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A body of 0.5 kg moves along the positive X-axis under the influence of a varying force F (in newton) as shown below.

If the speed of the object at x = 4 m is 3.16 ms−1, then its speed at x = 8 m is

(a) 3.16 ms−1

(b) 9.3 ms−1

(c) 8 ms−1

(d) 6.8 ms−1

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Answer is : (d) 6.8 ms−1

By work-kinetic energy theorem, work done is equal to change in kinetic energy.

⇒ Area under force-displacement graph

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