Final answer:
The percent error is 288.27%.
Step-by-step explanation:
To calculate the percent error for the estimated gravity associated with an object, we need to first find the actual value of gravitational acceleration. We can use the equation h = (1/2)gt^2, where h is the distance fallen, g is the acceleration due to gravity, and t is the time taken to fall. In this case, h = 94.26 cm (or 0.9426 m) and t = 0.492 s.
By rearranging the equation, we have g = 2h / t^2 = 2(0.9426) / (0.492)^2 = 38.045 m/s^2.
Now, we can calculate the percent error using the formula: Percent Error = |(Experimental Value - Accepted Value) / Accepted Value| x 100%.
The accepted value for acceleration due to gravity is 9.8 m/s^2. Therefore, the percent error = |(38.045 - 9.8) / 9.8| x 100% = 288.27%.