Finding distance using acceleration and time

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SUMMARY

The discussion focuses on calculating the total distance between two stop signs for a car that accelerates, coasts, and then decelerates. The car accelerates at 4.2 m/s² for 6.0 seconds, coasts for 2.3 seconds, and decelerates at 3.3 m/s² until it stops. Using the equations of motion, specifically s = ut + 0.5at², the participants derive distances for each segment, ultimately calculating a total distance of 229.77 meters between the stop signs.

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  • Understanding of kinematics and equations of motion (SUVAT equations)
  • Familiarity with acceleration and deceleration concepts
  • Ability to perform basic algebraic manipulations
  • Knowledge of units of measurement, specifically meters and seconds
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  • Study the SUVAT equations in detail to understand their applications
  • Learn how to analyze motion graphs, particularly velocity-time graphs
  • Explore real-world applications of kinematics in automotive engineering
  • Practice solving similar problems involving acceleration, coasting, and deceleration
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Students studying physics, automotive engineers, and anyone interested in understanding motion dynamics and kinematics calculations.

  • #31
41.58m?
 
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  • #32
nope, I have given you the equation, just plug the values in.

v^2 = 0^2
u^2 = 25.2^2
a = -3.3

hint: you are slowing down with less acceleration than you sped up, it should be a greater distance than part 1
 
  • #33
96.21?? :p
 
  • #34
WOOOOOO!

Yep, so what is your total distance?
 
  • #35
229.77 :D:D:D:D:D:D:D

OMG u are probably de best tutor i ever had! thaank u soo very much man, u might answer a lot of my questions in the future bcuz I am going to put up lots :D
 

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