Unformatted text preview: omponents – This gives Rx: Adding Vectors Algebraically, cont. • Add all the y components – This gives Ry: • Use the Pythagorean Theorem to ﬁnd the magnitude of the resultant: • Use the inverse tangent func8on to ﬁnd the direc8on of R: Ch 3, Problem 12: A ﬁgure skater glides along a circular path of radius 5.00m. If she coasts around one half of the circle, ﬁnd a) the magnitude of displacement vector b) the distance she skated c) what is the magnitude of the displacement if she stakes all the way around the circle? a) vector OA is the displacement vector OA = 2 x radius of circle = 2 x 5 = 10 m
b) the distance she skated = 1/2 x 2pieR = pieR = 15.7m
c) displacement = Null vector = o vector Mo8on in Two Dimensions Displacement • The posi8on of an object is described by its posi8on vector, • The displacement of the object is deﬁned as the change in its posion – – SI unit: meter (m) Velocity • The average velocity is the rate of change of displacement in 8me • The instantaneous velocity is the limit of the average velocity as Δt approaches zero. • The direc8on of the instantaneous...
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 Winter '14
 Vector Space, Velocity, mo8on

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