Question

1. a bee flies straight at someone and then back to its hive along the same path. assuming it takes no time for the bee to speed up or slow down, except at the moment it changes direction, how would the graph of position vs time look? consider the initial direction to be positive. a. the graph will look like a downward opening v shape b. the graph will look like an upward opening v shape. c. the graph will look like a downward opening parabola. d. the graph will look like an upward opening parabola.

Explanation:

Step1: Analyze the bee's motion

The bee moves forward (positive - direction) at a constant speed initially, so the position - time graph has a positive - slope straight - line segment. Then it changes direction and moves back (negative - direction) at a constant speed, resulting in a negative - slope straight - line segment. The point where it changes direction is the vertex of the graph.

Step2: Determine the shape of the graph

Since the speed is constant during each part of the motion (except at the turn - around point), the graph of position vs time will be composed of two straight - line segments meeting at a point, forming an upward - opening V shape.

Answer:

B. The graph will look like an upward opening V shape.