Show that the distance covered by a particle having uniform acceleration in time interval (t'-t) is the area under v - t graph for time t' and t.

What will be the nature of x - t graph for a uniform motion?

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :- Which of the following formulae are correct for describing the motion of the particle over the time-interval:- x(t_2)-x(t_1) area under the v-t curve bounded by the t-axis and the dotted line shown.

A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by x = t^2(2-(t/3)) Find the time taken by it to reach Q and also find distance between P and Q.

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?

Draw velocity-time graph for a body moving with uniform velocity. Hence show that the area under the velocity-time graph gives the distance travelled by the body in a given time interval.

The displacement of a particle along a straight time at line t is given by ,x=4+2t +3t^2+4t^3 .Find acceleration fo the particle at t=2 second.