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What is meant by take-off safety speed?

(a) Airspeed at which only the safe climb gradient is attained

(b) Airspeed at which only the directional control is attained

(c) Airspeed at which only the directional control is kept constant

(d) Airspeed at which both the safe climb gradient and directional control is attained

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I want to ask this question from Take-off Performance topic in division Take-off and Landing Performance of Aircraft Performance

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Correct answer is (d) Airspeed at which both the safe climb gradient and directional control is attained

The best explanation: The take-off safety speed is the airspeed at which both the safe climb gradient and directional control is attained. This condition is attained at the time of engine failure in the airborne state.

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