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The position of a particle moving along the x-axis is given by $\mathrm{x}=\frac{{\mathrm{t}}^3}{3}-2{\mathrm{t}}^2+3\mathrm{t}+25.$ The time (s) when particle comes to an instantaneous stop is/are
1.  t = 1 sec
2.  t = 2 sec
3.  t = 5 sec
4.  t = 4 sec

A gun is mounted on a plateau 960 m away from its edge as shown. Height of plateau is 960 m. The gun can fire shells with a velocity of 100 m/s at any angle. Of the following choices, what is the minimum distance (OP)x from the edge of plateau where the shell of gun can reach?
                                  
1.  480 m
2.  720 m
3.  360 m
4.  None of these

Two particles, one with constant velocity 50 m/s and the other with a uniform acceleration 10 m/s², start moving simultaneously from the same place in the same direction. They will be at a distance of 125 m from each other after:
1.  5 sec
2.  $5\sqrt{2} \sec$
3.  10 sec
4.  $10\left(\sqrt{2}+1\right) \sec$

The sum of the magnitude of two force acting at a point is 16 N. The resultant of these forces is perpendicular to the smaller force and has a magnitude of 8 N. If the smaller force is of magnitude x, then the value of x is:
1.  2 N
2.  4 N
3.  6 N
4.  8 N