A vehicle position is described by the polar coordinates r = 2(1 + cos3t)m and θ = 2e−3t rad, where t is in seconds and the argument for the cosine function is in radians. Determine speed (magnitude of velocity) and the acceleration of the vehicle when t = 2pi/3.
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A vehicle position is described by the polar coordinates r = 2(1 + cos3t)m and θ = 2e−3t rad, where t is in seconds and the argument for the cosine function is in radians. Determine speed (magnitude of velocity) and the acceleration of the vehicle when t = 2pi/3.
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- one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units UnitsAn object's velocity as a function of time in one dimension is given by the expression; v(t) = 3.8t + 6.68 where are constants have proper SI Units. At what time is the object's velocity 61.2 m/s?
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