The x - t graph of a particle is displayed in the figure. Determine the time t , in seconds, such that the average velocity of the particle during the period 0 to t is zero.

Step-by-step solution

The average velocity of a particle is given by the total displacement divided by the total time taken. v_ avg = x(t) - x(0) t - 0 For the average velocity to be zero, the displacement must be zero, which implies x(t) = x(0) . From the given x - t graph, the initial position of the particle at t = 0 is x(0) = 20 m. The particle must return to the position x = 20 m for the displacement to be zero. Observing the graph, the horizontal line at x = 20 m intersects the curve again at t = 12 s. Therefore, the time t such t