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A mysterious rocket-propelled object of mass 47.5 kg is initially at rest in the middle of the horizontal, frictionless surface of an ice-covered lake. then a force directed east and with magnitude f(t)= (15.7 n/s )t is applied.

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Final answer:

The question focuses on how a time-dependent force affects the acceleration and velocity of a rocket-propelled object with a specific mass on a frictionless surface.

Step-by-step explanation:

The student's question relates to a scenario where a rocket-propelled object with a certain mass is at rest on a frictionless surface, and a time-dependent force is being applied. This question encompasses concepts such as Newton's laws of motion, momentum, and force. Since the object starts at rest and only has a force applied in one direction, we are interested in how this force affects the object's acceleration and subsequently its velocity over time.

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