The problem is asking for the average speed of the object, given its speed-time graph. The graph shows a straight line, indicating constant acceleration over time.

To find the average speed:

For an object moving with constant acceleration, the average speed is given by:

$\text{Average Speed} = \frac{\text{Initial Speed} + \text{Final Speed}}{2}$

From the graph:

• Initial Speed (at $t = 0$): $0 \, \text{m/s}$
• Final Speed (at $t = 6 \, \text{s}$): $16 \, \text{m/s}$

Thus, the average speed is:

$\text{Average Speed} = \frac{0 \, \text{m/s} + 16 \, \text{m/s}}{2} = \frac{16}{2} = 8 \, \text{m/s}$

However, none of the answer choices exactly match this value. The closest answer is C: 8.5 m/s, which might be considered the best estimate based on how the graph is read or interpreted.

Final Answer:

C: 8.5 m/s

Would you like more details, or do you have any questions?

Here are some related questions:

1. How would you calculate the total distance traveled by the object?
2. What does the slope of a speed-time graph represent?
3. How can you determine acceleration from a speed-time graph?
4. What would the graph look like if the object were moving with constant speed instead of accelerating?
5. How can you find instantaneous speed at any given time from the graph?

Tip: The area under a speed-time graph represents the total distance traveled.