Speed and velocity, uniform and non uniform motion, average speed and instantaneous velocity - Question Bank

1. What is the average speed of a particle that moves 5 meters east and then 5 meters north, taking 10 seconds?
A) 0.5 m/s
B) 1 m/s
C) sqrt(50)/10 m/s
D) sqrt(50)/5 m/s
2. Which statement is true for uniform circular motion?
A) Velocity is constant.
B) Speed is constant, but velocity changes direction.
C) Speed is changing, but velocity is constant.
D) Both speed and velocity are constant.
3. A particle moves along the x-axis. Its position is given by x(t) = t^3 - 6t^2 + 3, where t is in seconds. Find the instantaneous velocity at t = 2 seconds.
A) -12 m/s
B) -6 m/s
C) 3 m/s
D) 0 m/s
4. The average velocity of an object is defined as the ratio of:
A) Total distance traveled to total time taken.
B) Total displacement to total time taken.
C) Change in speed to change in time.
D) Instantaneous speed to time.
5. If the speed of an object is increasing, its velocity is:
A) Definitely increasing
B) Definitely decreasing
C) Changing, but not necessarily increasing
D) Constant
6. Which of the following is a scalar quantity?
A) Velocity
B) Displacement
C) Speed
D) Acceleration
7. What is the average velocity if a particle moves 10 m east and then 10 m west, returning to its origin?
A) 10 m/s
B) 0 m/s
C) 20 m/s
D) Cannot be determined
8. If the velocity-time graph is a straight line with a positive slope, the motion is:
A) Uniform velocity
B) Uniform acceleration
C) Non-uniform acceleration
D) Retarded motion
9. For motion along a straight line, if the speed is constant, the velocity is:
A) Always constant
B) Can be constant or changing direction
C) Always changing
D) Always zero
10. A car travels 60 km in the first hour and 80 km in the second hour. What is the average speed for the two hours?
A) 70 km/h
B) 140 km/h
C) 60 km/h
D) 80 km/h
11. The instantaneous speed of a particle at time t is the magnitude of its:
A) Average velocity
B) Average speed
C) Instantaneous velocity
D) Displacement
12. If an object's velocity is changing, it is experiencing:
A) Uniform motion
B) Non-uniform motion
C) Constant speed
D) Zero acceleration
13. Which graph represents uniform velocity?
A) A straight line with a non-zero slope on a distance-time graph.
B) A straight line with zero slope on a distance-time graph.
C) A curve on a distance-time graph.
D) A horizontal line on a velocity-time graph.
14. What is the average velocity of a particle that returns to its starting point?
A) Equal to its average speed
B) Non-zero
C) Zero
D) Cannot be determined
15. A particle moves from point P to point Q. The displacement vector is PQ. The distance traveled is:
A) Always equal to the magnitude of the displacement vector.
B) Always less than the magnitude of the displacement vector.
C) Always greater than or equal to the magnitude of the displacement vector.
D) Always zero.
16. If the position of a particle is given by x(t) = 5t, what is its instantaneous velocity at t = 2 seconds?
A) 5 m/s
B) 10 m/s
C) 2 m/s
D) 0 m/s
17. What does a negative velocity indicate?
A) The object is slowing down.
B) The object is speeding up.
C) The object is moving in the negative direction.
D) The object has zero speed.
18. The motion of a freely falling body near the Earth's surface is an example of:
A) Uniform motion
B) Uniform velocity
C) Non-uniform motion with constant acceleration
D) Non-uniform motion with variable acceleration
19. When is the average speed of an object equal to the magnitude of its average velocity?
A) Always
B) Never
C) When the object moves in a straight line without changing direction
D) When the object moves in a circle
20. What is the SI unit of velocity?
A) km/h
B) m/s
C) mph
D) cm/s
21. A car travels the first half of a distance at a speed v1 and the second half at a speed v2. The average speed is:
A) (v1 + v2) / 2
B) 2 / (1/v1 + 1/v2)
C) (v1 * v2) / (v1 + v2)
D) v1 + v2
22. If a man walks around a square park of side 100 m in 40 seconds, his average speed is:
A) 0 m/s
B) 2.5 m/s
C) 5 m/s
D) 10 m/s
23. Which of the following represents instantaneous velocity on a position-time graph?
A) The area under the curve
B) The slope of the curve at a specific point
C) The total distance covered
D) The time taken
24. What is the displacement of a particle that moves from (2, 3) to (5, 7) in a 2D plane?
A) 3 units along x-axis and 4 units along y-axis
B) 5 units along x-axis and 7 units along y-axis
C) 7 units
D) 5 units
25. If a body covers equal distances in equal intervals of time, its motion is:
A) Non-uniform
B) Uniform velocity
C) Uniform speed
D) Accelerated
26. The instantaneous velocity can be found by taking the derivative of the position vector with respect to:
A) Time
B) Distance
C) Acceleration
D) Speed
27. In non-uniform motion, the average velocity and instantaneous velocity are:
A) Always equal
B) Never equal
C) Equal only if the motion is in a straight line without changing direction
D) Equal only if the speed is constant
28. What is the average speed of a car that travels 120 km in 3 hours?
A) 30 km/h
B) 40 km/h
C) 60 km/h
D) 120 km/h
29. A particle moves along a straight line such that its velocity changes from 10 m/s to 20 m/s in 5 seconds. What is the average acceleration?
A) 1 m/s^2
B) 2 m/s^2
C) 3 m/s^2
D) 4 m/s^2
30. Velocity is a vector quantity because it has:
A) Magnitude only
B) Direction only
C) Both magnitude and direction
D) No magnitude
31. If a body travels a distance d1 in time t1 and distance d2 in time t2, the average speed is:
A) (d1 + d2) / (t1 + t2)
B) (d1 / t1) + (d2 / t2)
C) (d1 + d2) / (t1 - t2)
D) (d1 - d2) / (t1 + t2)
32. What is the instantaneous speed of a particle at time t if its position is given by x(t) = 3t^2 + 2t + 1?
A) 6t + 2
B) 3t^2 + 2
C) 6t
D) 2t + 1
33. Which scenario describes non-uniform motion?
A) A train moving at a constant speed on a straight track.
B) A car accelerating from rest on a straight road.
C) A person walking at a steady pace.
D) A planet orbiting a star in a circular path at constant speed.
34. What does the slope of a distance-time graph represent?
A) Velocity
B) Acceleration
C) Speed
D) Displacement
35. If an object moves with constant velocity, its acceleration is:
A) Positive
B) Negative
C) Zero
D) Variable
36. A runner completes one lap of a circular track of radius 50 m in 20 seconds. What is the average velocity of the runner over one lap?
A) 2.5π m/s
B) 5π m/s
C) 0 m/s
D) 50 m/s
37. What is the condition for uniform velocity?
A) Constant speed and changing direction.
B) Changing speed and constant direction.
C) Constant speed and constant direction.
D) Zero speed.
38. The magnitude of instantaneous velocity is equal to:
A) Average speed
B) Instantaneous speed
C) Total distance traveled
D) Average velocity
39. In which type of motion is the speed variable but the direction of motion constant?
A) Uniform motion
B) Non-uniform motion with changing direction
C) Non-uniform motion with constant direction
D) Circular motion
40. A car travels 50 km north and then 50 km south. If the entire journey takes 2 hours, what is the average velocity?
A) 50 km/h north
B) 50 km/h south
C) 25 km/h
D) 0 km/h
41. Which of the following statements is true about instantaneous velocity?
A) It is the magnitude of average velocity.
B) It is the total distance divided by total time.
C) It is the limit of average velocity as the time interval approaches zero.
D) It is always equal to the average speed.
42. Average speed is defined as the ratio of:
A) Total displacement to total time taken.
B) Total distance traveled to total time taken.
C) Change in velocity to change in time.
D) Instantaneous velocity to time.
43. If the speed of an object is constant, it means:
A) Its velocity is also constant.
B) Its velocity is changing.
C) Its direction of motion is changing.
D) It might be undergoing uniform circular motion.
44. Instantaneous velocity is the velocity of an object at a:
A) Particular time interval
B) Particular position
C) Particular instant of time
D) Particular average speed
45. Non-uniform motion implies that the:
A) Velocity of the body remains constant.
B) Speed of the body remains constant.
C) Displacement of the body is zero.
D) Rate of change of position is not constant.
46. A particle moves from point A to point B and back to point A. What is its average velocity for the entire journey?
A) Equal to its average speed
B) Twice its average speed
C) Zero
D) Cannot be determined without knowing the distance
47. What distinguishes velocity from speed?
A) Velocity is always positive, while speed can be negative.
B) Speed is a vector quantity, while velocity is a scalar quantity.
C) Velocity is a vector quantity, while speed is a scalar quantity.
D) Velocity is measured in meters, while speed is measured in seconds.
48. If a car travels 100 meters in 10 seconds, what is its average speed?
A) 5 m/s
B) 10 m/s
C) 20 m/s
D) 100 m/s
49. Which of the following describes a body that is in uniform motion?
A) The body is at rest.
B) The body is changing its direction of motion.
C) The body is covering equal distances in equal intervals of time.
D) The body is covering unequal distances in equal intervals of time.
50. What is the SI unit of speed?
A) kilometer per hour (km/h)
B) meter per second (m/s)
C) miles per hour (mph)
D) centimeter per second (cm/s)
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