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Every morning at seven o\'clock There\'s twenty terriers drilling on the rock. T

ID: 1735554 • Letter: E

Question

Every morning at seven o'clock
There's twenty terriers drilling on the rock.
The boss comes around and he says, "Keep still
And bear down heavy on the cast-iron drill
And drill, ye terriers, drill." And drill, ye terriers, drill.
It's work all day for sugar in your tea
Down beyond the railway. And drill, ye terriers, drill.

The foreman's name was John McAnn.
By God, he was a blamed mean man.
One day a premature blast went off
And a mile in the air went big Jim Goff. And drill...
Then when next payday came around
Jim Goff a dollar short was found.
When he asked what for, came this reply:
"You were docked for time you were up in the sky."
And drill...

-- American folksong

If Goff actually went 1.00 mile in theair and was docked exactly $0.80, whatwas Goff's hourly wage?

i dont understand how i am supposed to find this answer withoutknowing how long goff was in the air

Explanation / Answer

this is a one dimensional kinematics problem. first,     1.05 mile =  1689.45 meters So he started at the ground, rose to this height, then cameback down. The time for going up was the same as the time for goingdown because the motion is symmetric. So we will just find the timeto go down:    final position = initialposition + init velocity * time + (1/2) at2             0         =  1689.45    +      0           + (1/2) * -9.8 * t2         4.9t2 = 1689.45           t=   18.57 seconds So the total time he was in the air was   18.57 +18.57 =   37.14 seconds Convert this to hours...      37.14sec =    0.0103158 hours so his hourly rate was           $0.80 / 0.0103158 hour =    $77.55 Wow! that's a lot!         4.9t2 = 1689.45           t=   18.57 seconds So the total time he was in the air was   18.57 +18.57 =   37.14 seconds Convert this to hours...      37.14sec =    0.0103158 hours so his hourly rate was           $0.80 / 0.0103158 hour =    $77.55 Wow! that's a lot!
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