Kinematics

Problem 1: Two conveyor belts are used to move aluminum castings (from one belt to the other). What is the maximum distance d that separates the drive wheels?

Problem 2: The motion of a rigid body is given by (t is in radians):

Find the position, velocity, and acceleration at t = 2.5 seconds.

Problem 3: The angular position (in radians) of a car rounding a curve of 700 ft radius is given by

After the car has traveled for two seconds, what is the speed of the car? What are its radial and tangential accelerations?