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A block of ice with mass 6.00 kg is initially at rest on a frictionless, horizontal...

A block of ice with mass 6.00 kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force F⃗ to it. As a result, the block moves along the x-axis such that its position as a function of time is given by x(t)=αt2+βt3, where α = 0.210 m/s2 and β = 2.07×10−2 m/s3 .Calculate the velocity of the object at time t = 3.50 s .Calculate the magnitude of F⃗ at time t = 3.50 s . Calculate the work done by the force F⃗ during the first time interval of 3.50 s of the motion.

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