Question

use the following graph of distance as a function of time to answer questions 12 - 14. distance as a function of time 12. what is happening in the time interval from 0 to 5 seconds? a) distance is decreasing b) distance is increasing c) velocity is decreasing d) velocity is increasing 13. during which time intervals is the velocity equal to zero? a) 5 - 10 seconds, 14 to 19 seconds b) 0 - 19 seconds c) 0 - 5 seconds, 10 to 14 seconds d) 19 - 26 seconds 14. what is happening in the time interval from 19 to 26 seconds? a) velocity is constant b) velocity is decreasing c) velocity is increasing d) velocity is zero

Explanation:

Step1: Analyze 0 - 5 seconds

On a distance - time graph, the slope represents velocity. From 0 - 5 seconds, the distance is going up as time increases. A positive - sloped line on a distance - time graph means distance is increasing.

Step2: Determine when velocity is zero

Velocity is zero when the distance does not change with time, i.e., the slope of the distance - time graph is zero. This occurs when the graph is a horizontal line. From the graph, the horizontal line intervals are 5 - 10 seconds and 14 - 19 seconds.

Step3: Analyze 19 - 26 seconds

From 19 - 26 seconds, the slope of the distance - time graph is positive and increasing. A positive slope means velocity is non - zero and an increasing slope means velocity is increasing.

Answer:

1. b) distance is increasing
2. a) 5 - 10 seconds, 14 to 19 seconds
3. c) velocity is increasing