The First Challenge Program for Physics 160:  2002, Spring
	vertical motion with air resistance
		This one has n=1, which was the way the problem was stated:
		FIRST several rows of Excel Worksheet						Full Integers Table					The Halves Table
Relevant Physical quantities				dt (in $E$8)	b (in $F$8)	n (in $G$8)		t	x	v	a		x(1/2)	v(1/2)	a(1/2)
physical gen. Equation				0.025	0.025	1		t1=t0+dt	x1=x0+vh*dt	v1=v0+ah*dt	a1		xh=x0+(v0*dt)/2	vh=v0+(a0*dt)/2	ah
next line of equations								t2=t1+dt	x2=x1+v3*dt	v2=v1+a3*dt	a2		x3=x1+(v1*dt)/2	v3=v1+(a1*dt)/2
initial conditions				x0 (in $E$11)	v0 (in $F$11)	g  (in $G$11)		0	0	20	-19.8
first line:	Excel equations			0	20	9.8		0.025	0	20	-19.8		0.25	19.7525	-19.554
next line:	Excel equations							0.05	0.4938125	19.51114921	-19.3171		0.25	19.7525	-19.554
								0.075	0.987625	19.02229843	-18.8462		0.737701865	19.26968517	-19.083
	a is -(g + b*v*(abs(v))^n)							0.1	1.469367129	18.54522295	-18.3981		1.22540373	18.78672098	-18.6235
		a1, a2, and ah are just versions that use appropriate v's						0.125	1.939035154	18.0796349	-17.9718		1.701182416	18.3152463	-18.1862
								0.15	2.396916311	17.62497974	-17.566		2.16503059	17.85498702	-17.77
								0.175	2.843290987	17.18072939	-17.1794		2.617228558	17.40540477	-17.3737
								0.2	3.278426106	16.74638682	-16.811		3.058050104	16.96598644	-16.9961