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Match the following with correct response. 
(1) Rate of change of velocity 
(2) Rate of change of displacement 
(3) Rate of change of distance 
(4) Rate of change of speed in circular path 

(A) Uniform circular motion 
(B) Velocity 
(C) Acceleration 
(D) Speed
  • a)
    1-A, 2-C, 3-B, 4-D
  • b)
    1-D, 2-A, 3-C, 4-B
  • c)
    1-C, 2-B, 3-D, 4-A
  • d)
    1-B, 2-D, 3-A, 4-C
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Match the following with correct response.(1) Rate of change of veloci...
Acceleration of a body is defined as the rate of change of its velocity with time.
Velocity of a body is defined as the rate of change of its displacement with time.
Speed of a body is the distance travelled by it per unit time.
When a body moves along a circular path,then its direction of motion keeps changing continuously.Therefore,the motion along a circular path is said to be accelerated.
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Most Upvoted Answer
Match the following with correct response.(1) Rate of change of veloci...
Rate of change of velocity - (B) Velocity
Rate of change of displacement - (C) Acceleration
Rate of change of distance - (D) Speed
Rate of change of speed in circular path - (A) Uniform circular motion

Explanation:

Rate of change of velocity:
The rate of change of velocity refers to how quickly an object's velocity is changing. Velocity is a vector quantity that includes both speed and direction. When the velocity of an object changes, it means that either its speed or direction or both are changing. Therefore, the rate of change of velocity is related to acceleration, which is the rate at which an object's velocity changes. Hence, the correct response is (B) Velocity.

Rate of change of displacement:
Displacement is a vector quantity that refers to the change in position of an object. The rate of change of displacement is related to how quickly an object's position is changing. This is the same as the rate of change of velocity, which is acceleration. Acceleration is the rate at which an object's velocity changes, and since velocity is the rate of change of displacement, the rate of change of displacement is related to acceleration. Therefore, the correct response is (C) Acceleration.

Rate of change of distance:
Distance is a scalar quantity that refers to the total path traveled by an object, regardless of its direction. The rate of change of distance refers to how quickly the total path traveled by an object is changing. This is the same as the rate of change of speed, as speed is a scalar quantity that measures how quickly an object is moving without considering its direction. Therefore, the rate of change of distance is related to speed. Hence, the correct response is (D) Speed.

Rate of change of speed in circular path:
In a circular path, an object's speed remains constant, but its velocity changes because its direction changes. The rate of change of speed in a circular path is related to the concept of uniform circular motion. In uniform circular motion, the speed of an object remains constant, but its velocity continuously changes direction due to its circular path. Therefore, the rate of change of speed in a circular path is related to uniform circular motion. Hence, the correct response is (A) Uniform circular motion.
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Match the following with correct response.(1) Rate of change of velocity(2) Rate of change of displacement(3) Rate of change of distance(4) Rate of change of speed in circular path(A) Uniform circular motion(B) Velocity(C) Acceleration(D) Speeda)1-A, 2-C, 3-B, 4-Db)1-D, 2-A, 3-C, 4-Bc)1-C, 2-B, 3-D, 4-Ad)1-B, 2-D, 3-A, 4-CCorrect answer is option 'C'. Can you explain this answer?
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Match the following with correct response.(1) Rate of change of velocity(2) Rate of change of displacement(3) Rate of change of distance(4) Rate of change of speed in circular path(A) Uniform circular motion(B) Velocity(C) Acceleration(D) Speeda)1-A, 2-C, 3-B, 4-Db)1-D, 2-A, 3-C, 4-Bc)1-C, 2-B, 3-D, 4-Ad)1-B, 2-D, 3-A, 4-CCorrect answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Match the following with correct response.(1) Rate of change of velocity(2) Rate of change of displacement(3) Rate of change of distance(4) Rate of change of speed in circular path(A) Uniform circular motion(B) Velocity(C) Acceleration(D) Speeda)1-A, 2-C, 3-B, 4-Db)1-D, 2-A, 3-C, 4-Bc)1-C, 2-B, 3-D, 4-Ad)1-B, 2-D, 3-A, 4-CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Match the following with correct response.(1) Rate of change of velocity(2) Rate of change of displacement(3) Rate of change of distance(4) Rate of change of speed in circular path(A) Uniform circular motion(B) Velocity(C) Acceleration(D) Speeda)1-A, 2-C, 3-B, 4-Db)1-D, 2-A, 3-C, 4-Bc)1-C, 2-B, 3-D, 4-Ad)1-B, 2-D, 3-A, 4-CCorrect answer is option 'C'. Can you explain this answer?.
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