Objects A and B are at the origin. If object A moves to #(0 ,4 )# and object B moves to #(9 ,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.
1 Answer
Answer:
Explanation:
We're asked to find the relative velocity of object
Let's first find the (assumed to be constant) velocity components of

#v_(Ax"/"O) = (4"m")/(3"s") = 1.33# #"m/s"# 
#v_(Ay"/"O) = (0"m")/(3"s") = 0# #"m/s"# 
#v_(Bx"/"O) = (9"m")/(3"s") = 3# #"m/s"# 
#v_(By"/"O) = (8"m")/(3"s") = 2.67# #"m/s"#
The equation here for the velocity of
Here, the velocity
Splitting this up into components, we have
So,
The magnitude of
Thus, the relative speed of object