Consider the range of a projectile as calculated in Equation 4.28 (i.e., ignoring the effe...

Consider the range of a projectile as calculated in Equation 4.28 (i.e., ignoring the effect of air drag). We have already shown that the maximum range occurs at a launch angle of θ = 45°. Consider the range of a projectile launched at a smaller angle α. Show that there is a corresponding launch angle β greater than 45° that yields the same value of the range and find a general relation between α and β