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Class 11  »  Physics  »  Kinematics

Kinematic Equations for Uniform Acceleration - UNSOLVED PRACTICE SET

Class 11

Chapter: Kinematics | Topic: Kinematic Equations for Uniform Acceleration

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Study Material.
Class 11

KINEMATIC EQUATIONS FOR UNIFORM ACCELERATION - UNSOLVED PRACTICE SET

Topic: Kinematic Equations for Uniform Acceleration

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

Multiple Choice Questions

Q1. Which of the following is NOT one of the three equations of motion for uniform acceleration?

  1. v = u + at
  2. s = ut + ½at²
  3. v² = u² + 2as
  4. F = ma

Q2. A body starts from rest and accelerates uniformly at 2 m/s². The distance travelled in the first 3 seconds is:

  1. 6 m
  2. 9 m
  3. 12 m
  4. 18 m

Q3. A car moving at 10 m/s accelerates uniformly at 2 m/s² for 5 seconds. Its final velocity is:

  1. 20 m/s
  2. 12 m/s
  3. 15 m/s
  4. 25 m/s

Q4. The displacement of a body in the nth second of uniformly accelerated motion is given by:

  1. u + a(2n − 1)/2
  2. u + an
  3. u + a(n − 1)
  4. un + ½an²

Q5. A body thrown vertically upward returns to the ground after 6 seconds. (Take g = 10 m/s²) The initial velocity was:

  1. 15 m/s
  2. 30 m/s
  3. 60 m/s
  4. 10 m/s

Q6. For a body moving with uniform acceleration, the average velocity during a time interval is:

  1. Equal to the instantaneous velocity at the beginning
  2. Equal to the instantaneous velocity at the end
  3. Equal to the arithmetic mean of initial and final velocities
  4. Always zero

Short Answer Questions

Q7. Write the three equations of motion for a body moving with uniform acceleration along a straight line. Define each symbol used.

Q8. Derive the equation s = ut + ½at² using a velocity-time graph.

Q9. A train starts from rest and accelerates uniformly at 0.5 m/s² for 2 minutes. Calculate the distance travelled and the final velocity.

Q10. In your school laboratory, a trolley is released from rest down an inclined plane. It covers 1 m in the first second. Calculate its acceleration and the distance it will cover in the next second.

Q11. A stone is dropped from a height of 45 m. Calculate the time taken to reach the ground and the velocity with which it hits the ground. (Take g = 10 m/s²)

Q12. A car moving at 36 km/h is brought to rest in 10 m by applying brakes. Calculate the deceleration and the time taken to stop.

Long Answer Questions

Q13. Derive all three equations of motion for uniformly accelerated motion:

(i) v = u + at

(ii) s = ut + ½at²

(iii) v² = u² + 2as

Use graphical methods (velocity-time graph) for at least two derivations.

Q14. Two bodies are dropped from different heights. Body A is dropped from 80 m and Body B is dropped from 20 m at the same time. (Take g = 10 m/s²)

(a) Calculate the time taken by each body to reach the ground.

(b) Calculate the velocity of each body just before hitting the ground.

(c) If Body B is dropped 1 second after Body A, will they hit the ground at the same time? If not, calculate the time difference.

(d) Sketch position-time graphs for both bodies on the same axes.

Q15. A police jeep is chasing a thief's car on a straight highway. The thief's car is moving at a constant speed of 108 km/h. The police jeep starts from rest and accelerates uniformly at 3 m/s².

(a) How long will it take the police jeep to catch the thief?

(b) What distance will the police jeep travel before catching the thief?

(c) What will be the velocity of the police jeep at the moment of catching?

(d) Draw position-time graphs for both vehicles.

Application-Based Problems

Q16. A stone is thrown vertically upward from the top of a 60 m high building with an initial velocity of 20 m/s. (Take g = 10 m/s²)

(a) Calculate the maximum height reached by the stone above the ground.

(b) Calculate the total time taken to reach the ground.

(c) Calculate the velocity with which the stone hits the ground.

(d) Calculate the average velocity for the entire motion.

(e) Sketch the velocity-time graph for the entire motion.

Q17. In a school experiment, a ball rolls down an inclined plane of length 2 m. The time taken to reach the bottom is recorded as 2 seconds.

(a) Calculate the acceleration of the ball.

(b) Calculate the velocity of the ball at the bottom of the incline.

(c) If the incline is made twice as long (4 m) with the same angle, what will be the new time to reach the bottom? (Hint: acceleration remains the same)

(d) Verify your answer using the equations of motion.

Q18. A bus starts from rest and accelerates uniformly at 2 m/s² for 10 seconds. It then moves with constant velocity for 30 seconds, and finally decelerates uniformly to rest in 20 seconds.

(a) Calculate the maximum velocity reached.

(b) Calculate the total distance travelled.

(c) Calculate the average speed for the entire journey.

(d) Plot the velocity-time graph and use it to verify your answer for total distance.

(e) Calculate the average velocity for the entire journey.


Total: 30 Marks | Time: 40 mins

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