Finding acceleration of a car when it is braking

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SUMMARY

The discussion centers on calculating the acceleration of a 1200kg car that decelerates from 20 meters per second to a stop over a distance of 50 meters. The correct acceleration during braking is determined using the SUVAT equations, specifically the formula a = (v^2 - u^2) / (2s), leading to an acceleration of -4 m/s². The force exerted by the braking system can subsequently be calculated using F = ma, yielding a force of -4800 N.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the SUVAT equations
  • Basic algebra for rearranging formulas
  • Knowledge of force calculation using F = ma
NEXT STEPS
  • Study the SUVAT equations in detail
  • Learn how to derive acceleration from distance and velocity
  • Explore real-world applications of Newton's laws in automotive braking systems
  • Practice problems involving force calculations in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and motion, as well as educators seeking to clarify concepts related to acceleration and force in braking scenarios.

Amelina Yoo
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Homework Statement


A 1200kg car moving at 20 metres per second stops in a distance of 50m when the brakes are applied.
a) What is the acceleration of the car when it is braking?
b) Find the force applied by the car's braking system.

Homework Equations


For a) I used the acceleration formula: a=(velocity - initial velocity)/t
Time formula from rearranging: t=s/v

The Attempt at a Solution


a)
t=s/v
t=50/20=2.5s

velocity=50/2.5=20 metres per second

a=(20-0)/2.5 = 8ms(^-2)[/B]
I do not know how to find the acceleration when BRAKING, and the answer claims that it is 4ms(^-2.)

As for b, I believe that I am unable to attempt it seeing as I am unable to find the acceleration.

Please explain how to do it! I have read through the chapter of my textbook, and am unable to understand. thank you very much!
 
Last edited:
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Amelina Yoo said:

Homework Statement


A 1200kg car moving at 20 metres per second stops in a distance of 50m when the brakes are applied.
a) What is the acceleration of the car when it is braking?
b) Find the force applied by the car's braking system.

Homework Equations


For a) I used the acceleration formula: a=(velocity - initial velocity)/t
Time formula from rearranging: t=s/v

The Attempt at a Solution


a)
t=s/v
t=50/20=2n5s

velocity=50/2.5=20 metres per second

a=(20-0)/2.5 = 8ms(^-2)[/B]
I do not know how to find the acceleration when BRAKING, and the answer claims that it is 4ms(^-2.)

As for b, I believe that I am unable to attempt it seeing as I am unable to find the acceleration.

Please explain how to do it! I have read through the chapter of my textbook, and am unable to understand. thank you very much!

Braking to a stop is just the reverse of accelerating to speed from a standing start.

Your equation t = s/v works only for constant speed. I have no idea what "2n5s" means.

There is a SUVAT equation which relates acceleration, distance, and initial and final velocities which would be rather useful here.
 

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