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Motion in a Plane Practice Problems with Solutions - CBSE Grade 11

CBSE Grade 11 | Physics | Motion in a Plane
Name: _________________________ Date: _________________________ Score: _______ / 40

The vector representing change in position is displacement, and projectile motion is two-dimensional, so this Class 11 sheet opens by naming the position vector and its motion plane. The 45° answer for maximum range and 2u sinθ/g for time of flight are in the key.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. The vector that represents the change in position of a body is called
(a) Distance(b) Displacement(c) Speed(d) Acceleration
2. The motion of a projectile is
(a) One-dimensional(b) Two-dimensional(c) Three-dimensional(d) Zero-dimensional
3. At the highest point of a projectile, the vertical component of velocity is
(a) Maximum(b) Zero(c) Equal to u(d) Half of u
4. During projectile motion, the horizontal component of velocity
(a) Becomes zero(b) Remains constant(c) Increases(d) Decreases
5. The range of a projectile on level ground is maximum when the angle of projection is
(a) 30°(b) 45°(c) 60°(d) 90°
6. The time of flight of a projectile launched with vertical component of velocity u sinθ is
(a) u sinθ/g(b) 2u sinθ/g(c) 2u cosθ/g(d) u/g

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Define a projectile.
8. What is the shape of the trajectory of a projectile on level ground?
9. Write the value of the vertical component of velocity at the highest point of a projectile.
10. At what angle of projection is the range of a projectile maximum?
11. Write the expression for the time of flight of a projectile.
12. What happens to the horizontal component of velocity during projectile motion?
13. Define displacement.
14. Write the expression for the maximum height of a projectile.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. A projectile is thrown with a speed of 10 m/s at 30° to the horizontal. Find its time of flight (g = 10 m/s²).
16. Find the maximum height reached by a projectile thrown vertically upward with a speed of 20 m/s (g = 10 m/s²).
17. A stone is thrown horizontally from a cliff with a speed of 10 m/s and reaches the ground after 3 s. Find the height of the cliff (g = 10 m/s²).
18. Find the range of a projectile thrown at 45° with a speed of 20 m/s (g = 10 m/s²).
19. A vector has components 3 m along the x-axis and 4 m along the y-axis. Find its magnitude.
20. Two vectors of magnitudes 3 and 4 are perpendicular to each other. Find the magnitude of their resultant.

Answer Key

1. b) Displacement
2. b) Two-dimensional
3. b) Zero
4. b) Remains constant
5. b) 45°
6. b) 2u sinθ/g
7. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet

People Also Ask

What vector represents the change in position of a body?

Displacement, option (b) in this worksheet (Q1).

What kind of motion is projectile motion?

Two-dimensional, option (b) in this worksheet (Q2).

At what angle is a projectile's range maximum?

45°, option (b) in this worksheet (Q5).

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