Which of the following statements about motion are correct? (i) The s...
- Objective:
- Statement (i) is correct. The simplest type of motion is indeed motion along a straight line, as mentioned in the provided content.
- Statement (ii) is correct. The magnitude of displacement can be equal to the distance travelled, particularly when the object moves in a straight line without changing direction.
- Statement (iii) is incorrect. The motion of a freely falling body is an example of uniformly accelerated motion, not non-uniformly accelerated motion.
- Statement (iv) is correct. The distance-time graph for uniform motion is a straight line, indicating constant speed over time.
- Therefore, the correct statements are (i), (ii), and (iv).
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Which of the following statements about motion are correct? (i) The s...
Correct Statements about Motion
The question presents four statements regarding motion, and we need to determine which ones are correct.
Statement (i): The simplest type of motion is motion along a straight line.
- This statement is correct.
- Motion in a straight line is the most basic form of motion, known as linear motion, and is characterized by a constant direction.
Statement (ii): The magnitude of displacement can be equal to the distance travelled by an object.
- This statement is also correct.
- Displacement is the shortest distance from the initial to the final position, while distance is the total path covered. In cases where the motion is in a straight line without any change in direction, displacement equals distance.
Statement (iii): The motion of a freely falling body is an example of non-uniformly accelerated motion.
- This statement is incorrect.
- A freely falling body accelerates uniformly due to gravity, meaning its acceleration remains constant.
Statement (iv): The distance-time graph for uniform motion is a straight line.
- This statement is correct.
- In uniform motion, the distance covered is directly proportional to time, resulting in a straight line on a distance-time graph.
Conclusion
The correct statements are (i), (ii), and (iv). Therefore, the correct answer is option 'C'.