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Acceleration is a quotient of the change in velocity per interval of time. Therefore, as long as there is enough accelerative force to have a high quotient, then speed does not affect acceleration.

HOWEVER, in reality, such forces are not unlimited. Also, one must consider drag (aerodynamic and aquadynamic). So, yes, a boat (or car, or Olympic runner) will accelerate more swiftly from a slow speed to a high one, than from a high speed to an even higher one.

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