(Solved): The roller coaster car travels down the helical path at constant speed such that the parametric eq ...

The roller coaster car travels down the helical path at constant speed such that the parametric equations that define its position are \( x=c \sin k t, y=c \cos k t \), \( z=h-b t \), where \( c, k, h \), and \( b \) are constants. Determine the magnitude of its velocity. Express your answer in terms of some or all of the variables \( c, k, h, b \), and \( t \). Part B Determine the magnitude of its acceleration. Express your answer in terms of some or all of the variables \( c, k, h, b \), and \( t \).