ExtraCreditProb1

ExtraCreditProb1 - b)What is the instantaneous velocity v t...

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PHY2048 Extra credit problem (CH1,2,3) Instructor: Lei Guo Student Name:__________ Student Panther ID_____________ An object is moving in a circular motion with a constant speed. The circle has its center at the origin, and the radius is r. Its x and y positions are both functions of time. Suppose you are given these functions: x(t)=rcos ω t and y(t)=r-rsin ω t (In later chapter we will learn what w means). Assume the value of ω t is between 0 and π /2 (90 0 ). For this object, a)What is the position vector r ( t ) in its component form at any given time t?(2pt)
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Unformatted text preview: b)What is the instantaneous velocity v ( t ) in its component form at any given time t? (4pt) c)What is the instantaneous acceleration a ( t ) in its component form at any given time t? (4pt) d)What is the angle of the velocity vector at time t, against +x direction? (3pt) e) What is the angle of the acceleration vecltor at time t, against +x direction? (3pt) f)What is the angle between the velocity vector and the acceleration vector? (2pt) g)What is the magnitude of the velocity expressed in terms of ω and r?...
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