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 f 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 range. The soldier hangs a target a distance of d= 1.10 x 102 m from Bullet drop h, in cm 6.14 7.34 7.25 6.16 7.49 6.18 What is the most accurate muzzle velocity that the soldier can report to his sergeant? Number m/s

Explanation / Answer

given
d = 1.1*10^2 m
form the given data
hav = 6.76 m

hence

let muzzle speed be v
then
h = 0.5*at^2
and
d = vt = v*sqroot(2h/a)
hence
1.1*10^2 = v*sqroot(2*6.76/9.81)
v = 93.699 m/s

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