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If a body is moving along a circular track of radius 7 m, then distance and displacement covered by the body to move the diametrically opposite point from the starting point is:
(a) 44 m, 44 m
(b) 22 m, 22 m
(c) 22 m, 10 m
(d) 22 m, 14 m?
Most Upvoted Answer
If a body is moving along a circular track of radius 7 m, then distanc...
Understanding the Problem
To find the distance and displacement when a body moves from one point on a circular track to the diametrically opposite point, we need to understand the concepts of distance and displacement.
Distance Covered
- The body moves along the circumference of a circle to reach the diametrically opposite point.
- The formula for the circumference (C) of a circle is given by:
C = 2πr
where r is the radius.
- For a radius of 7 m:
C = 2π(7) ≈ 44 m.
- Since the body moves half the circumference to reach the opposite point:
Distance = C/2 = 44 m / 2 = 22 m.
Displacement Covered
- Displacement is the shortest straight-line distance from the initial position to the final position.
- Moving from one point on the circle to the opposite point forms a diameter.
- The length of the diameter (D) can be calculated as:
D = 2r = 2(7) = 14 m.
Final Results
- Distance covered by the body:
- 22 m (half the circumference)
- Displacement covered by the body:
- 14 m (length of the diameter)
Conclusion
The correct answer is (d) 22 m, 14 m.
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If a body is moving along a circular track of radius 7 m, then distance and displacement covered by the body to move the diametrically opposite point from the starting point is:(a) 44 m, 44 m(b) 22 m, 22 m(c) 22 m, 10 m(d) 22 m, 14 m?
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If a body is moving along a circular track of radius 7 m, then distance and displacement covered by the body to move the diametrically opposite point from the starting point is:(a) 44 m, 44 m(b) 22 m, 22 m(c) 22 m, 10 m(d) 22 m, 14 m? 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 If a body is moving along a circular track of radius 7 m, then distance and displacement covered by the body to move the diametrically opposite point from the starting point is:(a) 44 m, 44 m(b) 22 m, 22 m(c) 22 m, 10 m(d) 22 m, 14 m? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a body is moving along a circular track of radius 7 m, then distance and displacement covered by the body to move the diametrically opposite point from the starting point is:(a) 44 m, 44 m(b) 22 m, 22 m(c) 22 m, 10 m(d) 22 m, 14 m?.
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