How far apart the stop signs are

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SUMMARY

The problem involves calculating the distance between two stop signs based on a car's motion. The car accelerates at 5.02 m/s² for 7.24 seconds, coasts for 2.22 seconds, and then decelerates at 4.51 m/s² until it reaches the next stop sign. Using kinematic equations, specifically the equations of motion, one can determine the total distance traveled during each phase of the car's journey to find the distance between the stop signs.

PREREQUISITES
  • Understanding of kinematic equations of motion
  • Basic knowledge of acceleration, velocity, and distance
  • Familiarity with the concepts of uniform acceleration and deceleration
  • Ability to perform calculations involving time, speed, and acceleration
NEXT STEPS
  • Review the kinematic equations for uniformly accelerated motion
  • Practice problems involving acceleration and deceleration scenarios
  • Learn how to calculate distance using initial velocity, acceleration, and time
  • Explore real-world applications of kinematics in automotive physics
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Students studying physics, particularly those focusing on kinematics, as well as educators looking for practical examples of motion equations in action.

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Homework Statement



A car starts from rest at a stop sign. It accelerates at 5.02 m/s2 for 7.24 seconds, coasts for 2.22 s, and then slows down at a rate of 4.51 m/s2 for the next stop sign. How far apart are the stop signs?


Homework Equations



Im not sure how to start this problem

The Attempt at a Solution

 
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mcryder16 said:

Homework Statement



A car starts from rest at a stop sign. It accelerates at 5.02 m/s2 for 7.24 seconds, coasts for 2.22 s, and then slows down at a rate of 4.51 m/s2 for the next stop sign. How far apart are the stop signs?

Homework Equations



Im not sure how to start this problem

The Attempt at a Solution


What kinematic equations do you know?

If you need formulas:
https://www.physicsforums.com/showpost.php?p=905663&postcount=2
 

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