The best sketch would show a curve that starts steep and gets gradually less steep, a flat horizontal line segment, and then another curve which starts less steep and becomes gradually more steep.
The question presents a scenario where a bug climbs a tree and its motion varies over a 30-second interval. This falls under the physics concept of velocity (rate of change of distance) and acceleration (rate of change of velocity).
To illustrate such motion, a Distance-Time graph would be drawn. On this graph, a positive slope indicates moving forward, a slope of zero shows the bug at rest, and a steep slope shows quick movement, while a less steep slope displays slower movement.
The bug initially travels fast then slows down, which would be represented by a steep line that gradually becomes less steep. When the bug stops for 10 seconds, the line would be horizontal (indicating zero velocity). The bug then starts off slowly and then speeds up, which would be represented by a line that starts less steep and then becomes more steep.
Therefore, the best sketch would show a curve that starts steep and gets gradually less steep, a flat horizontal line segment, and then another curve which starts less steep and becomes gradually more steep.
Complete question:
A bug travels up a tree, from the ground, over a 30-second interval. It travels fast at first and then slows down. It stops for 10 seconds. then proceeds slowly, speeding up as it goes. Which sketch best illustrates the bug's distance (d) from the ground over the 30- Second interval?