Objects 1 & 2: Min Distance in s

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To determine the minimum distance between two objects moving towards each other, the initial positions and speeds are crucial. Object 1 starts at (-26.7, 0) and moves along the x-axis at 10.6 m/s, while Object 2 starts at (0, -39.3) and moves along the y-axis at 8.5 m/s. The time until they reach the minimum distance can be calculated using their respective speeds and positions. The approach involves setting up a distance function based on their trajectories and finding its minimum. The solution provides insight into the dynamics of relative motion between the two objects.
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Two objects 1 and 2 are moving towards each other, 1 along the x-axis and the 2 along the y axis. Initially, object 1 is at (- 26.7,0) (in m) moving at speed v 1 = 10.6 m/s, while 2 is at (0.-39.3) (in m) moving at speed v 2 = 8.5 m/s. How long does it take until the objects are at the minimum distance from each other? (give your answer in s)
 
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