If decrease in velocity is same in equal interval of time, then draw x `to` t graph.

Explain clearly, with examples, the distinction between : (a) magnitude of displacement (sometimes called distance) over an interval of time, and the total length of path covered by a particle over the same interval, (b) 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 onedimensional motion only).

Assertion: The magnitude of average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason: Path length (distance) is either equal or greater than the magnitude of displacement.

Assertion: The average velocity of a particle is zero in a time interval. It is possible that the instantaneous acceleration is never zero in the interval. Reason: The magnitude of average velocity in an interval is equal to its average speed in that interval.

Figure gives the x-t plot of a particle in one dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest and in which is it the least ? Give the sign of average velocity for each interval.

Fig. 2 (NCT).9 show the x-t plot of a particle in one dimensional motion. Three different equal intervals of time are shown. In which interval the average speed is greatest and in which it is the least ? Give th sign of average speed for each interval. .

Explain instantaneous velocity and discuss how it can be determined from x to t graph.

Assertion :- The displacement always equals the product of the average velocity and the time interval. Reason :- The average velocity always equals the mean value of the initial and final velocities.

A quantity X is given by in_(0) L(DeltaV)/(Delta t) , where in_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Delta t is a time interval. The dimensional formula for X is the same as that of -

A point moves with uniform acceleration and v_(1), v_(2) , and v_(3) denote the average velocities in the three successive intervals of time t_(1).t_(2) , and t_(3) Which of the following Relations is correct?.

Give velocity and acceleration at any point for an moving object whose x to t graph is straight line.