# An object has velocity  relative to the ground. An observer moving past with a constant velocity  relative to the ground measures the velocity of the object to be  (relative to the observer). The magnitudes of these velocities are related by(A) v0 ≤ v1 + v2.                                        (B) v1 ≤ v2 + v0.(C) v2 ≤ v0 + v1.                               (D) All the above are true.

9 years ago
The correct option is: (C) v2 < v0 + v1.
The object moving with velocity relative to ground observe the maximum velocity of object moving with velocity , when both objet move in the opposite direction relative to each other such that
v2 = v0 + v1
For any other direction of motion between object moving with velocity and object moving with velocity , the relative speed as observed by the object moving with velocity will be less than v0 + v1 .
Therefore, the magnitude of velocity of object moving with velocity relative to the object moving with velocity will always be less than or equal to the sum of their velocity with respect to ground, that is
v2  v0 + v1
Therefore, (C) is the correct option and the rest are ruled out.