Question

The displacement-time graph of a particle moving along x-axis is shown below. Choose the correct statement among the following.
(i) The net displacement of the particle is $\frac{3Tx}{4}m$
(ii) The net displacement of the particle is 0
(iii) The total distance travelled by the particle is 0
(iv) The total distance travelled by the particle is 2xm

• A. (i) and (iii)
• B. (ii) and (iii)
• C. (ii) and (iv)
• D. (i) and (iv)

Answer 1

The correct option is C (ii) and (iv)

Total distance travelled by the particle between time interval 0 to $\frac{3T}{2}s=x+x=2xm$
Displacement is defined as the shortest distance between the initial and the final positions of the particle.
From the graph, net displacement in the time interval 0 to $\frac{3T}{2}s$ is zero.
Hence, the correct answer is option (c).