Problem Statement A person throws a dart 30° above horizontal with initial speed 16 m/s. The dart hits a tree 7.0 m away. a) How long was the dart in the air? b) How high is the dart in the tree relative to the dart’s initial thrown height? Visual Representation • Draw a sketch showing important points in the motion Establish a coordinate system and define symbols • Draw a motion diagram • List knowns and desired unknowns . Sketch Knowns Motion Diagram Unknowns . Mathematical Representation Identify and write down the relevant equation(s), using the symbols defined in your sketch Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value Check units and assess if your answer is reasonable .