The origin is on flat ground, and the z-axis points upward. for time 0 ≤ t ≤ 10, a particle moves along a path given by ⃗r(t) = 2ti + 3tj + (100 − (t − 5)2 ) ⃗k. for what time(s) 0 ≤ t ≤ 10 is the particle at its highest point and what is its position then? for what time(s) 0 ≤ t ≤ 10 is the particle moving fastest? what is the fastest speed? for what time(s) 0 ≤ t ≤ 10 is the particle moving slowest? what is the slowest speed?
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The origin is on flat ground, and the z-axis points upward. for time 0 ≤ t ≤ 10, a particle moves al...
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