A man falling vertically by parachute in a steady downpour of rain ob- serves that when his speed is V the rain appears to make angle a with the upward vertical. When his speed is V2(V2 > Vi) the rain appears to make angle B with the upward vertical. Show that the rain actually falls at an angle 0 with the vertical given by (V2 – V1) cot 0 = V2 cot a - V cot 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A man falling vertically by parachute in a steady downpour of rain ob-
serves that when his speed is Vi the rain appears to make angle a with
the upward vertical. When his speed is V2(V2 > Vi) the rain appears to
make angle B with the upward vertical.
Show that the rain actually falls at an angle 0 with the vertical given by
(V2 – V1) cot 0 = V2 cot a – Vị cot 3.
Transcribed Image Text:A man falling vertically by parachute in a steady downpour of rain ob- serves that when his speed is Vi the rain appears to make angle a with the upward vertical. When his speed is V2(V2 > Vi) the rain appears to make angle B with the upward vertical. Show that the rain actually falls at an angle 0 with the vertical given by (V2 – V1) cot 0 = V2 cot a – Vị cot 3.
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