6) Consider an object with mass m that is thrown with an initial speed Vo at an angle with respect to the ground. The gravitational acceleration is g and it can be assumed to be constant. Derive the differential equations, and initial conditions, That govern the horizontal and vertical motion of the object assuming (a) no air resistance and (b) air resistance is proportional to the speed of the object. 7) An object with mass m, specific heat Cp, surface area A, and initial temperature To is placed in a microwave oven with internal temperature T and heat transfer coefficient h. If the heat input into the object is qin, derive the differential equation, and initial condition, that governs the change of the temperature of this object with time.