A) \[0\,m/s\]
B) \[20\sqrt{2}m/s\]
C) \[20\sqrt{3}m/s\]
D) \[40\,m/s\]
Correct Answer: D
Solution :
[d] Area between curve and displacement axis \[=\frac{1}{2}\times (12+4)\times 10=80J\] In this time, body acquires kinetic energy = \[\frac{1}{2}m{{v}^{2}}\] By the law of conservation of energy \[\frac{1}{2}m{{v}^{2}}=80J\] \[\Rightarrow \frac{1}{2}\times 0.1\times {{v}^{2}}=80\] \[\Rightarrow {{v}^{2}}=1600\] \[\Rightarrow v=40m/s\]
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