A bird moves from a point (1,-2,3) to (4,2,3).If the speed of the bird is 10 m/s, then the velocity vector of the bird is?

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Answer 1 · 2017-07-18T17:09:36

Initial position vector of the bird #vecr_i=hati-2hatj+3hatk#

Final position vector of the bird #vecr_f=4hati+2hatj+3hatk#

So displacement vector

#vecd=vecr_f-vecr_i#

#=(4hati+2hatj+3hatk)-(hati-2hatj+3hatk)#

#=3hati+4hatj#

Unit displacement vector

#=(vecd)/abs(vecd)#

#=(3hati+4hatj)/abs(3hati+4hatj)#

#=(3hati+4hatj)/sqrt(3^2+4^2)#

#=(3hati+4hatj)/5#

The direction of velocity is same as that of displacement.

And the magnitude of velocity is #10m"/"s#

Hence the velocity vector

#vecv=10xx(3hati+4hatj)/5# m/s

#=>vecv=6hati+8hatj# m/s