Motion in a Plane Mock Test – Class 11 Physics

1. A projectile is launched at angle with speed . Its trajectory equation in the - plane, when the launch point is the origin and upward is positive , is:

2. The physical quantity used in plane motion most commonly represents:

3. A particle is in uniform circular motion. At an instant, its velocity is tangential to the circular path and its centripetal acceleration is directed toward the centre. The angle between these two vectors is:

4. Use the arrangement described below: two arrows and are drawn from the same point . A parallelogram is completed using these arrows as adjacent sides. The resultant is:

5. The position vector of a body is , where is in and is in . Its acceleration at is:

6. A projectile is launched from level ground with speed . Its horizontal range is three times its maximum height. Taking , its range is:

7. If is the initial position vector and is the final position vector, the displacement vector is:

8. A cyclist’s displacement is at north of east. Use and . The eastward and northward components are:

9. Use the arrangement described below: a projectile is launched from the origin, reaches point at the highest point, and lands at point on the same horizontal level. Air resistance is neglected.
At point , the acceleration vector points:

10. A body moving uniformly in a circle suddenly loses the inward influence that kept it on the circular path. Its immediate motion would be:

11. A component record is shown below.

The row that should be corrected is:

12. A particle moving uniformly in a circle has speed , radius , period , and frequency . The expression for centripetal acceleration in terms of is:

13. A particle in circular motion has speed and radius . In a second case, the speed becomes and the radius becomes . The centripetal acceleration becomes:

14. A vector diagram is described as follows: an arrow starts at point , ends at point , and is labelled . The displacement represented by is:

15. Study the table of velocity functions and claimed accelerations.

The row that contains a differentiation error is:

16. A rotating fan blade has angular speed . A point at radius and a point at radius are compared. The point at has:

17. Three statements about reconstructing a vector from components are given.
I. The magnitude is .
II. The ratio helps find the direction.
III. The sign of and can be ignored once is found.
The supported statements are:

18. A boat’s velocity relative to water is due north, and the river current is due east. The magnitude of the boat’s velocity relative to the ground is:

19. A projectile is fired at with speed , and another is fired at with the same speed. For level-ground landing, the statement that correctly compares their flights is:

20. A table gives directions at four points of anticlockwise uniform circular motion.

The row that contains a direction error is:

21. Uniform circular motion refers to motion in which a body:

22. Instantaneous acceleration in a plane is written as:

23. A projectile is launched with speed at above the horizontal. Its initial velocity components are:

24. If and , then is:

25. The direction formula gives measured:

26. A vector formula list contains the following claims:
I.
II.
III.
For uniform circular motion, the supported claims are:

27. Two bodies have equal speeds , but one moves east and the other moves north. Their relative velocity is not zero because:

28. A particle moves uniformly in a circle. Its centripetal acceleration is , and its angular speed is . The radius and linear speed are:

29. A displacement vector points east. The vector represents:

30. A graph description is given below.

The magnitude of the resultant is:

31. Use the graph description below.

The direction of the instantaneous velocity at is:

32. Two projectiles are fired with the same speed on level ground at angles and . Compared with the projectile, the projectile has:

33. A graph description is given below.

The endpoint values of the graph are:

34. Study the vector record below.

The relation best supported by the record is:

35. Assertion: Displacement in a plane is independent of the actual path followed between two points.
Reason: Displacement is calculated from .

36. Instantaneous velocity in a plane is best described as:

37. A displacement vector represents west. A new vector is defined as . The vector represents:

38. Two vectors are and . Their sum is:

39. The pair of axes used in elementary plane motion is usually chosen perpendicular to each other because:

40. A projectile is launched from ground level with initial vertical component . Taking , its total time of flight back to the same level is:

41. A graph is plotted between centripetal acceleration and speed for a fixed radius . The graph is:

42. A motion has and , where upward is taken as positive . The component behaviour is:

43. A cyclist starts and ends at the same point after , while travelling a total distance of . The average velocity for the complete trip is:

44. Assertion: Instantaneous velocity at a point on a curved path is along the tangent at that point.
Reason: In the limiting process, the displacement over a very small time interval approaches the tangent direction.

45. In a vector arrow, the tail and head are important because:

46. For constant acceleration in a plane, the position vector after time is written as:

47. A projectile is launched with and . Taking , the horizontal separation between the two points where it is at height above the launch point is:

48. A vector of magnitude makes an angle with the positive -axis. Its rectangular components are:

49. In non-uniform circular motion, the total acceleration is not generally directed toward the centre because:

50. A projectile is launched from a cliff with horizontal component and vertical component upward. The ground is below the launch point. Taking , the time to hit the ground is: