Question

A particle is constrained to move on a straight line path. It returns to the starting point after $10s$. The total distance covered by the particle during this time is $30m$. Which of the following statements is/are false about the motion of the particle?

• A. Displacement of the particle is $0$.
• B. Average speed of the particle is $3m/s$.
• C. Displacement of the particle is $15m$.
• D. Average velocity is $3m/s$.

Answer 1

Answer: (A), (D)

Displacement of the particle is $0$.
Average velocity is $3m/s$.

Total displacement of particle = $0$

Hence, average velocity$=\frac{Totaldisplacement}{Totaltime}$$=\frac{0}{10}=0$

Average speed $=\frac{Totaldistance}{Totaltime}$$=\frac{30}{10}=3m/s$

Hence, statement A & D are correct options, since they are false statements.