The maximum velocity reached by the person is determined as 11.1 m/s.
The area under the velocity time graph is the total displacement of the person.
Total Area = area of triangle formed during first 2 seconds + area of rectangle during the last 8 seconds
100 = ¹/₂(2v) + v(11 - 2)
where;
100 = v + 8v
100 = 9v
v = 100/9
v = 11. 1 m/s
Thus, the maximum velocity reached by the person is determined as 11.1 m/s.
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