Motion in Two and Three Dimensions Test Online MCQs

1. If R and H represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?

2. For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is

3. A car moving on a circular path of length 4π meter experience a force of 6N towards the center of the path. If the mass of the car is 108 kg, the velocity of the car is:

4. If we can throw a ball up to a maximum height H, the maximum horizontal distance to which we can throw it is

5. For a particle in a uniformly accelerated circular motion

6. If two projectiles are fired at the angles 30° and 60° respectively then the ratio of their horizontal ranges is

7. A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the times of flights in the two cases, then the product of the two times of flights is proportional to

8. The maximum range of a gun horizontal terrain is 10 km. If g = 10 m/s² what must be the muzzle velocity of the shell

9. An aeroplane moves 400 m towards the north, 300 m towards west and then its displacement from the initial position is

10. A car travels 6 km towards north at an angle of 45° to the east and then travels distance of 4 km towards north at an angle 135° to east. How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

11. If vector  are perpendicular to each other, then the positive value of a is

12. A stone to a string is rotated with a uniform speed in a vertical plane. If mass of the stone is m, the length of the string is r and the linear speed of the stone is v, when the stone is at its lowest point, then the tension in the strong will be (g = acceleration due to gravity)

13. At the uppermost point of a projectile, its velocity and acceleration are at an angle of

14. A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 rad/sec. Then the centripetal force will be

15. If two forces of equal magnitudes act simultaneously on a body in the east and the north directions then