Question

How do you calculate this?

Answer 1

Tag jim_thompson

Answer 2

Add 5910 to the name lol

Answer 3

I'm not that great with these types of problems, but I notice that

rope is pulled up at a speed of 1.5 ft/s
bucket is leaking at a rate of 0.15 lb/s

dividing the two values gives 1.5/0.15 = 10 ft/lb

basically every 10 ft, the bucket loses a pound of water. That's how I'm interpreting it anyway

Answer 4

So at the very bottom, you start with 38 lbs of water

80/10 = 8 pounds of water will be lost meaning that you end up with 38-8 = 30 pounds of water once the bucket has reached the top

Answer 5

I would try to make a linear function g(x) to represent the weight (in pounds) of the bucket at any given distance x

x = distance from bottom of well to the bucket, ie, it's the height of the bucket in feet

Answer 6

and then integrate that function?