At Studebaker's new Super Auto Showcase, an inexperienced salesperson drives a pickup truck toward the edge of the giant carousel while the carousel is still rotating. Look out!

What is known:

• The carousel has a 15 meter radius and is spinning with a constant angular velocity, ω_o, of 0.05 rad/s.
  
• The center of mass of the truck is initially 4 meters from the center of the carousel.
• The truck travels in a radial path across the disk with a velocity of v_r(t) = 0.0889t m/s.

Problem Diagram

What are the velocity and acceleration of the truck when its center of mass is 14 meters from the center of the carousel?

• The motion of the truck can easily be described using polar (radial and transverse) coordinates.
  
• The theory section will develop equations for velocity and acceleration in polar coordinates that make it easier to determine the velocity and acceleration of the truck