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(Solved):   Experiments indicate the braking distance, \( d \), before a car comes to rest from a spee ...



Experiments indicate the braking distance, \( d \), before a car comes to rest from a speed, \( v \) (Table 2).
Table 2: Brak

 

Experiments indicate the braking distance, \( d \), before a car comes to rest from a speed, \( v \) (Table 2). Table 2: Braking distances for various speeds It is believed that the relation between braking distance and speed can be modelled by a quadratic function, \( d=a+b v+c v^{2} \). (i) Use the given data to obtain 3 equations. What are the unknowns?


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Given: d=a+bv+cv2 For d = 14, we have 14=a+20b+400c For d = 36
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