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

ID: 1659803 • Letter: A

Question

A soldier is tasked with measuring the muzzle velocity of a new rifle. Knowing the Table 1: Vertical principles of projectile motion, he decides to perform a simple experiment at thedisplacement data indoor firing range. The soldier hangs a target a distance of d 112 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. Bullet drop, h, in cm 6.25 7.12 7.25 6.05 7.38 5.96 What is the most accurate muzzle velocity that the soldier can report to his sergeant? Number m/ s

Explanation / Answer

first find average value of h

h = (6.25 cm + 7.12 cm + 7.25 cm + 6.05 cm + 7.38 cm + 5.96 cm) / 6

h = 40.01 cm / 6

h = 6.668 cm

h = 0.06668 m

h = 1/2at^2

0.06668 m = 1/2 x 9.8 m/s^2 x t^2

t = 0.117 s

V = d / t

V = 112 m / 0.117s

V = 957.26 m/s

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