The following plot depicts the change in the velocity of a body with time.
Which of the following statements regarding the plot is true?
A
The acceleration of the body after L is zero.
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B
The acceleration of the body in region OK is decreasing.
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C
The acceleration of the body after L is infinite.
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D
The acceleration of the body in region KL is increasing.
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Solution
The correct option is A The acceleration of the body after L is zero. In the given velocity-time plot of a body:
The slope of the segment OK is increasing, thus, the body's velocity is increasing with time till K, i.e. the acceleration of the body is also increasing, and is positive.
The slope of the segment KL is decreasing, thus, the body's velocity is decreasing with time till L, i.e. the acceleration of the body is also decreasing, and is negative.
After L, the slope becomes constant, i.e. the body's velocity does not change with time. So, the acceleration after L is zero.