Problem: A rocket-propelled object of mass 42.5kg is initially at rest in the middle of the flat, frictionless surface of an ice-covered lake. When the rockets fire, a force directed east and with magnitude F(t)= (15.6N/s)t is applied.
Part I: How far does the object travel in the first 4.00s after the force is applied?
Please give a full detailed explanation of solution.