Repository: UIHistories Project: War Publications - WWI Compilation 1923 - Article 46 [PAGE 9]

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Initial Velocity

y (f. s.)

Angle of Departure llorizont.il K.-inge X <yi• >

I inH- <.f Flight

/ (MTS.I

6.03 6.16

I 7-1

3.^.1

12.11

15.60 26.89 19.89 8.92 51.66

3° 10', 16 40'

2. In the present war the Germans bombarded Paris from the Gobain Forest, about 70 miles from Paris. Show that, in vacuo, and assuming g = 32.2, the initial velocity must be at least between 3449 and 3450 f. s., and that the corresponding time of flight would be 151.5+ sec. (The expression for X shows that for a given V the range is greatest for tp 45°). 3. The data being as given in the first three columns of the following table, find the result, in vacuum, required by the fourth and fifth columns (see Fig. i ) , (Alger, p. 33).

Angle of DeInitial Velocparture ity V (f. s.) 1000 1100 1250 1400 1500 1750 2000 2400 2600 2900 5° 34' 4° 35' 3° 30' 2° 10' 7° 28' 8° 12' 12° 30' 7° 40' 3° 10' 16° 40'

t

(sees.) 3.01 2.73 2.37 1.64 6.05 5.00 20.00 10.00 8.00 30.00 (yds.) 999 998 986 705 2999 2887 13017 7929 (ft.) 146 120 90 44 590 846 2218 1592

In the first five questions of this problem, and in the eighth, y is maximum e of departure 4coordinates of 200 45°, and an initial veloci position after 6 seconds. 268 Ans.: x — 848.5 f 1

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V