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Problem #1 : 1D Kinematics : Relative Motion
The diagram shows a snapshot at time t=0 of the two balls (Red and Green) on a
collision course. At t=0, the balls are separated by a distance D=12m. The Green
ball moves with a constant velocity VG= 6 m/s due east, while the red ball moves
with constant velocity (VR) =2 m/s due west.
(a) Take the origin to be the position of red ball and positive direction to the east.
Determine the equation for the displacement (x) of green ball with respect to time
(t) in the reference frame of red ball?
Solution:
Relative velocity of G (Green ball) respect R (Red ball is)
So, the equation will be
Part (a)
With:
Substituting we...