A particle moves along a trajectory defined by $x = t^3 - 6t^2 + 9t + 2$ and $y = t^2 - 2t + 1$, where $x$ and $y$ are in meters and $t$ is in seconds. What is the magnitude of the displacement of the particle between $t=0$ and $t=4$ seconds?

A particle moves along a semicircular path of radius 5 m from point A to point B. What is the magnitude of its displacement?

A wheel of radius 1m rolls forward half a revolution on a horizontal ground. The magnitude to the displacement of the point of the wheel initially in contact with the ground is

An ant crawls along the edges of a cube of side length 'a'. It starts at one corner and reaches the diagonally opposite corner. If the ant only crawls along the edges and takes the shortest possible path, what is the ratio of the distance it crawls to its displacement?

A graph is shown between velocity an time for the motion of a particle. The area under the curve between the time intervals ${t_1}\,and\,{t_2}$ gives

An insect moves $3m\,\,east$, $4m\,\,north$ and $5m$ vertically up. Displacement covered by insect is

A particle moves in a circular path of radius R. It completes one and a half revolutions. What is the ratio of the distance traveled to its displacement?

A graph is shown between velocity an time for the motion of a particle. The area under the curve between the time intervals ${t_1}\,and\,{t_2}$ gives

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolly is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

A body is moving along the circumference of a circle of radius '$R$' and completes half of the revolution. Then the ratio of its displacement to distance is

A car travels 5 km East, then 3 km North. What is the magnitude of its displacement?