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A car traveling at 23m/s starts to decelerate steadily. It comes to a complete stop in 7 seconds. What is the acceleration?

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The car has an initial velocity
v_0 of 23 m/s and a final velocity
v of 0 m/s. Recall that for constant acceleration,


v=v_0+at

The car stops in 7 s, so the acceleration is


0\,(\mathrm m)/(\mathrm s)=23\,(\mathrm m)/(\mathrm s)+a(7\,\mathrm s)


\implies a\approx-3.29\,(\mathrm m)/(\mathrm s^2)

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