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Questions and Answers
Displacement is not zero; then distance must not be zero
Displacement is not zero; then distance must not be zero
False
Distance is not equal to zero; then displacement may equal to zero
Distance is not equal to zero; then displacement may equal to zero
True
Which of the following option is correct for motion in 1-D, without change in direction?
Which of the following option is correct for motion in 1-D, without change in direction?
Which of the following option is never correct for a moving object?
Which of the following option is never correct for a moving object?
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The numerical ratio of displacement to distance is..
The numerical ratio of displacement to distance is..
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Displacement independent of choice of frame of reference
Displacement independent of choice of frame of reference
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For a particle moving on parabolic path distance always grater than displacement
For a particle moving on parabolic path distance always grater than displacement
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Study Notes
Motion in a Straight Line
- Distance and Displacement: Distance is the total path length travelled, while displacement is the change in position from the starting point.
- Displacement can be zero even if the distance is not zero, meaning the starting and ending points are the same. Distance is always greater than or equal to the magnitude of displacement.
- The numerical ratio of displacement to distance is always less than or equal to one.
- The displacement is independent of the choice of the frame of reference.
Motion with Constant Acceleration
-
Equations of Motion:
- v = u + at
- s = ut + 1/2 at²
- v² = u² + 2as
- Where:
- v = final velocity
- u = initial velocity
- a = acceleration
- s = displacement
- t = time
-
Motion under Gravity: Motion under gravity can be treated as a special case of constant acceleration, where the acceleration is due to gravity (approximately 9.8 m/s² downwards). This applies to objects falling freely or projected vertically upwards.
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Important Concepts in this Section: Time of flight, Maximum height, velocity at any time and distance covered at any time for objects projected vertically upwards are all important considerations.
Relative Velocity
- Relative Velocity of Two Objects Moving in Same Direction: The relative velocity of object B with respect to A is the difference between the velocity of object B and the velocity of object A. Example: If object A's velocity is 4 m/s and object B's velocity is 10 m/s, then the relative velocity of B with respect to A is 10 m/s - 4 m/s = 6 m/s.
- Relative Velocity of Two Objects Moving in Opposite Directions: The relative velocity of object B with respect to A is the sum of the velocity of object B and the velocity of object A. Example: If object A's velocity is 10 m/s and object B's velocity is 25 m/s, then the relative velocity of B with respect to A is 10 m/s + 25 m/s = 35 m/s.
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Description
This quiz covers key concepts in motion, including distance, displacement, and equations of motion under constant acceleration. It highlights the differences between distance and displacement, as well as the equations used to calculate motion under gravity. Test your knowledge and grasp the fundamentals of physics!
