What is the speed of an object that travels from ( -2,1,2) to ( -3, 0,-7 ) over 3 s?

1 Answer
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Jan 17, 2016

The speed of the object ="distance"/"time"=3.037 " units/s"

Explanation:

  • If you take the two points as standard form vectors, the distance between them would be the magnitude of the vector of their difference.

So take vecA=<-2,1,2>, vecB=<-3,0,-7>

  • vec(A-B)=<-1,1,9>
    |A-B|=sqrt(-1^2+1^2+9^2)
    |A-B|=sqrt(83)=9.110
    "distance"=9.110

  • The speed of the object ="distance"/"time"
    =9.110/3=3.037 " units/s"

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