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Chapter 4: Q 2 (page 388)

What was your average distance from the stop sign

from the time that you first saw it to the time that you

came to a stop?

Short Answer

Expert verified

21.67 feet

Step by step solution

01

Given

The function, gives the distance from the stop sign (in feet) t seconds after stepping on the brakes.

s(t) = 3t3 - 12t2 - 9t + 54

02

The distance function's average value is provided by,

=1b-a鈭�abs(t)dt=14.6鈭�04.6s(t)dt=14.6鈭�04.63t3-12t2-9t+54dt=14.63t44-12t33-9t22+54t04.6=14.6[335.8-389.3-95.2+248.4]=14.6[99.7]=21.67

As a result, the average distance is 21.67 feet.

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