A) \[\frac{K}{\sqrt{2}}\]
B) \[\frac{\sqrt{2}}{K}\]
C) \[\frac{K}{2}\]
D) K
Correct Answer: C
Solution :
As, kinetic energy of body is \[K=\,\,\frac{1}{2}m{{v}^{2}}\] \[v=\sqrt{\frac{2K}{m}}\] At highest point vertical component is zero and vertical component is non-zero. \[{{v}_{x}}=v\,\cos \,\,45{}^\circ =\sqrt{\frac{2K}{m}}\times \frac{1}{\sqrt{2}}=\sqrt{\frac{K}{m}}\] Now, kinetic energy at highest point is \[=\,\frac{1}{2}mv_{x}^{2}=\frac{1}{2}m\left( \frac{K}{m} \right)=\frac{K}{2}\]
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