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Class 11  »  Physics  »  Kinematics

Acceleration - UNSOLVED PRACTICE SET

Class 11

Chapter: Kinematics | Topic: Acceleration

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Study Material.
Class 11

ACCELERATION - UNSOLVED PRACTICE SET

Topic: Acceleration

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

Multiple Choice Questions

Q1. Acceleration is defined as:

  1. Rate of change of position with time
  2. Rate of change of velocity with time
  3. Rate of change of speed with time
  4. Total displacement divided by total time

Q2. A car moving with a velocity of 20 m/s comes to rest in 5 seconds. Its acceleration is:

  1. 4 m/s²
  2. −4 m/s²
  3. 100 m/s²
  4. −100 m/s²

Q3. Uniform acceleration means:

  1. The body moves with constant speed
  2. The body covers equal distances in equal intervals of time
  3. The velocity changes by equal amounts in equal intervals of time
  4. The body moves in a circular path with constant speed

Q4. The slope of a velocity-time graph gives:

  1. Displacement
  2. Average velocity
  3. Acceleration
  4. Speed

Q5. A body is said to be decelerating when:

  1. Its acceleration is in the same direction as its velocity
  2. Its acceleration is opposite to the direction of its velocity
  3. Its velocity is zero
  4. Its acceleration is zero

Q6. The area under an acceleration-time graph represents:

  1. Displacement
  2. Change in velocity
  3. Average acceleration
  4. Speed

Short Answer Questions

Q7. Define acceleration. Is it a scalar or vector quantity? Explain why.

Q8. Distinguish between uniform acceleration and non-uniform acceleration with one example of each.

Q9. A car accelerates from rest to 20 m/s in 10 seconds. Calculate its acceleration. If it then brakes and comes to rest in 5 seconds, calculate the braking acceleration.

Q10. In a school race, Runner A starts from rest and accelerates uniformly at 2 m/s² for 5 seconds. Runner B runs at a constant speed of 8 m/s. Who is ahead after 5 seconds, and by how much?

Q11. The velocity-time graph of a particle is a straight line making an angle of 30° with the time axis. What does this tell you about the acceleration of the particle?

Q12. Can a body have zero velocity and still be accelerating? Give an example to support your answer.

Long Answer Questions

Q13. Explain the concept of acceleration with examples. Discuss the different types of acceleration (uniform, non-uniform, average, and instantaneous). How can acceleration be determined from velocity-time graphs?

Q14. A particle moves along a straight line with its velocity changing according to v(t) = 3t² − 12t + 15, where v is in m/s and t is in seconds. Analyse the motion by finding:

(i) The initial acceleration

(ii) The acceleration at t = 3 s

(iii) The time(s) when acceleration is zero

(iv) The nature of motion (accelerating or decelerating) at t = 1 s and t = 4 s

(v) The total distance travelled in the first 5 seconds

Q15. Analyse the following velocity-time graph (described verbally): From t = 0 to t = 2 s, velocity increases uniformly from 0 to 10 m/s. From t = 2 s to t = 5 s, velocity remains constant at 10 m/s. From t = 5 s to t = 7 s, velocity decreases uniformly to 0 m/s.

(a) Calculate the acceleration in each time interval.

(b) Calculate the total displacement of the particle.

(c) Draw the corresponding acceleration-time graph.

(d) Describe the motion in each interval.

Application-Based Problems

Q16. A metro train in Delhi starts from a station and accelerates uniformly at 1.5 m/s² for 20 seconds. It then moves at constant velocity for 60 seconds, and finally decelerates uniformly at 2 m/s² until it stops at the next station.

(a) Calculate the maximum velocity reached by the train.

(b) Calculate the distance travelled during the acceleration phase.

(c) Calculate the distance travelled during the constant velocity phase.

(d) Calculate the distance travelled during the deceleration phase.

(e) Calculate the total distance between the two stations.

Q17. A car is travelling at 72 km/h when the driver sees a red light 100 m ahead. He applies the brakes and the car decelerates uniformly.

(a) If the car stops just at the traffic light, calculate the deceleration.

(b) Calculate the time taken to stop.

(c) If the driver had been travelling at 90 km/h instead, what minimum deceleration would be required to stop at the same point?

(d) What does this tell you about the relationship between initial speed and stopping distance?

Q18. A ball is thrown vertically upward from the ground with an initial velocity of 20 m/s. (Take g = 10 m/s²)

(a) Calculate the maximum height reached by the ball.

(b) Calculate the time taken to reach the maximum height.

(c) Calculate the acceleration of the ball at the highest point.

(d) Calculate the velocity with which the ball hits the ground.

(e) Calculate the total time of flight.


Total: 30 Marks | Time: 40 mins

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Frame of Reference Motion in a Straight Line Position and Path Length Speed and Velocity Average and Instantaneous Kinematic Equations for Uniform Acceleration Relative Velocity Motion in a Plane Scalars and Vectors Vector Addition Triangle and Parallelogram Law Resolution of Vectors and Unit Vectors Projectile Motion Uniform Circular Motion