Applied Mathematics for Electrical Engineering (3130908)

Q3) (b) 

The velocity $\mathrm{v}$ of a particle at a distance s from a point on its linear path is given by the following data:

 

Time   ( $\mathrm{t}$ )	$0$	$5$	$10$	$15$	$20$	$25$	$30$
Speed ( $\mathrm{v}$ )	$30$	$24$	$19$	$16$	$13$	$11$	$10$

 

Estimate the time taken by the particle to travel the distance of $20 \mathrm{m}$ using Simpson’s $\frac{1}{ 3 }$^rd rule.