A) \[x=h-{{v}_{1}}t\]
B) \[x=\left( h-{{v}_{1}} \right)t\]
C) \[x=h-\frac{{{v}_{1}}}{t}\]
D) \[x=\frac{h}{t}-{{v}_{1}}\]
Correct Answer: A
Solution :
The distance travelled by the body A is A, given by \[{{v}_{1}}t=-\frac{g{{t}^{2}}}{2}\] and that travelled by the body B is \[{{\text{h}}_{2}}=\frac{g{{t}^{2}}}{2}\]s The distance between the bodies \[=x=h-({{h}_{1}}+{{h}_{2}}).\] Since\[{{\text{h}}_{\text{1}}}\text{+}{{\text{h}}_{\text{2}}}\text{=}{{\text{v}}_{\text{1}}}\text{t}\], the relation sought is \[x=h-{{v}_{1}}t\]
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