If we ignore air resistance, then the range r(θ) of a baseball hit at an angle θ with respect to the x axis and with initial velocity v0 is given by r(θ) = 1 g (v0)2 sin (2θ) for 0 ≤ θ < π 2 where g is the acceleration due to gravity. (a) if v0 = 60 (meters per second) and g = 9.8 (meters per second per second), then r ' π 4 =