# Solved: Projectile Motion A projectile shot from a gun has

## Problem 4.1.407 Chapter 4.9

Differential Equations with Boundary-Value Problems, | 8th Edition

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Differential Equations with Boundary-Value Problems, | 8th Edition

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Problem 4.1.407

Projectile Motion A projectile shot from a gun has weight w mg and velocity v tangent to its path of motion. Ignoring air resistance and all other forces acting on the projectile except its weight, determine a system of differential equations that describes its path of motion. See Figure 4.9.2. Solve the system. [Hint: Use Newtons second law of motion in the x and y directions.] dy dt 3x 2y dy dt 4x y dx dt y 1 dx dt 5x y FIGURE 4.9.2 Path of projectile in y

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