Answer :
Final answer:
The velocity of the plank relative to the ice surface is -1.58 î m/s, and the girl's velocity relative to the ice surface is also -1.58 î m/s.
Explanation:
To determine the velocity of the plank relative to the ice surface, you can use the law of conservation of momentum. The total momentum before the girl starts walking is zero, since both the girl and the plank are at rest. After the girl starts walking, the total momentum remains zero, so the plank must move in the opposite direction of the girl's velocity relative to the plank. Therefore, the velocity of the plank relative to the ice surface would be -1.58 î m/s.
The girl's velocity relative to the ice surface can be found by adding her velocity relative to the plank to the velocity of the plank relative to the ice surface. Since the girl and the plank move in opposite directions, their velocities should be subtracted. So the girl's velocity relative to the ice surface would be (0 - 1.58) î m/s, which simplifies to -1.58 î m/s.
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