Sharp EL-9400 manual = V 0 cos θ T = V 0 sin θ T, Calculation and display from released angle 45˚

EL-9600/9400 Graphing Calculator

Calculating Parabolic Motion

Display on a graph the altitude change and the horizontal distance over a period of time when an object is thrown at initial velocity V0 and angle θ, and find the horizontal distance and altitude after t seconds. Specify the angle in Deg.

Calculation		1	y
X = V0 • cos θ • T	Y = V0 • sin θ • T -
			2
		2 gT
Initial velocity	V0 [m/s]
Angle	θ [˚ ]		V0
Gravitational acceleration	g = 9.8 [m/s2]
Time	T [s]		θ	x

FLOWCHART

Start

Entry of initial velocity Enter velocity when thrown.

PROGRAMME LIST(REAL MODE)

Title : PARABOLA
Print "V0 (M/S),θ,T(S)	0	Xmin
Print "Input V0	0	Ymin
Input V	B	Xmax
2 V sin 45/9.8 A	C	Ymax

Calculation and display from released angle 45˚

	THETA
	Entry of released angle
Y	θ≤ 0 or θ> 90
	N
	Calculation and
	display of values
	for entered angle
	Range setting
LOOP1
	Calculation and
	plotting of graph
	D = (D + T/100)
Y	D ≤ T
	N	TX
	Entry of time
	Z ≤ 0 or Z > T	Y
	N

Calculation and

display of distance and altitude after time Z.

Highest altitude, throwing distance (horizontal distance), and time (duration of flight) in case of released angle 45˚ calculated and displayed.

Angle for throwing entered.

Entered angle less than or equal to 0˚ or larger than 90˚?

Highest altitude, throwing distance (horizontal distance), and time (duration of flight) for entered angle calculated and displayed.

Range of graph set based on values for released angle 45˚.

Graph (parabola) calculated and plotted.

Elapsed time counted.

Calculation and plotting repeated until D (time elapsed) reaches T (duration of flight).

Entered time less than or equal to 0 or more than T?

Altitude and distance after entered time elapses from throwing calculated and displayed.

V2/9.8		B		0	D
V2/19.6		C		Label LOOP1
Print "HMAX=				V cos θ D		X
Print C				V	sin θ D-(0.5		9.8	D2)	Y
Print "LMAX=				Pnt0N(X,Y)
Print B				D+(T/100)		D
Print "TMAX=				If D≤T Goto LOOP1
Print A				Wait
Wait				Label TX
Label THETA				Print "Input TX
Input θ				Input Z
If θ ≤ 0 Goto THETA				If Z≤0 Goto THETA
If θ > 90 Goto THETA				If Z>T Goto THETA
V2	(sin θ)2/19.6		H	V	cos θ Z	X
V2	sin (2θ)/9.8		L	V	sin θ Z-(0.5		9.8	Z2)	Y
2	V sin θ/9.8		T	Print "X=
Print "H=				Print X
Print H				Print "Y=
Print "L=				Print Y
Print L				Wait
Print "T=				Line(0,Y,X,Y)
Print T				Line(X,0,X,Y)
Wait				Wait
C/10		Yscl		Goto TX
B/10		Xscl		0000

Display of graph

Returns to entry of time.

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