A nearsighted sheriff fires at a cattle rustler with his trusty six. shooter. Fo

Question

A nearsighted sheriff fires at a cattle rustler with his trusty six. shooter. Fortunately for the rustler, the bullet misses him and penetrates the town water tank. Suppose in a similar situation, the water hits the ground 4.15 m from the hole in the tank. If the hole is 2.05 m above the ground, how far above the hole is the water level?

Explanation / Answer

y= 1/2gt^2 --> t= square root of (2y/g)--> t=square root of [(2 x 2.05)/9.8] --> t=.65 --> Vx= X/t --> 4.15/0.65 --> Vx= 6.39 m/s v= square root of (2gh) --> v^2/2g --> h= (6.39)^2/ (2 x 9.8) --> h=2.08 m

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