The origin is on flat ground and the z-axis points upward.For time 0 t 10 in seconds and

Chapter 17, Problem 31

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The origin is on flat ground and the z-axis points upward.For time 0 t 10 in seconds and distance in centimeters,a particle moves along a path given byr = 2ti + 3tj + (100 (t 5)2)k .(a) When is the particle at the highest point? What isthat point?(b) When in the interval 0 t 10 is the particle movingfastest? What is its speed at that moment?(c) When in the interval 0 t 10 is the particle movingslowest? What is its speed at that moment?

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