Set 2: 1D kinematics. 

Uniformly increasing velocity. 

>	restart; v1:=1.8*m/s; t1:=0; v2:=5.6*m/s; t2:=8*s; a:=(v2-v1)/(t2-t1);

 

 

 

 

 

	(1)

 

>	t0:=1.0*s; t:=7.1*s; dt:=(t-t0); v0:=v1+a*(t0-t1); x:=v0*dt+a*dt**2/2;

 

 

 

 

 

	(2)

 

Acceleration (small plane); 

>	restart; t:=21.0*s; v:=51.8*m/s; a:=v/t; g:=9.81*m/s^2: ag:=a/g; x:=a*t**2/2;

 

 

 

 

 

	(3)

 

Free fall: t. 

>	v0:=27.0*m/s; t:=2*v0/g;

 

 

	(4)

 

Greatest height xmax: 

>	tmax:=v0/g; xmax=v0*tmax-g*tmax**2/2;

 

 

	(5)

 

Time at first half-velocity: 

>	t:=v0/(2*g);

 

(6)

 

>