An object has velocity `barV_(1)` , relative to the ground. An observer moving with a constant velocity `barv_(0)` relative to the ground measures the velocity of the object to be `barV_(2)` (relative to the observer). The magnitudes of these velocities are related by

Options

A. `v_(0)lev_(1)+v_(2)`
B. `v_(1)lev_(2)+v_(0)`
C. `v_(2)lev_(0)+v_(1)`
D. All the options are trus

Answer

D

Explanation

By definition of relative velocity `barv_(1)=barv_(0)+barv_(2) rarr barv_(0)+barv_(2)+(-barv_(1))-=0 rarrv_(0),v_(1)` and `v_(2)` will be sides of a triangle and we know that the sum of any two sides is greater than third side of the triangle