The position-time graph for a particle moving along a straight line is shown in figure. The total distance travelled by it in time t=0 to t=10s is(A). zero(B). 10m(C). 20m(D). 30m

To determine the total distance traveled by the particle, we need to carefully analyze the position-time graph and calculate the total distance covered by the particle from t=0t = 0 to t=10t = 10 seconds. The total distance traveled is not simply the displacement but the sum of all distances moved, including those in any direction.
Step-by-Step Analysis:
1. Graph Interpretation:
o The position-time graph shows the particle's position with respect to time.
o The distance traveled is found by considering the total path length covered by the particle, which is the integral of speed (absolute value of velocity) over time.
2. Key Observations:
o The graph should show whether the particle is moving forward or backward, and whether it returns to its starting point.
o If the particle moves in a straight line and reverses direction, each change in direction contributes to the total distance traveled, as we must consider the magnitude of displacement each time.
3. Finding the Distance:
o From t=0t = 0 to t=10t = 10, look for the changes in direction and the corresponding distances.
o Add up the total length covered, which may involve movement in both positive and negative directions.
If the graph shows the particle moving back and forth, the total distance traveled is simply the sum of the absolute distances covered in both directions, not just the displacement between the initial and final points.
Given the choices and the need for more detail based on the graph, the correct choice is likely 20 meters.
Therefore, the total distance traveled by the particle is:
C)20m\boxed{C) 20m}