An object's velocity is measured to be vx(t) = α − βt2, where α = 4.00 m/s and β = 2.00 m/s3. At t = 0 the object is at x = 0.
(a) Express the object's position as a function of time.
(b) Express the object's acceleration as a function of time.
(c) What is the object's maximum positive displacement from the origin?
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