Question

use the graph to determine acceleration and velocity. which segments show acceleration? what is the velocity of segment b?

Explanation:

Part 1: Which segments show acceleration?

Acceleration is the rate of change of velocity. On a velocity - time graph, acceleration occurs when the velocity is changing, which is represented by a non - horizontal line (a line with a non - zero slope).

• Segment A: The velocity is increasing from 0 to 40 m/s over time, so there is a positive slope, meaning acceleration.
• Segment B: The velocity is constant (the line is horizontal), so the slope is zero and there is no acceleration.
• Segment C: The velocity is decreasing from 40 m/s to 0 m/s over time, so there is a negative slope, meaning acceleration (deceleration is a type of acceleration).

So the segments that show acceleration are A and C.

In segment B of the velocity - time graph, the velocity is constant. By looking at the graph, we can see that the velocity value for segment B is 40 m/s (since the line is at 40 m/s on the velocity axis for the time interval of segment B).

Answer:

A, C

Part 2: What is the velocity of segment B?