Final answer:
The acceleration for each trial is calculated using the formula u=2d/t², and the average acceleration is found by adding all accelerations together and dividing by the number of trials, resulting in an average acceleration of 3.724 m/s².
Step-by-step explanation:
To calculate the acceleration (u) for each trial using the formula u = 2d / t², you can substitute the distances (d) and times (t) into the equation. Here's how to calculate u for each trial:
Trial 1: u = 2 * 10 m / (2 s)² = 20 / 4 = 5 m/s²
Trial 2: u = 2 * 10 m / (2.5 s)² = 20 / 6.25 = 3.2 m/s²
Trial 3: u = 2 * 10 m / (3 s)² = 20 / 9 = 2.22 m/s²
Trial 4: u = 2 * 10 m / (2 s)² = 20 / 4 = 5 m/s²
Trial 5: u = 2 * 10 m / (2.5 s)² = 20 / 6.25 = 3.2 m/s²
To find the average acceleration (uavg), sum all the calculated accelerations and divide by the number of trials:
uavg = (5 + 3.2 + 2.22 + 5 + 3.2) m/s² / 5 = 18.62 m/s² / 5 = 3.724 m/s²
The average acceleration of the marble is 3.724 m/s².