# Problem: 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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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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