Final answer:
To find the average acceleration after the rope starts stretching and slowing you down, calculate the change in velocity and the time it takes to reach the bottom. The change in velocity is 0 m/s, and the time is approximately 1.97 seconds. Therefore, the average acceleration is 0 m/s².
Step-by-step explanation:
To find the average acceleration after the rope starts stretching and slowing you down, we need to calculate the change in velocity and the time it takes to reach the bottom. The change in velocity is the difference between your initial velocity and final velocity. Let's assume your initial velocity is 0 m/s as you jump from the bridge, and your final velocity is also 0 m/s when you reach the bottom. So, the change in velocity is 0 m/s - 0 m/s = 0 m/s. The time it takes to reach the bottom can be calculated using the formula:
t = \sqrt{2h/g}
Where t is the time, h is the height, and g is the acceleration due to gravity. Plugging in the values, we have:
t = \sqrt{2 * 15 / 9.8} ≈ 1.97 seconds
Finally, we can find the average acceleration using the formula:
a = \frac{Δv}{t}
Since Δv is 0 m/s and t is 1.97 seconds, the average acceleration is 0 m/s / 1.97 s ≈ 0 m/s².