Question

15 opción múltiple 1 punto what would the units be for the slope of the line on this graph?
position (meters)
0 1 2 3 4 5 6
time (seconds)
options: m/s², m, m/s, s

Explanation:

Step1: Recall slope formula for position - time graph

The slope of a line on a position - time graph is given by the formula \( \text{slope}=\frac{\text{change in position}}{\text{change in time}} \).

Step2: Identify units of position and time

The unit of position (y - axis) is meters (m) and the unit of time (x - axis) is seconds (s).

Step3: Determine units of slope

When we take the ratio of change in position (in meters) to change in time (in seconds), the units of the slope will be \( \frac{\text{meters}}{\text{seconds}} \) or \( \text{m/s} \).

Answer:

C. m/s (assuming the options are labeled as A. \( \text{m/s}^2 \), B. \( \text{m} \), C. \( \text{m/s} \), D. \( \text{s} \))