Name. Free Response Questions: Answer any four questions. Each questions is wort
ID: 1791797 • Letter: N
Question
Name. Free Response Questions: Answer any four questions. Each questions is worth 10 points. Place answers on separate sheets of paper. Circle the question numbers on this page to indicate the questions you have answered. If you change your mind about which five questions you want to answer, cross out the original number and circle another You shoot a rifle at a target&x; What angle with respect to the horizontal should you tilt the rifle so that you hit the target? 1. 100 m away. The bullet leaves the barrel of the rifle at 650 m/s.Explanation / Answer
given horizontal distacne from the target, R = 100 m
muzzle velocity, v = 650 m/s
let teh angle with the horizontal be phi
then
time of flight, t = 2*vsin(phi)/g
hence
R = 2*v^2sin(phi)cos(phi)/g = v^2*sin(2*phi)/g
100 = 650^2*sin(2*phi)/9.81
phi = 0.006517 deg or 89.9334 deg
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