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Class 11  Ā»  Physics  Ā»  Kinematics

Projectile Motion - UNSOLVED PRACTICE SET

Class 11

Chapter: Kinematics | Topic: Projectile Motion

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Study Material.
Class 11

PROJECTILE MOTION - UNSOLVED PRACTICE SET

Topic: Projectile Motion

Time: 40 mins | Marks: 30 | Difficulty: Medium

Multiple Choice Questions

Q1. In projectile motion, the horizontal component of velocity:

  1. Increases with time
  2. Decreases with time
  3. Remains constant throughout the motion
  4. Becomes zero at the highest point

Q2. The path of a projectile is:

  1. A straight line
  2. A circle
  3. A parabola
  4. An ellipse

Q3. At the highest point of a projectile's trajectory:

  1. Both velocity and acceleration are zero
  2. Velocity is zero but acceleration is g downward
  3. Vertical component of velocity is zero but horizontal component is non-zero
  4. Both velocity and acceleration are maximum

Q4. For a given initial speed, the horizontal range of a projectile is maximum when the angle of projection is:

  1. 30Ā°
  2. 45Ā°
  3. 60Ā°
  4. 90Ā°

Q5. Two projectiles are fired from the ground with the same initial speed, one at 30Ā° and the other at 60Ā°. Their horizontal ranges will be:

  1. Equal
  2. Greater for 30Ā°
  3. Greater for 60Ā°
  4. Zero for both

Q6. The time of flight of a projectile depends on:

  1. Only the horizontal component of initial velocity
  2. Only the vertical component of initial velocity
  3. Both horizontal and vertical components
  4. Neither component

Short Answer Questions

Q7. State the assumptions made in the analysis of projectile motion. Why is the horizontal motion called uniform motion?

Q8. Derive the expression for the time of flight of a projectile launched from the ground and returning to the ground.

Q9. A cricket ball is hit with a velocity of 25 m/s at an angle of 30Ā° with the horizontal. Calculate the maximum height reached by the ball. (Take g = 10 m/sĀ²)

Q10. In your school sports day, a javelin thrower throws the javelin at 45Ā° with an initial speed of 20 m/s. Calculate the horizontal range of the javelin. (Take g = 10 m/sĀ²)

Q11. A stone is thrown horizontally from the top of a 45 m high tower with a speed of 10 m/s. Calculate the time taken to reach the ground and the horizontal distance travelled. (Take g = 10 m/sĀ²)

Q12. Why does a projectile launched at 45Ā° give the maximum range for a given initial speed? Explain using the range formula.

Long Answer Questions

13. Derive the equations of projectile motion for a body projected from the ground at an angle Īø with the horizontal:

(i) Time of flight

(ii) Maximum height

(iii) Horizontal range

(iv) Equation of trajectory

Show that the path is parabolic.

Q14. A projectile is fired from the top of a 80 m high cliff with a velocity of 30 m/s at an angle of 30Ā° above the horizontal.

(a) Calculate the time taken to reach the ground.

(b) Calculate the horizontal distance from the base of the cliff where the projectile lands.

(c) Calculate the velocity of the projectile just before hitting the ground.

(d) Sketch the trajectory showing all key points.

Q15. Two balls are thrown simultaneously from the same height: Ball A is thrown horizontally with speed v, and Ball B is dropped from rest.

(a) Which ball reaches the ground first? Explain.

(b) Compare the horizontal distances travelled by both balls when they hit the ground.

(c) Compare their velocities just before hitting the ground.

(d) What does this experiment demonstrate about the independence of horizontal and vertical motions?

Application-Based Problems

Q16. A football is kicked from the ground with an initial velocity of 20 m/s at an angle of 53Ā° with the horizontal. (Take sin 53Ā° = 0.8, cos 53Ā° = 0.6, g = 10 m/sĀ²)

(a) Calculate the time of flight.

(b) Calculate the maximum height reached.

(c) Calculate the horizontal range.

(d) Calculate the velocity of the ball at the highest point.

(e) At what time(s) is the ball at a height of 9.6 m?

Q17. A batsman hits a cricket ball at a height of 1 m above the ground. The ball leaves the bat at 30 m/s at an angle of 30Ā° with the horizontal. A fielder stands 80 m from the batsman.

(a) Will the ball clear a 5 m high boundary line at 70 m from the batsman?

(b) Calculate the maximum height reached by the ball above the ground.

(c) At what horizontal distance from the batsman does the ball hit the ground?

(d) If the fielder catches the ball at a height of 2 m, how far from the batsman is he standing?

Q18. A projectile is launched from the ground such that its horizontal range is three times its maximum height.

(a) Find the angle of projection.

(b) If the initial speed is 40 m/s, calculate the horizontal range and maximum height.

(c) Calculate the time of flight.

(d) Verify that your answers satisfy the given condition (R = 3H).


Total: 30 Marks | Time: 40 mins

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