Motion in Two and Three Dimensions Test Online MCQs

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

2. Rain is falling vertically downwards with a velocity of 3 km/hr. A man walks in the rain with a velocity of 4 km/hr. The rain drop will fall on the man with a velocity of:

3. For a particle in a uniformly accelerated circular motion

4. The angle between  will be

5. For a given angle of the projectile if the initial velocity is doubled the range of the projectile becomes

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

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

8. Two vectors having equal magnitudes of x units acting at an angle of 45° have resultant √(2 +√2) units. The value of x is

9. 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:

10. 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

11. If a cyclist moving with a speeds of 4.9 m/s on leveled road can take a sharp circular turn of radius 4m, then the coefficient of friction between cycle tyre and road will be

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

13. 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

14. 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

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