A stone is thrown with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point OOO, 1.0 m above the horizontal ground, at an angle α∘ \alpha^\circ\,α∘ to the horizontal. The stone reaches a maximum height of 6.0 m above the ground. The stone then strikes a target at point A A\,A on the ground (0 m height) at a horizontal distance of 10 m from OOO. The stone is modeled as a particle moving under gravity.
Find the value of UUU.
Find the size of angle α\alphaα.
State one limitation of the model that could affect the accuracy of your answers.