Let u be the velocity of the projection and O be the point of projection. Let P be the point in the path of the particle such that OP=h. Then,
$\displaystyle h=ut-\frac { 1 }{ 2 } { gt }^{ 2 }\Rightarrow { gt }^{ 2 }-2ut+2h=0$...(i)
Clearly, $\displaystyle { t } _{ 1 }{ t } _{ 2 }$, are two roots of this equation.
$\displaystyle \therefore \quad { t } _{ 1 }{ t } _{ 2 }=\frac { 2h }{ g } $
$\displaystyle \Rightarrow \quad h=\frac { 1 }{ 2 } g{ t } _{ 1 }{ t } _{ 2 }$

P.E of orbiting satellite at distance $r$ from centre of earth

$=\cfrac{-GMm}{r}\\K.E=\cfrac{GMm}{2R}$ and $M.E=\cfrac{-GMm}{2R}$

If $R$ decreased K.E increases.

P.E and M.E become more negative, thus decrease.

The wreckage will spin with no translatory motion$.$

The National Aeronautics and Space Administration (NASA) is an independent agency of the US federal govt. responsible for the civilian space program and aeronautics and aerospace research.

The given statement is true. Space shuttle carries satellites to space for research work. Along with research, space shuttle is also used to carry astronauts on various heavenly bodies for research work.

Temperature was bought down by about $10°C$ by rotating the spacecraft $20$degrees and switching of some of the instruments.

Astra is an all weather beyond-visual-range air-to-air missile developed by the DRDO, India.

Open paint and then open your BMP file, Next click on file and then save as. In newer version of paint that have the ribbon interface click on the title menu icon, in the Save As type dropdown choose the JPEG as the file format.

Geo stationary satellite revolves at fixed height. A Geo stationary satellite is an earth orbiting satellite which is placed at an altitude of approximately 35,800 kms directly over the equator, that revolves in the same direction the earth rotates.

Data validation is a process of ensuring data have undergone data cleansing to ensure they have data quality i.e they are both correct and useful. Apart from data cleansing the data must be within possible value range that ensures smooth and effective functioning of the space satellite. Hence all the three option are correct.

A switch can be used in a network in preference to HUB because a switch helps far better than a HUB to reduce the network traffic.

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