Question

Linda is driving a racecar. The table below gives the distance D (t) (in meters) she has driven at a few times t (in seconds) after she starts. Time t (seconds) Distance D (t) (meters) 2 71.2 166.4 172.8 239.6 10 (a) Find the average rate of change for the distance driven from 0 seconds to 2 seconds. Imeters per second (b) Find the average rate of change for the distance driven from 4 seconds to 6 seconds. meters per second

Answer 1

(a) Average rate of change (in metres per second) for the distance driven from 0 seconds to 2 seconds is,

$\large \boldsymbol{\frac{71.2 - 0}{2 - 0} = \frac{71.2}{2} = 35.6}$

(b) Average rate of change (in metres per second) for the distance driven from 4 seconds to 6 seconds is,

172.8-166.4 6-4 = = 3.2