The motion of a car along a straight path is; shown by the following figure : / The car starts from O and reaches at A, B and C at different instants of time. During its motion from O to C and back to B, the distance covered and the magnitude of the displ

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Q: 68 (NDA-I/2016)
The motion of a car along a straight path is; shown by the following figure : / The car starts from O and reaches at A, B and C at different instants of time. During its motion from O to C and back to B, the distance covered and the magnitude of the displacement are, respectively

question_subject: 

Maths

question_exam: 

NDA-I

stats: 

0,2,11,3,5,3,2

keywords: 

{'straight path': [0, 0, 0, 1], 'motion': [0, 0, 0, 3], 'distance': [0, 3, 3, 3], 'displacement': [0, 1, 0, 3], 'car': [0, 2, 12, 17], 'km': [0, 0, 2, 1], 'magnitude': [0, 0, 3, 10]}

Option 1 states that the distance covered by the car from point O to C and back to B is 25 km, while the magnitude of the displacement is 60 km. However, this is not correct. The displacement is defined as the straight-line distance between the initial and final positions. In this case, the displacement from O to C and back to B forms a triangle.

Option 2 suggests that the distance covered is 95 km and the magnitude of the displacement is 35 km. This is also incorrect. The magnitude of the displacement cannot be greater than the distance covered.

Option 3 states that the distance covered is 60 km and the magnitude of the displacement is 25 km. This is the correct answer. The car moves from O to C and back to B, covering a distance of 60 km. However, the magnitude of the displacement, represented by the straight-line distance, is 25 km.

Option 4 states that the distance covered is 85 km and the magnitude of the displacement is 35 km. This is not correct. The magnitude of the displacement cannot be greater than the distance covered.

Therefore, the correct answer is option 3, where the distance covered is 60 km and the magnitude of the displacement is 25