A car starts from rest at a stop sign. It accelerates at 2.0 m/s2 for 6.0 seconds, coasts for 2.0 seconds, and then slows down at a rate of 1.5 m/s2 before coming to rest at the next stop sign. How far apart are the two stop signs?

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Chapter1: Units, Trigonometry. And Vectors
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A car starts from rest at a stop sign. It accelerates at 2.0 m/s2
for 6.0 seconds, coasts for 2.0 seconds, and then slows down at a rate of 1.5 m/s2 before coming to rest at the next stop sign. How far apart are the two stop signs?

Expert Solution
Step 1

Write the given values with suitable variables.

a1=2 m/s2t1=6 sa2=-1.5 m/s2t2=2 s

Here, a1 denotes the acceleration, t1 denotes the time for a first travel, a2 denotes the deceleration, and t2 denotes the time for the second coast.

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