Excuse me, the speed of different specifications of bows and arrows?

Bow arm length 1.5m, tension 1500kg. The bending stress of the bow arm (cold rolled steel plate) is 994MPa. The mass of an arrow is 200 grams. The bow arm stores energy 942 J. The initial velocity of the arrow is 97 m/s.

The vertical velocity component of 15 degree angle is 25m/s 1.5 degree angle dead time 2*25/9.8(s)=5. 1(s). The angular range of 15 degree: 97 * cos15 * 5.1(m) = 477 (m).

If it is launched at an angle of 45 degrees, the air time will reach 15.7s, and the vacuum range will reach 1200m.

Air resistance formula: f = (1/2) cρ sv2; C is the air resistance coefficient, which is 0. 1 ~ 0.2 for sphere, 0.045 for water drop, and 0. 1 here.

ρ is the air density, taking 1.29 kg/m 3. The windward area of an object, 50 mm 2. V, is the relative velocity between the object and the air, which is 97m/s..

The resistance f = 0.5 * 0.1*1.29 * 0.00005 * 97 2 (n) = 0.03 (n).

For a 97m/s arrow of 200g, this resistance is 0.03/0.2 (m/s 2) = 0.15 (m/s 2).

Then the falling speed in the dead time of 5. 1s is 0.15 * 5.1(m/s) = 0.765 (m/s). It seems negligible.