NEET Questions

The speed of light is approximately $3 imes 10^8$ m/s. If a star is 4 light-years away, what is its distance in kilometers? (1 light-year = distance light travels in one year)

A particle moves along a closed trajectory. Which of the following is always true?

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 bee flies in a spiral path described by $r = 2t$ and $heta = \pi t$, where $r$ is in meters, $heta$ is in radians, and $t$ is in seconds. What is the magnitude of the bee's displacement from $t = 0$ to $t = 2$ s?

A body travels along a path described by $y = x^2$. What is the ratio of distance to displacement when moving from $(0,0)$ to $(2,4)$?

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?

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

A car travels 4 km East, then 3 km North. What is the magnitude of its displacement?

An object moves 10 m East, then 10 m West. What is its displacement?