Question

when the beam strikes the point q, its speed along the shore is about 13558 m/min. (do not round until the final answer. then round to the nearest integer as needed.) how does the speed of the beam along the shore vary with the distance between p and q? a. if q were closer to p, then the speed of the beam along the shore when it strikes q would be less. b. the speed of the beam along the shore is a constant because it depends only on the rate at which the light revolves. c. the speed of the beam along the shore is a constant because it depends only on the distance from the lighthouse to p. d. if q were closer to p, then the speed of the beam along the shore when it strikes q would be greater.

Explanation:

Step1: Analyze speed - distance relationship

The speed of the beam along the shore depends on the rate of rotation of the lighthouse and the distance from the lighthouse to the point on the shore. The farther the point from the lighthouse, the faster the beam moves along the shore for a given rate of rotation. When Q is closer to P (i.e., closer to the lighthouse), the speed of the beam along the shore when it strikes Q would be less.

Answer:

A. If Q were closer to P, then the speed of the beam along the shore when it strikes Q would be less