Q9 of 26 Page 15

For the one-dimensional motion, described by x = t–sint

Option (a) is correct. For x(t) > 0 for t > 0




Dividing by t on both sides, this wouldn’t affect the inequality, since we have assumed t > 0.



This is always true for any t > 0.


Option (b) is incorrect. v(t) = dx/dt = 1 – cos(t) which is equal to zero at t = 2nП


Option (c) is incorrect. a(t) = dv/dt = - sin(t) which can have both positive and negative values.


Option (d) is correct. v(t) = 1 – cos(t). cos(t) lies between 1 and -1, so v(t) lies between 0 and 2 (when cos(t) = 1 and when cos(t) = -1 respectively).

More from this chapter

All 26 →
7

The variation of quantity A with quantity B, plotted in Fig. 3.2 describes the motion of a particle in a straight line.

 8

A graph of x versus t is shown in Fig. 3.3. Choose correct alternatives from below.

 10

A spring with one end attached to a mass and the other to a rigid support is stretched and released.

 11

A ball is bouncing elastically with a speed 1 m/s between walls of a railway compartment of size 10 m in a direction perpendicular to walls. The train is moving at a constant velocity of 10 m/s parallel to the direction of motion of the ball. As seen from the ground,