Define displacement of a particle in linear motion in one dimension. Does it depend upon the origin? Can actual distance travelled by object in the time interval t to t' be greater than or equal to the magnitude of the displacement?

The displacement of a moving object in a given interval of time is zero. Would the distance travelled by the object also be zero? Justify the answer.

Which of the followig is true of displacement? Its magnitude is greater than the distance travelled by the object.

Explain clearly, with examples, the distinction between :- magnitude of average velocity over an interval of time, and the average speed over the same interval. [Average speed of a particle over an interval of time is defined as the total path length divided by the time interval]. Show in both (a) and (b) that the second quantity is either greater than or equal to the first. When is the equality sign true ? [For simplicity, consider one-dimensional motion only].

Which of the following is true for displacement ? (i) it cannot be zero (ii) Its magnitude is greater than the distance travelled by the object (iii) Its magnitude is less than or equal to distance travelled by the object.

Read each statement below carefully and state with reasons, if it is true or false :- the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time,

The displacement x of a body of mass 10 kg moving in one dimension under the action of a constant force is related to time by the equation t = sqrtx + 3 . Find the work done by the force in first 5 seconds.