A bowling ball is both sliding and spinning on a horizontal surface such that its rotational kinetic
energy equals its translational kinetic energy. What
is the ratio of the ball's center-of-mass speed to the
tangential speed of a point on its surface?

the first american roller coaster was the mauch chunk switchback railway, built in the mountains of pennsylvania in the mid-1800s. the track, originally built to send coal to a railway, was reconfigured as a "scenic tour."

true tan speed = ang vel x radius

the components of a vector are the parts of the vectors that are to each other.

b perpendicular