and state, with reasons, which of these cannot possibly represent one-dimensional motion of a particle. . Figure .11shows the x-t plot of one- dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for t < and on a parabolic path for t > ?
If not, suggest a suitable physical context for this graph. . A police van moving on a highway with a speed of km h – fires a bullet at a thief’s car speeding away in the same direction with a speed of km h – . If the muzzle speed of the bullet is m s – , with what speed does the bullet hit the thief’s car ?
(Note: Obtain that speed which is relevant for damaging the thief’s car). Fig. . Fig.
. . Suggest a suitable physical situation for each of the following graphs (Fig . ): Fig.
. . Figure . gives the x-t plot of a particle executing one-dimensional simple harmonic motion.
(You will learn about this motion in more detail in Chapter13). Give the signs of position, velocity and acceleration variables of the particle at t = . s, . s, – .
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. . Figure . gives a speed-time graph of a particle in motion along a constant direction.
Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude? In which interval is the average speed greatest ? Choosing the positive direction as the constant direction of motion, give the signs of v and a in the three intervals.
What are the accelerations at the points A, B, C and D ? Fig. . Fig.