The graph of velocity versus time for a particle going along the X-axis is depicted in the figure. Find the distance travelled in 0 to 10 s in meters.

Step-by-step solution

The distance travelled by the particle is given by the area under the velocity-time graph. The region under the graph from t = 0 to t = 10 s is a trapezium with parallel sides of lengths 2 m/s and 8 m/s , and a height of 10 s . Distance = Area of trapezium = 1 2 ( sum of parallel sides ) time interval Distance = 1 2 (2 + 8) 10 Distance = 1 2 10 10 = 50 m