A car is traveling north on a city street. It starts from rest at a stoplight and accelerates uniformly at a rate of 1.0 m/s until it reaches the speed limit of 17 m/s. The car will travel at this velocity for 5 minutes and will then decelerate at a uniform rate of 1.4 m/s until it comes to a complete stop at the next stop light. How far apart are the two lights?

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Asked Mar 8, 2019
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A car is traveling north on a city street. It starts from rest at a stoplight and accelerates uniformly at a rate of 1.0 m/s until it reaches the speed limit of 17 m/s. The car will travel at this velocity for 5 minutes and will then decelerate at a uniform rate of 1.4 m/s until it comes to a complete stop at the next stop light. How far apart are the two lights?

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Expert Answer

Step 1

The distance travelled till the car reaches the speed limit is,

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Step 2

The distance travelled with constant velocity is,

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Step 3

The distance travelled in t...

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