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Wormaldson

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I know this is the Precalculus Mathematics forum, but this is the kind of intro-level stuff that is taught in general high school mathematics classes before high school calculus, so I thought it would be better off here.

An object is moving in a straight line.

P is a point on the line.

Its acceleration,

When

How far is the object from P when

Honestly, I'm not really too sure to begin with this one. It's obvious enough that P is at the y-intercept, +2, and that the gradient of

Any help would be much appreciated.

## Homework Statement

An object is moving in a straight line.

P is a point on the line.

Its acceleration,

*a*ms^{–2}at a time*t*seconds after it leaves P, is given by*a*(*t*) = 2 – 6*t*When

*t*= 0, the object is at point P and has a velocity of 4 ms^{–1}.How far is the object from P when

*t*= 3?## Homework Equations

*a*(*t*) = 2 – 6*t*## The Attempt at a Solution

Honestly, I'm not really too sure to begin with this one. It's obvious enough that P is at the y-intercept, +2, and that the gradient of

*a*(*t*) = 2 – 6*t*is 6, but I don't know where to go from here.Any help would be much appreciated.

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