Relative to a nonrotating Cartesian coordinate frame with the origin at the center O of the earth, a spacecraft in a rectilinear trajectory has the velocity v= 2î +3ĵ+4k (km/s) when its distance from O is 10,000 km. Find the position vector r when the spacecraft comes to rest. {Ans.: r=5837.4i +8756.1ĵ+11,675k (km) }

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2.14 Relative to a nonrotating Cartesian coordinate frame with the origin at the center O of the earth, a
spacecraft in a rectilinear trajectory has the velocity v = 21+3ĵ+4k (km/s) when its distance
from 0 is 10,000 km. Find the position vector r when the spacecraft comes to rest.
{Ans.: r= = 5837.41 +8756.1ĵ +11,675k (km) }
Transcribed Image Text:2.14 Relative to a nonrotating Cartesian coordinate frame with the origin at the center O of the earth, a spacecraft in a rectilinear trajectory has the velocity v = 21+3ĵ+4k (km/s) when its distance from 0 is 10,000 km. Find the position vector r when the spacecraft comes to rest. {Ans.: r= = 5837.41 +8756.1ĵ +11,675k (km) }
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