(Solved): explain A projectile is fired with an initial velocity \( v_{0} \) at an angle \( \theta \) as shown ...

A projectile is fired with an initial velocity \( v_{0} \) at an angle \( \theta \) as shown in Figure \( 1 . \) i) Determine the time to reach the maximum height, the maximum height \( \left(y-y_{0}\right)_{\max } \) and the range \( (R) \) in terms of \( v_{0}, \theta \) and acceleration due to gravity \( g \). ii) Calculate the value of projection angle \( \theta \) when the horizontal range \( (R) \) is three times its maximum height.