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SOLUTION :
!00m completed in 12 sec.
Initial speed = 0 m/s
Run for 2.6 sec at constant acceleration ax and then runs at constant speed.
Speed after 2.6 sec = ax * 2.6 = 2.6 ax m/s
Average speed during first 2.6 sec of acceleration = (2.6 ax + 0)/2 = 1.3 ax m/s
So, we can consider run of 2.6 sec. at average speed of 1.3 ax m/s and remaining 9.4 sec at the speed of 2.6 ax
So,
Distance run in 12 sec = 1.3 ax * 2.6 + 2.6 ax * 9.4
=> 100 = 3.38 ax + 24.44 ax
=> 100 = 27.82 ax
=> ax = 100/27.82
=> ax = 3.595 m/s^2 approx. (ANSWER).
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