An object is fired at an angle to the horizontal with an initial speed of v 0 feet per second. Ignoring air resistance, the

An object is fired at an angle θ to the horizontal with an initial speed of v₀ feet per second. Ignoring air resistance, the length of the projectile’s path is given by

where 0

(a) Find the length of the object’s path for angles θ = π/6, π/4 and π/3 if the initial velocity is 128 feet per second.

(b) Using a graphing utility, determine the angle required for the object to have a path length of 550 feet if the initial velocity is 128 feet per second.

(c) What angle will result in the longest path? How does this angle compare to the angle that results in the longest range?

L(0) = [sin0 (cos0) (In[tan( 2)])] 20 32 4