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 t1 to t2 :

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 t1 to t2 :

The speed-time graph of a particle moving along a fixed direction is shown in Fig. 3.28. Obtain the distance traversed by the particle between (a)t =0 s to 10s , (b)t=  2 s to 6 s .What is the average speed of the particle over the intervals in (a) and (b) ?

The speed-time graph of a particle moving along a fixed direction is shown in Fig. 3.28. Obtain the distance traversed by the particle between (a)t =0 s to 10s , (b)t=  2 s to 6 s .What is the average speed of Read More …

Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of  15 m s-1 and  30 m s-1 . Verify that the graph shown in Fig. 3.27 correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take g = 10  ms-2 . Give the equations for the linear and curved parts of the plot.

Two stones are thrown up simultaneously from the edge of a cliff 200 m high with initial speeds of  15 m s-1 and  30 m s-1 . Verify that the graph shown in Fig. 3.27 correctly represents the time variation of the Read More …

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s-1. How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of  5 ms-1 and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands ?

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s-1. How much time does the ball take to return to his hands? If the lift starts Read More …

A three-wheeler starts from rest, accelerates uniformly with 1 m  s-2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1,2,3….) versus n. What do you expect this plot to be during accelerated motion : a straight line or a parabola ?

A three-wheeler starts from rest, accelerates uniformly with 1 m  s-2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1,2,3….) versus n. What do Read More …

Figure 3.25 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?

Figure 3.25 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? Read More …

Figure 3.24 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 3.24 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 Read More …

Figure 3.23 gives the x-t plot of a particle executing one-dimensional simple harmonic motion.  (You will learn about this motion in more detail in Chapter14). Give the signs of position, velocity and acceleration variables of the particle at t t=0.3s ,1.2 s -1.2s

Figure 3.23 gives the x-t plot of a particle executing one-dimensional simple harmonic motion.  (You will learn about this motion in more detail in Chapter14). Give the signs of position, velocity and acceleration variables of the particle at t t=0.3s ,1.2 s Read More …

Figure 3.21 shows 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 0 ? If not, suggest a suitable physical context for this graph.

Figure 3.21 shows 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 < 0 and on a parabolic path for  t > 0 Read More …

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