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(from rest)

I need to find how far a particle travels in 9 seconds

The only given is acceleration but I can find the antiderivative for velocity and position.

a = 1 + 3 sqrt(t) mph/sec

v = t + 2t^(3/2) + vo mph

s = 1/2t^2 + 4/5*t^(5/2) + vo*t + so miles

9sec == .0025 hour

[tex]

\int_0 ^{0.0025} |v(t)|dt

[/tex]

When I take the integral of velocity to find distance traveled, I don't get the correct answer. (should be 344 feet) I would assume that I'm doing something wrong with the units but I can't figure it out.

I need to find how far a particle travels in 9 seconds

The only given is acceleration but I can find the antiderivative for velocity and position.

a = 1 + 3 sqrt(t) mph/sec

v = t + 2t^(3/2) + vo mph

s = 1/2t^2 + 4/5*t^(5/2) + vo*t + so miles

9sec == .0025 hour

[tex]

\int_0 ^{0.0025} |v(t)|dt

[/tex]

When I take the integral of velocity to find distance traveled, I don't get the correct answer. (should be 344 feet) I would assume that I'm doing something wrong with the units but I can't figure it out.

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