Question

randy is sledding down a hill away from his sister, leslie, who is standing at the top of the hill. at first, randy moves at a constant speed down a nearly flat part of the hill. then, suddenly, the hill becomes much steeper, and randy almost immediately starts moving at a much faster speed. which graph shows randys position as he moves away from his sister?

Explanation:

Step1: Analyze constant - speed motion

When Randy moves at a constant speed on the nearly flat part of the hill, the position - time graph is a straight line. The slope of the position - time graph represents speed. A constant speed means a constant slope.

Step2: Analyze increased - speed motion

When the hill becomes steeper and Randy's speed increases, the slope of the position - time graph becomes steeper. This is because a steeper slope in a position - time graph indicates a higher speed.

Step3: Evaluate the graphs

Graph W shows a straight - line segment (constant speed) followed by a steeper straight - line segment (higher speed), which matches Randy's motion. Graph X shows a single constant - speed motion throughout. Graph Y shows an initial high - speed motion followed by a lower - speed motion. Graph Z shows a period of no motion followed by a sudden jump in position and then no motion again.

Answer:

W.