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## Homework Statement

A 100 lb bag of sand is lifted for 2 seconds at the rate of 4 feet per second . find the work done in lifting the bag if the sand leaks out at the rate of 1.5 lbs per second.

## Homework Equations

## The Attempt at a Solution

Here's my attempt at it:

work = force x distance

force = 100-1.5t

distance = 4t

work = 400t-6t

^{2}

Now I integrate for t=2 and t=0

∫(400t-6t

^{2})dt

=200t

^{2}-2t

^{3}for t=2 and t=0

=800-16=784ft-lb

Any mistakes?