   Chapter 7.7, Problem 35E

Chapter
Section
Textbook Problem

# The graph of the acceleration a(t) of a car measured in ft / s 2 is shown. Use Simpson’s Rule to estimate the increase in the velocity of the car during the 6-second time interval. To determine

To evaluate: To estimate the increase in the velocity of the car during the 6-second time interval by using Simpson’s rule when acceleration-time graph is given.

Explanation

Formula used:

Simpson’s rule:

abfxdx=b-a3nfx0+4fx1+2fx2+4fx3..+4fxn-1)+fxn

b-an=h

Calculation:

 Time t (s) Accelerationft/sec2 x0=0 0 x1=1

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