2 + (10 yards) 2 = 14 . 8661 yards . 002 10.0 points Which of the following are scalar quantities, which are vector quantities? a) velocity. b) age. c) speed. d) acceleration. e) temperature. 1. Vectors: age, temperature, speed; Scalars: velocity, acceleration 2. All are scalars. 3. Vectors: velocity, acceleration; Scalars: age, temperature, speed correct 4. All are vectors. 5. Vector: velocity; Scalars: age, tempera- ture, speed, acceleration Explanation: Speed is a measure of how fast something moves, measured by a unit of distance divided by a unit of time; a scalar quantity. Velocity is specified by describing both speed and the direction of motion; a vector quantity. Age is a measure of how long something exists; a scalar quantity. Acceleration is defined as changes in velocity divided by a certain time
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