A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

Related Mcqs:

1. 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

2. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?

   A. 1/4
   B. 1/3
   C. 1/2
   D. 1/5

   Assume g = 10 m/sec2

3. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

   A. 1/4
   B. 1/3
   C. 3
   D. 4

4. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?

   1) a force is required to move the body upwards
   2) a force is required to move the body downward
   3) the body will not be in equilibrium
   The correct answer is?

   A. only (1)
   B. only (2)
   C. both (1) and (2)
   D. both (1) and (3)

5. The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________?

   A. 45°
   B. tan-1 (2)
   C. tan-‘ (4)
   D. tan”1 (1/4)

6. The angle of projection at which the horizontal range and maximum height of a projectile are equal to_____________________?

   A. 36°
   B. 45°
   C. 56°
   D. 76°

7. 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

8. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

   A. 3/4
   B. 4/5
   C. 5/3
   D. 3/5

9. For a given velocity of a projectile, the range is maximum when the angle of projection is___________________?

   A. 30°
   B. 45°
   C. 90°
   D. 0°

10. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?

    A. zero
    B. maximum
    C. minimum
    D. unpredictable