Objects A and B are at the origin. If object A moves to #(-3 ,-1 )# and object B moves to #(-7 ,8 )# over #3 s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

Question

Objects A and B are at the origin.  If object A moves to #(-3  ,-1  )# and object B moves to #(-7  ,8  )# over #3  s#, what is the relative velocity of object B from the perspective of object A?  Assume that all units are denominated in meters.

Olivia Askew · Accepted Answer

#v=3.28m/s#

#alpha=113.96 ^o#

#AB=sqrt(9^2+4^2)#
#AB=sqrt(81+16)#
#AB=sqrt97#
#AB=9.85 " "m#

#v=(AB)/(time)#

#v=(9.85)/3#

#v=3.28m/s#

#alpha=113.96 ^o#

Layla Ahmed · Answer

undefined To find the relative velocity of object B from the perspective of object A, subtract the velocity of object A from the velocity of object B.

The velocity of object A is (-3 m/s, -1 m/s) and the velocity of object B is (-7 m/s, 8 m/s).

Relative velocity of B from A = Velocity of B - Velocity of A

Relative velocity of B from A = (-7 m/s, 8 m/s) - (-3 m/s, -1 m/s)

Relative velocity of B from A = (-7 - (-3) m/s, 8 - (-1) m/s)

Relative velocity of B from A = (-7 + 3 m/s, 8 + 1 m/s)

Relative velocity of B from A = (-4 m/s, 9 m/s)

So, the relative velocity of object B from the perspective of object A is (-4 m/s, 9 m/s).