Use the result of Exercise 83 to determine the series for the path of a projectile launched from ground level at an angle of θ = 60°, with an
initial speed of v₀ = 64 feet per second and a drag factor of k = 1/16.

Data from in Exercise 83

A projectile fired from the ground follows the trajectory given by

where v₀ is the initial speed, θ is the angle of projection, g is the acceleration due to gravity, and k is the drag factor caused by air resistance. Using the power series representation

verify that the trajectory can be rewritten as