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a space craft traveling at a velocity of <-20;-90;40)m/s isobserved to be at a l

ID: 1736775 • Letter: A

Question

a space craft traveling at a velocity of <-20;-90;40)m/s isobserved to be at a location <200;300;-500>m relative toorigin located nearby asteroid. at a later time the spacecraft isobserved to be at location<-380;-2310;660>m. a- how long did it take the spacecraft to travel between theselocations? b- how far did the spacecraft travel? c-what is the speed of the spacecraft? d- what is the unit vector in the direction on thespacecraft's velocity? a space craft traveling at a velocity of <-20;-90;40)m/s isobserved to be at a location <200;300;-500>m relative toorigin located nearby asteroid. at a later time the spacecraft isobserved to be at location<-380;-2310;660>m. a- how long did it take the spacecraft to travel between theselocations? b- how far did the spacecraft travel? c-what is the speed of the spacecraft? d- what is the unit vector in the direction on thespacecraft's velocity?

Explanation / Answer

v = d / t 20i - 90j + 40k = [(-380i + -2310j + 660k) - (200i + 300j - 500k)]/ t 20i - 90j + 40k = [(-580i + -2610j - 1160k)] / t (i,j,k are to be understood as unit vectors) now, we can to convert to magnitudes: ( |a| =(ax2 + ay2 +az2) ) 100.498 m/s = 2914.46 m / t t = 29 sec.