An experiment on the take-off performance of an aeroplane shows that the acceleration varies as shown in the figure-1.133, and that it takes 12 s to take off from a rest position. The distance along the runway covered by the aeroplane is:

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For 0 - 6 s, a = 6 5 ​ t , so v = 12 5 t 2 ​ , v ( 6 ) = 15 m/s and distance = 36 5 × 6 3 ​ = 30 m. For 6 - 12 s at a = 5 : s = 15 ( 6 ) + 2 1 ​ ( 5 ) ( 36 ) = 180 m. Total = 210 m. Option A.

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