Determine a system of differential equations that describes the path of motion in Problem 23 if air resistance is a retarding force k (of magnitude k) acting tangent to the path of the projectile but opposite to its motion. See Figure 4.9.3. Solve the system. k is a multiple of velocity, say, βv.

Figure 4.9.3:

Data From Problem 23:

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.

Figure 4.9.2:

Transcribed Image Text:

k