Position and Displacement — MCQ Practice

A particle moves along the x-axis. It starts from $x = +5,\text{m}$, moves to $x = -10,\text{m}$, and then returns to $x = +2,\text{m}$. What is the total distance covered and the magnitude of the total displacement of the particle?

A car travels $100,\text{km}$ North, then turns around and travels $30,\text{km}$ South. If its starting point is the origin, what is its final position and the total displacement?

An object moves from point A to point B along a semicircular path of radius $R$. What is the ratio of the distance traveled to the magnitude of its displacement?

Which of the following statements is TRUE regarding position and displacement?

A particle's position is given by $x(t) = 3t^2 - 6t + 1$, where $x$ is in meters and $t$ is in seconds. What is the displacement of the particle between $t=1,\text{s}$ and $t=3,\text{s}$?

A person walks $4,\text{km}$ East and then $3,\text{km}$ North. What is the magnitude of their total displacement from the starting point?