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**[SOLVED] Finding distance traveled of a dropped object**

## Homework Statement

Imagine that someone dropped a firecracker off the roof of a building and heard it explode exactly 10 s later. Ignoring air friction, taking g = 9.81 m/s2 and using 330 m/s as the speed of sound, calculate how far the cherry bomb had fallen at the very moment it blew up.

## Homework Equations

Kinematic equations, Straight-line motion equations

## The Attempt at a Solution

First I found total distance traveled by the firecracker using the 2nd kinematics where vi=0. The total distance found after the firecracker traveled for 10s was 490.5m. Since the speed of sound travels at 330m/s, I did 490.5m/(330m/s) to find the time it takes sound to travel 490.5m. The time found was 1.48636s. I subtracted this time from the total time which was 10s. This gave the time the firecracker traveled at the moment it blew up which was 8.51364s. I plugged in this time into the 2nd kinematics again where vi=om/s and found a distance of 355.288m but it was incorrect......any idea on where I went wrong?