Air Impact Deep
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Air Impact Deep
Math help please, confused and need to know how to solve?
1. You drop a rock into a deep well. You can't see the rock's impact at the bottom, but you hear it after 6 seconds. The depth of the well is_______??___????_________ feet. Ignore air resistance. The time that passes after you drop the rock has two components: the time it takes the rock to reach the bottom of the well, and the time that it takes the sound of the impact to travel back to you. Assume the speed of sound is 1100 feet per second.
Please help me with this
This is an interesting problem. You need to know the acceleration due to gravity. 32.2 ft/s/s about.
let t = time for sound to travel from the bottom of the well to your ear. You also need to know the equation for distance traveled during the time the rock is dropped. That is d = 1/2*32.2*(6-t)^2 d also equals t*1100 We can solve for t and from that calculate d.
1/2*32.2*(6-t)=t*1100
solving for t 16.1(6-t) =t*1100
96.6-16.1t=1100t
96.6 =1116.1t
t = 0.08655
d= 0.08655 * 1100 = 95.21 ft.
Jaws meets Deep Impact