Is this equation a function of x? Justify your answer.

Optimal foraging rules say foraging behavior should:

A string is wound around a piece of hollow cylindrical pipe. The free end of the string is held while the pipe is released, allowing the pipe to fall while unwinding the string, much like a yoyo. The string unwinds without slipping. What would be the translational acceleration of the pipe?

Be sure you have shown your ID, your calculator, your scratch paper, and your workspace to the camera. A list of equations and conversion factors can be found here: Equations for Midterm Exam 2-1.pdf 

A baseball (solid sphere) is rolling without slipping along the level ground with a translational speed of 10.0 m/s. It then starts rolling without slipping up a hill, stopping after having traveled 25.0 m along the surface of the hill. What angle does the hill make with the horizontal? 

Be sure you have shown your ID, your calculator, your scratch paper, and your workspace to the camera. A list of equations and conversion factors can be found here: Equations for Midterm Exam 2-1.pdf 

Which one of the following is not a major fossil fuel?

Of the energy topics we’ve covered this semester, which one does not impact our water supply

A merry-go-round with a mass of 150 kg is coasting at 3.0 rad/s. Think of the merry-go-round as a solid cylinder with a radius is 3.0 m. A 45kg kid is riding the merry-go-round, standing on its rim. Just after the kid steps radially off the merry-go-round, what is the angular velocity?

A turntable rotating at 78.0 rpm slows to 33.33 rpm in 5.0 revolutions. If the acceleration is constant, the time it takes for the angular speed to change is