A soldier is tasked with measuring the muzzle velocity of a new rifle. Knowing t

Question

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 = 103 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 height drop in cm:

6.14, 7.12, 7.14, 6.16, 7.38, 5.98.

What is the most accurate muzzle velocity that the soldier can report to his sergeant?

Explanation / Answer

Table: Vertical displacement data
Bullet drop, h, in cm
6.14, 7.12, 7.14, 6.16, 7.38, 5.98.
------ Find the average drop.
40 /6.14 = average 6.51 cm = 0.0651 m
Y=Yo + Voy(t) + (1/2)g(t)

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