The acceleration (a) - time (T) graph for the body starting from rest is given below. The maximum speed of the body is

Step-by-step solution

The area under the acceleration–time graph represents the change in velocity. Given initial velocity u = 0 , m/s , the maximum speed occurs at t = 10 , s since acceleration is positive throughout. The graph forms a right triangle from t = 0 to t = 10 seconds, with base 10 , s and height 8 , m/s ^2 . The area is 1 2 10 8 = 40 , m/s . Thus, v_ max = 40 , m/s . The correct option is A.