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Acceleration = change in speed

                            time

Change in speed = speed at end - speed at start = 9.6 m/s - 0 = 9.6 m/s

Therefore:

4 ms-2 = 9.6 m/s 

                  t 

Therefore:

t = 9.6 m/s ÷ 4 s = 2.4 s