Motion in One Dimension
10.0 Aircraft-wind problem
10.0 Aircraft-wind problem
Aircraft-wind problem is also same as the river-boat problem.
Wind $ \leftrightarrow $ River
Aircraft $ \leftrightarrow $ Boat
| River-boat | Aircraft-wind |
| $v_B:$ Absolute velocity of boat $v_{BR}:$ Velocity of boat wrt river or actual capacity of boat engine to produce this velocity $v_R:$ Velocity of river | $v_A:$ Absolute velocity of aircraft $v_{AW}:$ Velocity of aircraft wrt wind or actual capacity of aircraft engine to produce this velocity $v_W:$ Velocity of velocity of wind |
| We know, $${\overrightarrow v _{BR}} = {\overrightarrow v _B} - {\overrightarrow v _R}$$$${\overrightarrow v _B} = {\overrightarrow v _{BR}} + {\overrightarrow v _R}$$ | Similarly, $${\overrightarrow v _{AW}} = {\overrightarrow v _A} - {\overrightarrow v _W}$$$${\overrightarrow v _A} = {\overrightarrow v _{AW}} + {\overrightarrow v _W}$$ |
| Note: All the cases of river-boat problem is applicable in aircraft-wind problem also. | |
