A ball is thrown vertically upwards. It was observed, at a height h twice with a time interval \[\Delta \,t\]. The initial velocity of the ball is

\[\sqrt{8gh+4{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]

\[\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]

\[\sqrt{8gh+{{\left( \frac{g\Delta \,t}{2} \right)}^{2}}}\]

\[\frac{1}{2}\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]

A ball is thrown vertically upwards. It was observed, at a height h tw

1.	A ball is thrown vertically upwards. It was observed, at a height h twice with a time interval \[\Delta \,t\]. The initial velocity of the ball is
A.	\[\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]
B.	\[\sqrt{8gh+{{\left( \frac{g\Delta \,t}{2} \right)}^{2}}}\]
C.	\[\frac{1}{2}\sqrt{8gh+{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]
D.	\[\sqrt{8gh+4{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]
Answer» D. \[\sqrt{8gh+4{{g}^{2}}{{\left( \Delta \,t \right)}^{2}}}\]