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## Homework Statement

A force varies with time according to the expression F=aΔt, where a = 2.0 N/s.

From this information, can you determine the work done on a particle that experienced this force over a displacement of 0.50 m?

## Homework Equations

W = F*d

V

_{f}= V

_{o}+ aΔt

F = ma

## The Attempt at a Solution

First I looked for Work.

-W = F*d

-F = 2Δt

-d = .5

-W = Δt

Then I asked, can we find Δt?

This was my first try:

-V

_{f}= V

_{o}+ aΔt

-V

_{f}/a = Δt

-a = F/m

We don't know m (inertia), so that should be one answer.

Second try:

initial force must equal zero at t = 0

-F

_{i}= 0

if we had F

_{f}, we could divide it by 2 and get Δt.

So I thought that would be a second answer.

These two together were incorrect. I would assume I made a mistake on one of these methods or there is something else I am missing.

Thanks for any assistance,

arturo