### Home > APCALC > Chapter 9 > Lesson 9.1.2 > Problem9-24

9-24.

Betsy accelerated quickly from a stop sign at the freeway entrance. A table of her velocity is shown below. Approximate how far she went in the first $10$ seconds using a trapezoidal approximation with subintervals of $dt = 2$ seconds.

Time (sec)

Vel. (ft/sec)

$0$

$0$

$2$

$19$

$4$

$36$

$6$

$52$

$8$

$70$

$10$

$84$

$\frac{1}{2}(2)(0+19)+\frac{1}{2}(2)(19+36)+\frac{1}{2}(2)(36+52)+...$