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All questions of Position, Distance and Displacement for SSS 2 Exam

The ratio of magnitude of velocity and speed is always:
  • a)
    Equal to or less than one
  • b)
    Less than one
  • c)
    One
  • d)
    Equal to or greater than one
Correct answer is option 'A'. Can you explain this answer?

Anjana Sharma answered
The displacement of the body in given time is always equal to or less than distance covered, because, velocity is displacement per unit time and speed is distance covered per unit time, therefore, ratio of magnitude of velocity and speed is always equal to or less than one.

A particle is moving along a circle of radius R such that it completes one revolution in 40 seconds. What will be the displacement after 2 minutes 20 seconds?
  • a)
    6R
  • b)
    2R
  • c)
    4R
  • d)
    R
Correct answer is option 'B'. Can you explain this answer?

Nandini Patel answered
1 revolution in 40 seconds
In 1 second it covers = 1/40 revolution
In 140 sec = 1/40 * 140 =7/2 rotation = 3 and half rotation
Then the particle will be on the diametrically opposite end. 
Therefore, Displacement = R + R = 2R

Which of the following is not an example of a rectilinear motion?
  • a)
    A car moving on a straight road.
  • b)
    A rain drop falling towards the earth.
  • c)
    A car moving in a circular path.
  • d)
    A wooden block sliding down the inclined plane.
Correct answer is option 'A'. Can you explain this answer?

Neha Joshi answered
Rectilinear motion is another name for straight-line motion
A body is said to experience rectilinear motion if any two particles of the body travel the same distance along two parallel straight lines.
A car moving in a circular path changes its direction at every instant. Thus, it is not the rectilinear motion.

 The numerical ratio of velocity to speed is:
  • a)
    Either less than or equal to 1
  • b)
    Equal to 1
  • c)
    Greater than 1
  • d)
    Less than 1
Correct answer is option 'A'. Can you explain this answer?

Charvi Mehta answered
When an object is moving along a straight path, magnitude of average velocity is equal to the average speed. Therefore, numerical ratio of average velocity to average speed is one in a straight line motion.
But, during curved motion, the displacement<distance covered, so the velocity<speed.

A vehicle travels half the distance L with speed V1and the other half with speed V2, then its average speed is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Gaurav Kumar answered

 
Let the vehicle travels from A to B. Distances, velocities, and time taken are shown. To calculate average speed we will calculate the total distance covered and will divide it by the time interval in which it covers that total distance. 
Time taken to travel first half distance t1
Time taken to travel first half distance t1
Total time taken = t+ t2
We know that vav ​= Average speed = Total Distance / Total Time
 

The ratio of displacement to distance is
  • a)
    Greater than 1
  • b)
    Either less than or equal to 1
  • c)
    Less than 1
  • d)
    Equal to 1
Correct answer is option 'B'. Can you explain this answer?

Saumya Dey answered
Ratio of Displacement to Distance

Displacement and distance are two terms used in physics to describe the motion of an object. Displacement refers to the change in position of an object from its initial to final position, whereas distance refers to the total path covered by the object during its motion.

Ratio of Displacement to Distance Formula

The ratio of displacement to distance is given by:

Displacement / Distance

This ratio is used to determine the efficiency of an object's motion. If the ratio is equal to 1, it means that the object has moved in a straight line from its initial to final position. If the ratio is less than 1, it means that the object has taken a longer path to reach its final position, and if the ratio is greater than 1, it means that the object has moved back and forth before reaching its final position.

Answer Explanation

The correct answer to the question is option B, which states that the ratio of displacement to distance is either less than or equal to 1. This is because an object can never cover a greater distance than its displacement. The displacement represents the shortest distance between the initial and final positions of an object, whereas the distance represents the total path covered by the object.

Therefore, the displacement can be equal to or less than the distance covered by the object, but it can never be greater than the distance. This is the reason why the ratio of displacement to distance is either less than or equal to 1.

A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after:
  • a)
    21 s
  • b)
    29 s
  • c)
    31 s
  • d)
    37 s
Correct answer is option 'B'. Can you explain this answer?

Geetika Shah answered
Displacement in first eight steps = (5 - 3) m = 2 m
Time taken for first eight steps = 8 s
Time taken by the drunkard to cover first 6 m of journey = 8/2 * 6 = 24 s
If the drunkard takes 5 steps more, he will fall into the pit. So the time taken by the drunkard to cover last five steps = 5 s
Total time taken = 24 s + 5 s = 29 s

The location of a particle is changed. What can we say about the displacement and distance covered by the particle?
  • a)
    Both cannot be zero
  • b)
    One of the two may be zero
  • c)
    Both must be zero
  • d)
    Both must be equal
Correct answer is option 'B'. Can you explain this answer?

Shreya Menon answered
Understanding Displacement and Distance
Displacement and distance are two fundamental concepts in physics that describe motion. Here's a detailed explanation of their relationship when a particle's location changes.
Definition of Distance
- Distance is a scalar quantity that refers to the total path length traveled by a particle, regardless of direction.
- It can never be negative and is always equal to or greater than zero.
Definition of Displacement
- Displacement is a vector quantity that represents the change in position of a particle.
- It considers both magnitude and direction, calculated as the straight-line distance between the initial and final positions.
Possible Scenarios
- Both Displacement and Distance Cannot Be Zero
- This is false. If a particle does not move, both displacement and distance are zero.
- One of the Two May Be Zero
- This is true. If the particle returns to its initial position, the displacement is zero, but the distance traveled is the total length of the path taken.
- Both Must Be Equal
- This is false in general. They are equal only when the motion is in a straight line without any deviation.
- Both Must Be Zero
- This is false. They are zero only when there is no movement at all.
Conclusion
In summary, the correct answer is option 'B': One of the two may be zero. When analyzing a particle's motion, it's crucial to understand that while distance can vary, displacement may become zero when the particle returns to its starting point. This illustrates the distinct nature of these two concepts in physics.

An upward, straight sloping line (left to right) on a distance time graph means:-
  • a)
    Speeding up
  • b)
    Constant Speed
  • c)
    Slowing down
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Mohit Rajpoot answered
A distance-time graph with a straight line sloping upwards indicates that the distance is increasing at a uniform rate over time. This means the object is covering equal distances in equal intervals of time, which is the definition of constant speed.

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