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Question
An object has velocity →v1 relative to the ground.An observer moving with a constant velocity →v0 relative to the ground measure the velocity of the object to →v2 be (relative to the observer). The magnitudes of these velocities are related by
An object has velocity →v1 relative to the ground.An observer moving with a constant velocity →v0 relative to the ground measure the velocity of the object to →v2 be (relative to the observer). The magnitudes of these velocities are related by
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Solution
The correct option is C v2≤v0+v1
The object moving with velocity →vo relative to ground observes the maximum velocity of the object moving with velocity→v1 , when both the object moves in the opposite direction relative to each other such that v2=v0+v1For any other direction of motion between object moving with velocity →v0 and object moving with velocity →v1, the relative speed as observed by the object moving with velocity →v1 will be less than v0+v1 .Thus the magnitude of velocity of object moving with velocity →v0relative to the object moving with velocity→v1 will always be less than or equal to the sum of their velocity with respect to ground, that isv2≤v0+v1
The object moving with velocity →vo relative to ground observes the maximum velocity of the object moving with velocity
→v1 , when both the object moves in the opposite direction relative to each other such that v2=v0+v1
For any other direction of motion between object moving with velocity →v0 and object moving with velocity →v1,
the relative speed as observed by the object moving with velocity →v1 will be less than v0+v1 .
Thus the magnitude of velocity of object moving with velocity →v0relative to the object moving with velocity→v1 will always
be less than or equal to the sum of their velocity with respect to ground, that is
v2≤v0+v1
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