Racing cars driven by chris and kelly are side by side at the start of a race. the table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. use simpson's rule to estimate how much farther kelly travels than chris does during the first ten seconds.

Solution

distance travelled by Chris

/Delta t=/frac{1}{3600}hr.

X_{c} = [ (/frac{21+0}{2}) + (/frac{33+21}{2}) + (/frac{55+47}{2}) + (/frac{63+55}{2}) + (/frac{70+63}{2}) + (/frac{76+70}{2}) + (/frac{82+76}{2}) + (/frac{87+82}{2}) + (/frac{91+87}{2}) ]/times/frac{1}{3600}

=/frac{579.5}{3600}=0.161miles

Kelly,

/Delta t=/frac{1}{3600}hr.

X_{k}=[ (/frac{24+0}{2}) + (/frac{3+24}{2}) + (/frac{55+39}{2}) + (/frac{62+55}{2}) + (/frac{71+62}{2}) + (/frac{79+71}{2}) + (/frac{85+79}{2}) + (/frac{85+92}{2}) + (/frac{99+92}{2}) + (/frac{103+99}{2}) ]/times/frac{1}{3600}

=/frac{657.5}{3600}

/Delta X=X_{k}-X_{C}=0.021miles