Part II: Write a piecewise function, including quadratic and linear behaviors, that models a path that yellow bird takes to strike the pig with a finger tap using the positions given above. Your model must be continuous and differentiable at the point of finger tap.

State the assumptions you chose to create the model of the path with the finger tap. Explain your rationale and why these assumptions were feasible in the context of this problem.

Calculations for Part Il:

birds You are designing a part of the Angry Birds app. On the app, when the yellow bird is released from the slingshot at the point (0, 3), it travels in a parabolic path. If the screen is tapped at some time, t > 0, the yellow bird stops traveling along the parabola and continues along a linear path determined by the position when the screen is tapped. The object of the game is to hit the pig that stole the eggs, located at (10,0). AD Project Goals: Model the motion of yellow bird and provide algebraic and graphical evidence that your model works. Part