Question

the graph shows the motion of a car. which segments show that the car is accelerating? select three options. velocity vs time graph with velocity (m/s) on y - axis, time (s) on x - axis, labeled segments a, b, c, d, e options: a, b, c, d, e

Explanation:

Step1: Recall the definition of acceleration

Acceleration is the rate of change of velocity. On a velocity - time graph, acceleration is represented by the slope of the graph. A non - zero slope indicates acceleration.

Step2: Analyze each segment

• Segment A: The slope is positive (velocity is increasing from \(0\) to \(30\) m/s over time). So, there is acceleration.
• Segment B: The slope is \(0\) (velocity is constant at \(30\) m/s). So, there is no acceleration.
• Segment C: The slope is negative (velocity is decreasing). But acceleration is still present as the velocity is changing.
• Segment D: The slope is \(0\) (velocity is constant at \(10\) m/s). So, there is no acceleration.
• Segment E: The slope is negative (velocity is decreasing). But acceleration is still present as the velocity is changing.

Answer:

A. Option A, C. Option C, E. Option E