The disc with the slot shown in the figure rotates at a constant rate of 7 rad/s. A block moves outward along the slot with a speed of of 6t m/s. If the block starts from rest at the center, determine the magnitude of its velocity and acceleration when t = 2 s.

a. 84.85 m/s, 605.76 m/s2
b. 84.85 m/s, 615.80 m/s2
c. 85.90 m/s, 620.57 m/s2
d. 80.45 m/s, 607.78 m/s2

                         

Given data:

The magnitudes of velocity and acceleration of the block when t = 2 s are 84.85 m/s and 605 m/s2 respectively.