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Initial velocity of the particle `=15 km/s` <br> let its speed be V at intesteller space <br> `=:.(1/2)m[15xx10^3-V^2]=int_R^oo (GMm)/x^2dx` <br> rarr (1/2)m[(15xx10^3)^2-V^2]=GMm[(-1)/x]` <br> `rarr (1/2)m[(225xx10^5)-v^2]=(GMm)/R` <br> `rarr 225xx10^5-v^2=(2xx6.67xx6xx10^24)/(6400xx10^3)` <br> `rarr v^2=225xx10^6-40.02/32xx10^8` <br> `=2.25xx10^8-1.2xx10^8` <br> `=10^98(1.05)` <br> `or v=1.01xx10^4m/s` <br> `=10 km/s`