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The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m)?
- a)0
- b)3
- c)4
- d)5
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The velocity V of a vehicle along a straight line is measured in m/s a...
The odometer reading increases from starting point to end because odometer measures distance not displacement.
So, all the areas should be counted postive only.
Area of the given diagram = Odometer reading
Area of the velocity and time graph per second
1st sec triangle = 1/2 * 1 * 1= 1/2
2nd sec square = 1 × 1 = 1
3rd sec square + triangle = 1 × 1 + 1/2 × 1 × 1 = 3/2
4th sec triangle =1/2 * 1 * 2 = 1
5th sec straight line = 0
6th sec triangle = 1/2 * 1 * 1 = 1/2
7th sec triangle = 1/2 * 1 * 1 = 1/2
Total Odometer reading at 7 seconds = 1/2 + 1 + 3/2 + 1 + 0 + 1/2 + 1/2 = 5m
So, all the areas should be counted postive only.
Area of the given diagram = Odometer reading
Area of the velocity and time graph per second
1st sec triangle = 1/2 * 1 * 1= 1/2
2nd sec square = 1 × 1 = 1
3rd sec square + triangle = 1 × 1 + 1/2 × 1 × 1 = 3/2
4th sec triangle =1/2 * 1 * 2 = 1
5th sec straight line = 0
6th sec triangle = 1/2 * 1 * 1 = 1/2
7th sec triangle = 1/2 * 1 * 1 = 1/2
Total Odometer reading at 7 seconds = 1/2 + 1 + 3/2 + 1 + 0 + 1/2 + 1/2 = 5m
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