Question

1. which statement correctly describes the objects speed, as well as what a graph of acceleration vs. time would look like? a. the object is not speeding up, and the acceleration vs. time graph is a horizontal line at some negative value. b. the object is not speeding up, and the acceleration vs. time graph is a horizontal line at some positive value. c. the object is speeding up, and the acceleration vs. time graph is a horizontal line at some negative value. d. the object is speeding up, and the acceleration vs. time graph is a horizontal line at some positive value.

Explanation:

Step1: Analyze velocity - time graph

The velocity - time graph shows a straight - line with a positive slope. The slope of a velocity - time graph represents acceleration. Since the slope is positive, the acceleration is positive. Also, as the velocity is increasing with time (from 20 m/s to 180 m/s over time), the object is speeding up.

Step2: Determine acceleration - time graph

For a motion with constant positive acceleration (because the velocity - time graph is a straight line, indicating constant acceleration), the acceleration - time graph is a horizontal line at a positive value.

Answer:

d. The object is speeding up, and the acceleration vs. time graph is a horizontal line at some positive value.