Question

1. which of the following segments shows acceleration?

options: a, b, c, d

Explanation:

Step1: Recall Acceleration in Distance - Time Graph

In a distance - time graph, the slope of the graph represents speed. Acceleration means a change in speed (either increasing or decreasing speed). For a distance - time graph, if the slope of the graph is changing (i.e., the graph is a curve, not a straight line) and the speed is increasing, it represents acceleration. A straight - line segment has a constant slope, meaning constant speed (no acceleration). A horizontal line has a slope of 0 (speed = 0, no acceleration). A line with a negative slope represents deceleration (negative acceleration, speed decreasing).

Step2: Analyze Each Segment

• Segment A: It is a straight line, so the slope (speed) is constant. No acceleration.
• Segment B: It is a curve that is getting steeper. The slope (speed) is increasing. So, this segment shows acceleration.
• Segment C: It is a straight line, so the slope (speed) is constant. No acceleration.
• Segment D: It is a horizontal line, slope = 0 (speed = 0). No acceleration.
• Segment E: It is a straight line with a negative slope, which represents deceleration (speed decreasing), not acceleration.

Answer:

B