A) \[\sqrt{2gh+{{u}_{^{^{{}}}}}^{2}}\,:u\]
B) \[1:2\]
C) \[1:1\]
D) \[\sqrt{2gh+{{u}^{2}}\,}:\sqrt{2gh}\]
Correct Answer: C
Solution :
[c] When particle is thrown in vertical downward direction with velocity u, then the final velocity at the ground level is \[{{v}^{2}}={{u}^{2}}+2gh\] \[\therefore v=\sqrt{{{u}^{2}}+2gh}\] Another particle is thrown horizontally with same velocity then at the surface of earth. Horizontal component of velocity \[{{v}_{x}}=u\] Therefore, resultant velocity, \[v=\sqrt{{{u}^{2}}+2gh}\] For both the particles, final velocities when they reach the earth?s surface are equal.You need to login to perform this action.
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