Class 11 Physics — Chapter 4: Motion in a Plane Online Test

1. If the frequency of a wheel is 10 Hz, what is its period?

2. Which relation connects period T, frequency f, and angular velocity ω?

3. A projectile is launched at angle onto a plane inclined at . Which relation gives its range along the plane?

4. In the same case, what is the range measured along the inclined plane?

5. Which statement is correct regarding the horizontal component of velocity in projectile motion (neglecting air resistance)?

6. If object A has velocity and object B has velocity , then magnitude of is:

7. If and , then equals:

8. A projectile is fired at 20 m/s horizontally from a cliff 45 m high. Find the time it takes to hit the ground. (g = 10 m/s²)

9. If a particle has initial velocity and constant acceleration , what is its velocity after 5 seconds?

10. A body moves in a plane with constant acceleration . If initial velocity is zero, what is the displacement after 4 s?

11. For the same projectile, what is the y-coordinate after time ?

12. The trajectory of a projectile is given by:

13. A satellite of mass m revolves around Earth in a circular orbit of radius r with speed v. The centripetal force is provided by gravity. Which equation represents this balance?

14. In projectile motion, why is the trajectory parabolic instead of linear?

15. Which of the following best illustrates why two-dimensional motion must be studied separately from one-dimensional motion?

16. Heat energy is considered a scalar because:

17. If a displacement vector has components m and m, what is its magnitude?

18. A vector has components and . What angle does it make with the x-axis?

19. If , what is the magnitude of ?

20. Multiplying a vector by a scalar :

1. A particle’s velocity at t = 0 is . It moves under constant acceleration . What is its velocity after 3 s?

2. Two vectors of magnitudes 7 units and 24 units act at right angles. What is the magnitude of the resultant vector according to the triangle law?

3. Graphically, if two equal and opposite vectors are added:

4. A bus moving along a straight road with acceleration is an example of:

5. A rotating disc makes 600 revolutions per minute. What is its angular velocity?

6. The magnitude of a vector becomes four times its original value if it is multiplied by:

7. Which of the following is true about centripetal force?

8. A displacement vector of 50 m makes an angle of with the horizontal. What are its horizontal and vertical components?

9. A velocity vector of 15 m/s east is multiplied by -1. The new velocity is:

10. A car accelerates from rest with . After 5 seconds, what is its velocity vector?

11. A block is pulled with a force of at above the horizontal. How much of the force contributes to pulling it along the surface?

12. Which of the following is not a characteristic of projectile motion?

13. A man rows a boat across a river 100 m wide. If he rows with speed across and current flows at , how far downstream does he land?

14. Which of the following best describes the role of horizontal and vertical components in projectile motion?

15. A displacement vector of 6 km east is multiplied by -1. Geometrically, the new vector represents:

16. Plane flies with km/h relative to air. Wind velocity is km/h north. Find velocity of plane relative to ground.

17. A satellite is in circular orbit of radius r with orbital speed v. What happens if speed is suddenly doubled?

18. Why does the effective acceleration along an inclined plane appear as ?

19. A shell is fired from level ground with speed 40 m/s at 30°. At the highest point it explodes into two equal fragments; one fragment drops vertically from that point. Where (measured from the launch point) does the other fragment land? (g = 9.8 m/s²)

20. A vector , another . Find resultant vector magnitude.

21. Why is the component method of vector addition widely used in problem solving?

22. A car of mass 1000 kg moves with a constant speed of 20 m/s in a circle of radius 50 m. What is the required centripetal force?

23. A target initially at (200 m, 0) moves left at 10 m/s. A projectile is launched from the origin at speed 60 m/s to intercept the target at the same level (air resistance neglected). What launch angle should be used? (g = 9.8 m/s²)

24. If vector has magnitude , then magnitude of is:

25. A projectile is launched with speed 25 m/s at 37° above the horizontal. What are its horizontal and vertical velocity components?

26. A projectile is fired with initial speed 40 m/s at angle 30°. Find its horizontal range. (g = 10 m/s²)

27. The slope of the trajectory (dy/dx) of a projectile at time is:

28. Studying motion in two dimensions is important in sports because:

29. A projectile is fired uphill along a slope of 15° with speed 40 m/s. For maximum range along the slope, what should the launch angle be (measured from horizontal), and what is that maximum range along the slope? (g = 9.8 m/s²)

30. Two ships move in a plane. Ship A starts at the origin and sails with velocity m/s. Ship B starts at m and sails with m/s. What is their minimum separation distance?

1. Two airplanes fly: Plane A with , Plane B with . Find .

2. A projectile is launched at 50 m/s at an angle of 45°. What is its time of flight? (g = 10 m/s²)

3. A projectile is launched with . What is the total initial velocity and launch angle?

4. Two ships move in a plane. Ship A starts at the origin and sails with velocity m/s. Ship B starts at m and sails with m/s. What is their minimum separation distance?

5. Which mathematical tool helps in resolving two-dimensional motion into independent directions?

6. A particle has . What is its position after 2 s?

7. A coin of mass 0.05 kg lies on a turntable rotating at 2 revolutions per second. The radius is 0.1 m. What is the minimum friction force needed to keep the coin from sliding?

8. A bus moving along a straight road with acceleration is an example of:

9. A child of mass 25 kg sits in a swing moving in a circle of radius 2 m at 3 m/s. Find the centripetal force.

10. If , what is the magnitude of ?

11. The resultant of two vectors and is:

12. A car moves on a circular track of radius 50 m with a constant speed of 10 m/s. What is its centripetal acceleration?

13. A projectile is fired at 20 m/s horizontally from a cliff 45 m high. Find the time it takes to hit the ground. (g = 10 m/s²)

14. The shape of a projectile’s trajectory, neglecting air resistance, is always:

15. If and , then graphically is:

16. For u = 20 m/s at 30° (g = 9.8 m/s^2), the maximum height reached is:

17. A river flows east at 4 m/s. A swimmer can swim at 3 m/s relative to water and wants to cross straight north. At what angle upstream should he swim relative to north?

18. The magnitude of a vector becomes four times its original value if it is multiplied by:

19. Which of the following equations represents rectilinear motion with uniform acceleration?

20. The correct example of a vector quantity is:

21. A vector of magnitude 10 units makes an angle of with the x-axis. What is its x-component?

22. A force N acts along with N. Find the resultant force magnitude.

23. The trajectory of a projectile is defined as:

24. A velocity vector has components and . What is the magnitude of the velocity?

25. A projectile launched with at . What are the acceleration components (neglecting air resistance)?

26. A man rows a boat across a river 100 m wide. If he rows with speed across and current flows at , how far downstream does he land?

27. The resultant of the resolved components of a vector is always:

28. A body moves in a circle of radius 2 m with speed 6 m/s. Find its centripetal force if its mass is 3 kg.

29. Which of the following is true about graphical vector addition?

30. A man swims at 4 m/s relative to water. If the river flows at 3 m/s east and he swims due north, what is his velocity relative to ground?

31. In the same problem (u = 20 m/s, height = 45 m), how far horizontally does the projectile travel before hitting the ground?

32. The slope of the trajectory (dy/dx) of a projectile at time is:

33. If and , then equals:

34. Which of the following is NOT an application of motion in a plane?

35. Temperature is considered a scalar because:

36. Which statement is correct regarding the horizontal component of velocity in projectile motion (neglecting air resistance)?

37. An object moves from point A (0, 0) to point B (6, 8). What is the magnitude of displacement?

38. Which formula gives the velocity magnitude of a projectile at time ?

39. What is the smallest launch speed needed to hit a target at from the origin on level ground (choose the best launch angle)? Take m/s².

40. Two vectors are and . Find the resultant in Cartesian form.

41. A projectile is fired at 50 m/s at an angle of 45°. Find its time of flight. (g = 10 m/s²)

42. An airplane flies at 200 m/s north relative to air. Wind blows at 50 m/s east. What is airplane’s velocity relative to ground?

43. A bullet moves with velocity 200 m/s and strikes a target making an angle of with the horizontal. Find its horizontal component of velocity.

44. Which of the following best describes the role of horizontal and vertical components in projectile motion?

45. Which is not a scalar quantity?

46. A force vector multiplied by scalar -3 gives:

47. A particle starts from rest and accelerates at . Find its displacement after 2 seconds.

48. A football is kicked with an initial velocity of 20 m/s at . What is its vertical component of velocity?

49. Why does the path of a projectile become parabolic under constant acceleration?

50. A boat must cross a 100 m wide river flowing east at 4 m/s. The boat speed is 5 m/s north relative to water. Where will the boat land relative to a point directly opposite?