Instructions: A cart is initially stationary and subsequently travels in a northward direction. The provided graph illustrates the cart's velocity concerning the time variable, denoted as 't.' Refer to the graph to address any subsequent inquiries.

Question

What is the cart's acceleration at t = 8 seconds based on the graph?

(1 point)
Responses

10 m/s2
10 m/s 2

-20 m/s2
-20 m/s 2

0 m/s2
0 m/s 2

20 m/s2
20 m/s 2
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Answer 1

To determine the acceleration at t = 8 seconds from a velocity-time graph, we need to find the slope of the velocity line at that point. Acceleration is defined as the rate of change of velocity with respect to time.

If the graph shows a constant slope or a clear value at t = 8 seconds, you can identify the acceleration directly.

Since I cannot view the graph you mentioned, I can't provide the exact answer. However, you can calculate the acceleration by checking the slope of the line at t = 8 seconds:

• If the slope is positive and steep, the acceleration will be a positive value (potentially 10, 20, etc. m/s²).
• If the slope is negative, the acceleration will be a negative value (like -20 m/s²).
• If the line is horizontal (constant velocity), the acceleration is 0 m/s².

Please refer to the specific slope at t = 8 seconds in the graph to make your determination about the acceleration.