The equation of motion of a particle starting from rest along a straight line is

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The equation of motion of a particle starting from rest along a straight line is x = t³ - 3l² + 5. The ratio of the velocities after 5 sec and 3 sec will be
Options
A. 2
B. 3
C. 4
D. 5
E. 4.5

Correct Answer

5

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1. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
Options
A. ? = -
B. ? = +
C. ? = -
D. ? = -
E. ? = -

3. The resultant of two forces acting at right angles is 34 kg and acting at 60� is 70 kg. The forces are
Options
A. 1 kg and 4 kg
B. 2 kg and 3 kg
C. 3 kg and 5 kg
D. 3 kg and 5 kg
E. 3 kg and 5 kg.

5. The motion of a particle is described by the relation x = t²- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
Options
A. zero
B. 30 m
C. 50 m
D. 60 m
E. none of these.

6. Newtons's Law of Motion is :
Options
A. Every body continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force
B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
C. To every action, there is always an equal and opposite reaction
D. All the above.

7. The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
Options
A. l
B.
C.
D.
E. none of these.

9. A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,
Options
A. 5 N
B. 10 N
C. 15 N
D. 25 N
E. None of these.

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