Learning Goal: To analyze the motion of a particle using a translating frame of reference. Two particles, A and B, are m

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Learning Goal To Analyze The Motion Of A Particle Using A Translating Frame Of Reference Two Particles A And B Are M 1 (143.96 KiB) Viewed 37 times

Learning Goal: To analyze the motion of a particle using a translating frame of reference. Two particles, A and B, are moving along arbitrary paths and are at positions and rẻ from a common origin. The relative position of point B with respect to A is designated by a relative-position vector TBA and is specified with the equation FB = FA+FBA Taking the time derivative of the relative-position equation above results in the following equation that relates the velocities of the particles, V and VB, with the relative- velocity vector VBA: VA+V BA VB Taking the time derivative of the above relative velocity equation results in the following equation that relates the accelerations of the particles, a and ag, with the relative-acceleration vector aBA: aß = a +аBA Figure 1 of 2> Part A ✓ A cruise ship is traveling at a speed of v₁ = 21.4 ft/s. A speedboat with a late passenger is heading toward the cruise ship at an angle of 0 = 53.5°; its speed is 12 = 35.2 ft/s. (Figure 1) What is, the magnitude of the speedboat's velocity relative to the cruise ship? Express your answer numerically to three significant figures in feet per second. ▸ View Available Hint(s) v = 22.0 ft/s Submit ✓ Correct Part B As the speedboat approaches the cruise ship, it encounters an ocean current that is moving at v3 = 7.90 ft/s and that is oriented at an angle = 49.0°. (Figure 2) What are ₂ and y, the scalar components of the speedboat's velocity relative to the cruise ship as the speedboat crosses this ocean current? Express your answers numerically to three significant figures in feet per second separated by a comma. ▸ View Available Hint(s) Vz.Vy = Previous Answers Submit Provide Feedback VAZQ Ivec Part C Complete previous part(s) ? ft/s Next >