Need and answer with steps

1. 6 + 3i

2. 10 +6i

3. 9-23i

Angular velocity = w = 16 revolutions per minute

w = 16 x 2π radians per minute = 32π radians per minute

Linear velocity = v = 240π inches per minute

Since the particle is moving in a circle along the fixed point(the center of the circle), the distance between the particle and the fixed point will be the radius(r) of the circle.

v = r w
r = v/w

So,

r = 240π/32π inches = 7.5 inches

Thus the distance from the fixed point to the particle is 7.5 inches. 

So, option B is the correct answer.