A particle moves in a straight line and its position is defined by the equation x = 6 t2 – t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is_________________?

Related Mcqs:

1. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is___________________?

   A. 1.00 m/sec
   B. 1.57 m/sec
   C. 3.14 m/sec
   D. 6.28 m/sec

2. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

   A. proportional to A
   B. proportional to A2
   C. proportional to 1/A2
   D. independent of A

3. One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is___________________?

   A. a simple harmonic motion
   B. a rectilinear motion with constant speed
   C. a damped oscillatory motion
   D. none of the above

4. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

   A. 4.5 J
   B. 9.0 J
   C. 12.0 J
   D. 18.0 J

5. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec2)______________________?

   A. 15 m/sec
   B. 25 m/sec
   C. 40 m/sec
   D. 50 m/sec

6. A flywheel of moment of inertia 20 kg-m” is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian persecond is__________________?

   A. 1/2
   B. 3/2
   C. 2
   D. 3

7. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?

   A. log r
   B. r
   C. r2
   D. 1/r

   where r is the distance of’the particle from centre of the earth

8. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is_________________?

   A. 64 J
   B. 400 J
   C. 464 J
   D. 89 J

9. If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is_____________________?

   A. —rad/sec 10
   B. —rad/sec 20
   C. —rad/sec 30
   D. none of the above

10. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

    A. 0 and 5 m/sec
    B. 5 m/sec and 0
    C. 5 V3 m/sec and 0
    D. 5 and 5V3 m/sec