2 dimensional projectile motion with rifle and bullet

AI Thread Summary
The problem involves calculating the time of flight and initial velocity of a bullet fired horizontally from a rifle aimed at a target 30 meters away, which hits 1.9 cm below the aim point. Using the equations of motion, the time of flight is calculated to be approximately 0.0623 seconds. The initial horizontal velocity is determined to be around 481.77 m/s. The calculations appear to be correct, as the time is small and the velocity is high, consistent with the scenario. Overall, the solution effectively applies the principles of two-dimensional projectile motion.
Painguy
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Homework Statement


A rifle is aimed horizontally at a target 30m away. The bullet hits the target 1.9cm below the aiming point. what are the bullets time of flight and the initial velocity?


Homework Equations


ax=0
g=9.8m/s^2
x0=0m
xf=30m
y0=0m
yf=.019m
v0x=?
vfx=0m/s
v0y=0
vfy=0
t=?

The Attempt at a Solution



Here is a little picture i drew to visualize everything

CygLmK9.png


.019=v0y*t +1/2*g*t^2
.019=4.9*t^2
sqrt(.019/4.9)=t
t=.0623s

30m=v0x*t +1/2*ax*t62
30m=v0x*.0623s
v0x=481.77m/s

Is this correct? It seems about right. I have a small time, and a high velocity. I just want to make sure that I'm right.
 
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