Question

A battleship has a gun that fires shells with muzzle velocity u, and the gunner wants to hit an enemy ship at range L. The gun is to be fired at some angle θ above the horizontal. Find the two possible values of θ that are possible under normal conditions. Under what conditions are there one solution or no solutions at all? To what extent is the form of the solution determined by units? Instruction 1. Draw a diagram, define a coordinate system and define variables. 2. Write down kinematic equations (for x and y directions) for motion with a constant acceleration. 3. Using the kinematic equations, calculate the angle, θ. ( you may have to use a trigonometry identity.) 4. Answer the questions in the problem based on your calculation. (Hint: there are two values)

Answer 1