Answer:
8 m/s²
Explanation:
Acceleration is the derivative of velocity with respect to time. On a speed vs. time graph, the acceleration is the slope of the tangent line.
Use a ruler or straight edge to draw a line that is tangent to the curve at time of 1 s. This line should only touch the curve at this point.
Next, identify two points on the tangent line. In this case, two points are approximately (0, 10) and (2.5, 30).
Finally, calculate the slope between these points.
m = (y₂ − y₁) / (x₂ − x₁)
m = (30 − 10) / (2.5 − 0)
m = 8
Therefore, the acceleration at time of 1 s is approximately 8 m/s².
