A graphing surprise, at time t = 0, a burrito is launched from level ground, with an initial speed of 16.0 m/s and launch angle 96. Imagine a position vector V continuously directed from the launching point to the burrito during the flight. Graph the magnitude r of the position vector for 

(a) θ₀ = 40.0^o and 

(b) θ₀ = 80.0^o. For θ₀ = 40.0^o, 

(c) When does r teach its maximum value? 

(d) What is that value, and how far 

(e) Horizontally and 

(f) Vertically is the burrito from the launch point? For θ₀ = 80.0^o, 

(g) When does r reach its maximum value? 

(h) What is that value, and how far 

(i) Horizontally and

(j) Vertically is the burrito from the launch point?