ENGR 351 Numerical Methods for Engineers
College of Engineering
Southern Illinois University Carbondale

Quiz

The time t(s) for a car to accelerate from 40 mph to a speed of 62.8 mph is given below for five values of v.

t (s) 0.00 0.5 1.0 1.5 2.0
v (mph) 40.0

(0.011 mi/s)

 42.3

(0.0118 mi/s)

 49.7

(0.0138 mi/s)

 54.9

(0.0153 mi/s)

 62.8

(0.0174 mi/s)
  1. Estimate the acceleration of a car when v is 49.7 mph using a centered finite difference approximation with O(h2) and D t =1 s
  2. Estimate the acceleration of a car when v is 49.7 mph using a centered finite difference approximation with O(h2) and D t = 0.5 s
  3. Estimate the acceleration of a car when v is 49.7 mph using Richardsons extrapolation and the estimates obtained in a and b.