31. We adopt the positive direction choices used in the textbook so that equations such as Eq. 4-22 are directly applicable. The coordinate origin is at the end of the rifle (the initial point for the bullet as it begins projectile motion in the sense of § 4-5), and we let θ0be the firing angle. If the target is a distance daway, then its coordinates are x= d, y= 0. The projectile motion equations lead to d= v0tcos 0and 000122=−vtgtsin.
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