The acceleration ( a ) -time ( t ) graph for the body starting from rest is as shown in the figure. The maximum speed of the body is

Step-by-step solution

The change in velocity of a particle is equal to the area under its acceleration-time graph. Since the body starts from rest, its initial velocity u = 0 . The acceleration is positive from t = 0 to t = 10 s , which means the velocity continuously increases and reaches its maximum at t = 10 s . v_ max - u = Area of the triangle v_ max - 0 = 1 2 base height v_ max = 1 2 10 8 = 40 m/s Answer: 40 m/s