Class 11 Chapter 2 MCQ Motion in a Straight Line

 

Basic Concepts and Definitions

1. What is the SI unit of displacement?

   • a) Meter (m)
   • b) Kilometer (km)
   • c) Centimeter (cm)
   • d) Millimeter (mm)
   • Answer: a) Meter (m)

2. What is the dimension of velocity?

   • a) [LT^-1]
   • b) [L^2T^-1]
   • c) [L^2T^-2]
   • d) [LT^-2]
   • Answer: a) [LT^-1]

3. Which of the following is a scalar quantity?

   • a) Displacement
   • b) Velocity
   • c) Speed
   • d) Acceleration
   • Answer: c) Speed

4. In uniform motion, which of the following quantities remain constant?

   • a) Displacement
   • b) Velocity
   • c) Speed
   • d) Acceleration
   • Answer: b) Velocity

Instantaneous Velocity and Speed

5. Instantaneous velocity is defined as:

   • a) Average velocity over a time interval
   • b) Displacement divided by time
   • c) Limit of average velocity as the time interval approaches zero
   • d) Total distance divided by total time
   • Answer: c) Limit of average velocity as the time interval approaches zero

6. What is the instantaneous speed of an object at a particular moment in time?

   • a) Zero
   • b) The same as its instantaneous velocity
   • c) Half of its instantaneous velocity
   • d) Twice its instantaneous velocity
   • Answer: b) The same as its instantaneous velocity

Acceleration

7. Which of the following is the SI unit of acceleration?

   • a) m/s
   • b) m/s^2
   • c) km/h
   • d) cm/s
   • Answer: b) m/s^2

8. Acceleration is the rate of change of:

   • a) Displacement
   • b) Speed
   • c) Velocity
   • d) Distance
   • Answer: c) Velocity

9. An object is moving with uniform acceleration. If its initial velocity is 5 m/s and its final velocity after 3 seconds is 20 m/s, what is its acceleration?

   • a) 3 m/s^2
   • b) 5 m/s^2
   • c) 7 m/s^2
   • d) 15 m/s^2
   • Answer: b) 5 m/s^2

Kinematic Equations for Uniformly Accelerated Motion

10. Which of the following is not a kinematic equation for uniformly accelerated motion?

    • a) $v = v_0 + at$
    • b) $s = v_0t + \frac{1}{2}at^2$
    • c) $v^2 = v_0^2 + 2as$
    • d) $s = vt$
    • Answer: d) $s = vt$

11. If an object starts from rest and accelerates uniformly at 4 m/s^2, what will be its velocity after 3 seconds?

    • a) 4 m/s
    • b) 8 m/s
    • c) 12 m/s
    • d) 16 m/s
    • Answer: c) 12 m/s

12. A car accelerates uniformly from 10 m/s to 20 m/s in 5 seconds. What is the displacement during this time?

    • a) 50 m
    • b) 75 m
    • c) 100 m
    • d) 125 m
    • Answer: b) 75 m

Graphs of Motion

13. In a position-time graph for uniform motion, the graph is:

    • a) A straight line parallel to the time axis
    • b) A straight line with a positive slope
    • c) A straight line with a negative slope
    • d) A curve
    • Answer: b) A straight line with a positive slope

14. What does the slope of a velocity-time graph represent?

    • a) Displacement
    • b) Acceleration
    • c) Speed
    • d) Distance
    • Answer: b) Acceleration

15. In a velocity-time graph, the area under the curve represents:

    • a) Displacement
    • b) Acceleration
    • c) Speed
    • d) Velocity
    • Answer: a) Displacement

Relative Velocity

16. The relative velocity of object A with respect to object B is:

    • a) $v_A + v_B$
    • b) $v_A - v_B$
    • c) $v_B - v_A$
    • d) $v_A \times v_B$
    • Answer: b) $v_A - v_B$

17. Two cars are moving in the same direction with velocities of 60 km/h and 80 km/h. What is the relative velocity of the faster car with respect to the slower car?

    • a) 20 km/h
    • b) 40 km/h
    • c) 60 km/h
    • d) 80 km/h
    • Answer: a) 20 km/h

Advanced Concepts and Problem Solving

18. An object moves with a constant acceleration of 5 m/s^2. If its initial velocity is 2 m/s, what is its displacement after 4 seconds?

    • a) 36 m
    • b) 44 m
    • c) 48 m
    • d) 52 m
    • Answer: b) 44 m

19. A particle moves in a straight line with an initial velocity of 3 m/s and a constant acceleration of 2 m/s^2. What will be its velocity after 6 seconds?

    • a) 12 m/s
    • b) 15 m/s
    • c) 18 m/s
    • d) 21 m/s
    • Answer: c) 15 m/s

20. A car starts from rest and travels for 5 seconds with a constant acceleration of 2 m/s^2. What is the distance traveled by the car?

    • a) 10 m
    • b) 15 m
    • c) 20 m
    • d) 25 m
    • Answer: d) 25 m

21. If a body is projected vertically upwards with a velocity of 20 m/s, how long will it take to reach its highest point? (g = 10 m/s^2)

    • a) 1 s
    • b) 2 s
    • c) 3 s
    • d) 4 s
    • Answer: b) 2 s

22. A body moving with a uniform acceleration travels 50 m in the 5th second of its motion. What is the acceleration?

    • a) 2 m/s^2
    • b) 4 m/s^2
    • c) 6 m/s^2
    • d) 8 m/s^2
    • Answer: b) 4 m/s^2

23. A train accelerates from rest at a constant rate of 2 m/s^2 for 10 seconds. What is its final velocity?

    • a) 10 m/s
    • b) 15 m/s
    • c) 20 m/s
    • d) 25 m/s
    • Answer: c) 20 m/s

Graph-Related Questions

24. Which graph correctly represents the motion of an object with zero acceleration?

    • a) A straight line with a positive slope in a position-time graph
    • b) A horizontal line in a velocity-time graph
    • c) A straight line with a negative slope in a velocity-time graph
    • d) A curve in a position-time graph
    • Answer: b) A horizontal line in a velocity-time graph

25. For an object moving with uniform acceleration, the velocity-time graph is:

    • a) A curve
    • b) A straight line parallel to the time axis
    • c) A straight line with a constant slope
    • d) A straight line with varying slope
    • Answer: c) A straight line with a constant slope

26. In a velocity-time graph, what does the area under the curve represent?

    • a) Speed
    • b) Velocity
    • c) Acceleration
    • d) Displacement
    • Answer: d) Displacement

Kinematic Problems with Graphs

27. A car moves with a constant velocity of 10 m/s for 5 seconds and then decelerates uniformly to rest in the next 5 seconds. What is the total distance covered?

    • a) 25 m
    • b) 50 m
    • c) 75 m
    • d) 100 m
    • Answer: b) 75 m

28. The acceleration-time graph of an object is a horizontal line parallel to the time axis. What does this indicate about the object's motion?

    • a) The object is moving with constant velocity.
    • b) The object is at rest.
    • c) The object is moving with constant acceleration.
    • d) The object is accelerating non-uniformly.
    • Answer: c) The object is moving with constant acceleration

29. Which of the following velocity-time graphs represents uniformly accelerated motion starting from rest?

    • a) A straight line passing through the origin with a constant positive slope
    • b) A straight line parallel to the time axis
    • c) A curve starting from the origin
    • d) A straight line with a negative slope
    • Answer: a) A straight line passing through the origin with a constant positive slope

Advanced Graph Questions

30. An object starts from rest and its velocity-time graph is a straight line with a slope of 4 m/s^2. What is the acceleration of the object?

    • a) 2 m/s^2
    • b) 4 m/s^2
    • c) 6 m/s^2
    • d) 8 m/s^2
    • Answer: b) 4 m/s^2

31. The displacement-time graph of an object is a parabola opening upwards. What does this indicate about the object's motion?

    • a) Uniform motion
    • b) Uniform acceleration
    • c) Uniform deceleration
    • d) Non-uniform motion
    • Answer: b) Uniform acceleration

Relative Motion Problems

32. Two trains A and B are moving in the same direction on parallel tracks with velocities of 40 m/s and 50 m/s respectively. What is the relative velocity of train B with respect to train A?

    • a) 10 m/s
    • b) 20 m/s
    • c) 30 m/s
    • d) 50 m/s
    • Answer: a) 10 m/s

33. If two objects are moving towards each other with speeds of 20 m/s and 30 m/s, what is their relative speed?

    • a) 10 m/s
    • b) 30 m/s
    • c) 50 m/s
    • d) 60 m/s
    • Answer: c) 50 m/s

Application of Concepts

34. An object is thrown vertically upwards with a velocity of 20 m/s. How long will it take to return to the ground? (Assume g = 10 m/s^2)

    • a) 2 s
    • b) 4 s
    • c) 6 s
    • d) 8 s
    • Answer: b) 4 s

35. A ball is dropped from a height of 80 m. How long will it take to reach the ground? (Assume g = 10 m/s^2)

    • a) 2 s
    • b) 3 s
    • c) 4 s
    • d) 5 s
    • Answer: c) 4 s

Complex Problem Solving

36. A car traveling at 20 m/s decelerates uniformly at 2 m/s^2. How much time will it take to come to a stop?

    • a) 5 s
    • b) 10 s
    • c) 15 s
    • d) 20 s
    • Answer: a) 10 s

37. A particle moves along a straight line with a velocity given by $v(t) = 3t - 2$ m/s. What is the acceleration of the particle?

    • a) 1 m/s^2
    • b) 2 m/s^2
    • c) 3 m/s^2
    • d) 4 m/s^2
    • Answer: c) 3 m/s^2

Additional Advanced Problems

38. If an object is thrown upwards with a velocity of 30 m/s, what is the maximum height it reaches? (g = 10 m/s^2)

    • a) 30 m
    • b) 45 m
    • c) 60 m
    • d) 90 m
    • Answer: b) 45 m

39. A car accelerates from rest at a constant rate of 3 m/s^2 for 5 seconds. What is its final velocity?

    • a) 10 m/s
    • b) 15 m/s
    • c) 20 m/s
    • d) 25 m/s
    • Answer: b) 15 m/s

40. A particle moves with an initial velocity of 5 m/s and an acceleration of 2 m/s^2. What is the displacement after 4 seconds?

    • a) 24 m
    • b) 28 m
    • c) 32 m
    • d) 36 m
    • Answer: c) 32 m

41. A car moving with a velocity of 30 m/s applies brakes and comes to a stop in 10 seconds. What is the deceleration?

    • a) 2 m/s^2
    • b) 3 m/s^2
    • c) 4 m/s^2
    • d) 5 m/s^2
    • Answer: b) 3 m/s^2

42. An object is projected vertically upwards with an initial velocity of 25 m/s. How long will it take to reach the maximum height? (g = 10 m/s^2)

    • a) 2.5 s
    • b) 3 s
    • c) 3.5 s
    • d) 4 s
    • Answer: a) 2.5 s

43. The velocity-time graph of an object is a horizontal line. What does this indicate about the object's motion?

    • a) The object is at rest.
    • b) The object is moving with constant velocity.
    • c) The object is moving with constant acceleration.
    • d) The object is accelerating non-uniformly.
    • Answer: b) The object is moving with constant velocity

44. A ball is thrown upwards with a velocity of 15 m/s. What will be its velocity after 2 seconds? (g = 10 m/s^2)

    • a) 5 m/s upwards
    • b) 5 m/s downwards
    • c) 0 m/s
    • d) 10 m/s downwards
    • Answer: b) 5 m/s downwards

Challenging Problems

45. An object is moving with an initial velocity of 6 m/s and a constant acceleration of 4 m/s^2. What will be its velocity after traveling 15 meters?

    • a) 12 m/s
    • b) 14 m/s
    • c) 16 m/s
    • d) 18 m/s
    • Answer: c) 16 m/s

46. If a car travels with a velocity of 20 m/s for 10 seconds and then decelerates uniformly to rest in the next 5 seconds, what is the total distance traveled?

    • a) 200 m
    • b) 250 m
    • c) 300 m
    • d) 350 m
    • Answer: b) 250 m

47. A particle starts from rest and accelerates at 4 m/s^2. How much distance will it cover in 3 seconds?

    • a) 12 m
    • b) 18 m
    • c) 24 m
    • d) 36 m
    • Answer: b) 18 m

48. A car decelerates uniformly from 30 m/s to 10 m/s in 5 seconds. What is the distance covered during this time?

    • a) 50 m
    • b) 75 m
    • c) 100 m
    • d) 125 m
    • Answer: b) 100 m

49. An object is dropped from a height of 45 m. How long will it take to reach the ground? (g = 10 m/s^2)

    • a) 2 s
    • b) 3 s
    • c) 4 s
    • d) 5 s
    • Answer: b) 3 s

50. A train moving with a velocity of 20 m/s starts to decelerate at a constant rate of 2 m/s^2. How much time will it take to come to a stop?

    • a) 5 s
    • b) 10 s
    • c) 15 s
    • d) 20 s
    • Answer: b) 10 s