If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with respect to the x axis and with an initial velocity v0, is given by r(θ)= v02 g sin(2θ) for 0 ≤ θ ≤ π 2 where g is the acceleration due to gravity (9.8 meters per second per second). for what value of θ is the maximum range attained? (note that the answer is numerical, not symbolic.)