MDCAT XI Physics Vectors & Equilibrium + Kinematics Online Test 2026

1. For two vectors P and Q, their scalar product is zero. What is the angle between the vectors?

2. A car travels 60 km east in 2 hours and then 90 km west in 3 hours. Its average velocity for the whole trip is:

3. A velocity-time graph of a particle shows a straight line from v = 0 m/s at t = 0 s to v = 10 m/s at t = 5 s. The displacement of the particle in this interval is:

4. Two displacement vectors of magnitudes 5 m and 9 m are added. For which orientation will the resultant displacement be maximum?

5. A particle moves 5 m east and then 12 m west. Its distance traveled and displacement are:

6. If A · B = −AB, then the angle between vectors A and B is:

7. Two balls are dropped from same height, one after another with 1 s gap. Distance between them after 2 s of second ball’s fall is approximately:

8. The magnitude of vector product A × B becomes maximum when the angle between A and B is:

9. Which of the following physical quantities may have negative value?

10. A car increases its speed from 10 m/s to 20 m/s over 15 m. Acceleration is:

11. A car starts from rest and accelerates uniformly at 2 m/s². What distance does it cover in 6 s?

12. Two vectors A and B have magnitudes 6 and 8 respectively. Their scalar product is 24. The angle between them is:

13. A car moves with uniform acceleration. The ratio of distances covered in 5th second to that in 10th second is 1:2. Initial velocity is:

14. A particle moves 20 m north in 5 s, then 60 m south in 15 s. Its average speed and average velocity are:

15. A force (6î − 8ĵ + 12k̂) N produces an acceleration of 4 m/s². The mass of the body is:

16. Two particles start from the same point. One moves with constant velocity, the other with constant acceleration. They meet again after time t. Which statement is correct?

17. The angle between vectors (î + ĵ) and (ĵ − k̂) is:

18. For a projectile launched with speed u at angle θ, the ratio of maximum height to horizontal range is:

19. A ball is thrown vertically upward with 20 m/s. Acceleration due to gravity = 10 m/s². Maximum height reached is:

20. A body starts from rest and accelerates uniformly. After time t₁ = 2 s, its velocity is v₁ = 4 m/s. After time t₂ = 5 s, its velocity is v₂. What is the ratio v₁ : v₂?

21. A car increases its velocity from 12 m/s to 20 m/s in 4 seconds. Its acceleration is:

22. Two forces each of magnitude 6 N act at a point. If their resultant force is 6 N, the angle between them is:

23. A ball is thrown vertically upwards with 20 m/s. Take g = 10 m/s². Its velocity after 1.5 seconds is:

24. A projectile is launched at 30° and another at 60° with the same speed. The ratio of their ranges R₃₀ : R₆₀ is:

25. Which of the following is a vector quantity?

26. A truck moving at 18 m/s applies brakes and stops in 9 seconds. Its acceleration is:

27. Two forces of 14 N and 4 N act simultaneously. Which of the following values cannot be their resultant?

28. The acceleration of a body is zero. Which of the following statements is always true?

29. Final velocity after acceleration (v = u + at) A train moving at 10 m/s accelerates uniformly at 2 m/s² for 5 s. Its final velocity is:

30. The maximum height of a projectile is reached when:

31. A stone is dropped from a height of 80 m. Take g = 10 m/s². Time to reach the ground is:

32. A car moves at 8 m/s and accelerates uniformly at 2 m/s² for 4 s. Distance covered:

33. A particle moves along a straight line: 5 m to the right in the first second, 10 m to the left in the second second, and 5 m to the right in the third second. What is the ratio of total distance traveled to net displacement?

34. A body starts from rest and accelerates at 2 m/s² over 16 m. Its final velocity is:

35. A body is thrown upward with speed u. Distance covered in last second of upward motion is:

36. Body starting from rest covers distance S in t seconds. Distance covered in last t/2 seconds is:

37. A bike moving at 15 m/s applies brakes and decelerates at 5 m/s². Time to stop:

38. A particle starting from rest covers equal distances in equal successive time intervals. Acceleration is:

39. A train accelerates uniformly from rest at 1 m/s². Distance covered in the 4th second is:

40. A body moving with constant acceleration has velocities 10 m/s and 30 m/s at two points separated by 40 m. The acceleration is:

41. The projectile reaches maximum height in time tₕ. The total time of flight is:

42. Find the magnitude of the unit vector 2î − 2ĵ + 2k̂.

43. A body starts from rest and accelerates uniformly. After time t, its velocity is directly proportional to:

44. The horizontal range of a projectile is maximum when the angle of projection is:

45. Two trains are moving on parallel tracks in opposite directions. Train A moves at 60 km/h, and Train B moves at 40 km/h. The speed of Train B relative to Train A is:

46. A body covers distances in ratio 1 : 3 : 5 in successive equal intervals of time. Initial velocity of the body is:

47. Which relation is always valid for any two vectors A and B?

48. Two vectors have magnitudes 7 and 9. If their resultant is 8, the angle between them is closest to:

49. A particle starts with velocity 4 m/s and moves with constant acceleration. In the next 3 s, its displacement becomes zero. The acceleration is:

50. A body moves with constant speed but changing velocity. Path is: