The escape velocity from earth is v_es. A

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The escape velocity from earth is ${v_{es}}.$ A body is projected with velocity $2{v_{es}}$ with what constant velocity will it move in the inter planetary space

A

${v_{es}}$

B

$3{v_{es}}$

C

$\sqrt 3 {v_{es}}$

D

$\sqrt 5 {v_{es}}$

The escape velocity from earth is ${v_{es}}.$ A body is projected with velocity $2{v_{es}}$ with what constant velocity will it move in the inter planetary space

Velocity of body in inter planetary space $v' = \sqrt {{v^2} - v_{es}^2} $ 

where ${v_{es}} = $ escape velocity and $v =$ velocity of projection  

$v' = \sqrt {{{(2{v_{es}})}^2} - v_{es}^2} = \sqrt {3v_{es}^2} $

$⇒ v' = \sqrt 3 \;{v_{es}}$