Motion in Two and Three Dimensions Test Online MCQs

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

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

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

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

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

6. 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)

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

8. 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

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

10. 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:

11. For a particle in a uniformly accelerated circular motion

12. 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

13. An aircraft executes a horizontal loop with a speed of 150 m/s with its wings banked at an angle of 12°. The radius of the loop is (g = 10m/s²)

14. 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:

15. A stone tied to the end of a string of 80 cm long, is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 sec, then magnitude if acceleration of the same will be