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Grade 12Mechanics

To stop a car, first u require a certain reaction time to begin braking;Then the car slows under constant braking deceleration. Suppose the total distance travelled by ur car during these two phases is 56.7m, when its initial speed is 80.5 kmph and 24.4m when its initial speed is 48.3kmph,

1)What is ur reaction time and

2)What is magnitude of deceleration?

Profile image of Chilukuri Sai Kartik
16 Years agoGrade 12
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1 Answer

Profile image of Badiuddin askIITians.ismu Expert
ApprovedApproved Tutor Answer16 Years ago

Dear Chilukuri

let reaction time is t' and braking decelaration =a

in responce time car will move with constant velosity.

so

 56.7 = 80.5*5/18  *t'  + (80.5*5/18 )2/2a

56.7    =22.36 t'   + 250/a........................1

similerly

24.4  =48.3*5/18  *t'  + (48.3*5/18 )2/2a

24.4  =13.42 t'   + 90/a   ......................2

solve equation 1 and second  that wil be your answer

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