Map Sapling Learning macmillan learning A soldier is tasked with measuring the m

Question

Map Sapling Learning macmillan learning A soldier is tasked with measuring the muzzle velocity of a new rifle. Knowing the principles of projectile motion, he decides to perform a simple experiment at the indoor firing range. The soldier hangs a target a distance of d = 1 15 m from the end of the barrel. The rifle is mounted so that the bullet exits moving horizontally at the same height as the bullseye. After 6 trials, the soldier tabulates the values he measured for the distance, h, from the bullseye to the bullet strike. Table 1: Vertical displacement data Bullet drop, h, in cm 5.92 7.45 7.36 6.16 7.49 6.29 What is the most accurate muzzle velocity that the soldier can report to his sergeant? Number m/s What is the uncertainty in this measurement? Number m/ s Tools

Explanation / Answer

------ Find the avarage drop.

40.67 /6 = average 6.778 cm = 0.06778 m

Y=Yo + Voy(t) + (1/2)g(t)²===> Yo=0 Voy=0

Y = 1/2gt² ==> Y = 0.06778

0.06778 = 1/2 (9.8) t²

t = 0.1176===> time of drop

d=rt d=115m, t= 0.1176 s r=?

r= 115/0.1176 = 977.8 m/s===> Muzzle Velocity

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