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A Rocket,speeding Along Toward Alpha Centauri,has an Acceleration A(t)= At2

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A rocket,speeding along toward Alpha Centauri,has an acceleration a(t) = At2.Assume that the rocket began at rest at the Earth (x = 0) at t = 0.Assuming it simply travels in a straight line from Earth to Alpha Centauri (and beyond) ,what is the ratio of the speed of the rocket when it has covered half the distance to the star to its speed when it has travelled half the time necessary to reach Alpha Centauri?

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Definitions:

Demand

The quantity of a good or service that consumers are willing and able to purchase at a given price over a specified period of time.

Constraint

A limitation or restriction in a problem-solving or decision-making process, often imposed by the requirements or conditions of a scenario.

Cutting Pattern

A specified arrangement or plan for cutting materials, used in manufacturing or textile production to maximize efficiency or output.

Solver

A tool or algorithm used to find the solution to mathematical problems or optimize certain parameters within constraints.

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