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Two ladybugs land on a vinyl record of radius R = 15 cm which is initially...

Two ladybugs land on a vinyl record of radius R = 15 cm which is initially at rest. The first ladybug lands halfway from the center of the disc, while the other lands on its edge as shown below. The disc then begins to rotate, speeding up under a constant angular acceleration of 0.50 rad/s². After 2.0 revolutions, the record reaches its design speed and stops accelerating, continuing to rotate with a constant angular speed.

a) What are the final angular speeds of the ladybugs?

b) How long does it take them to reach this speed?

c) What are their final linear speeds? (Are they different?)

d) What are their final radial accelerations? (Are they different?)

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