Sharp Calculating Parabolic Motion, Calculation, EL-9900 Graphing Calculator, X = V 0 cos θ

EL-9900 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		Y = V0 • sin θ
					2
	• T		• T -	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
Deg	C/10		Yscl
Print "V0 (M S),θ ,T(S)	B/10		Xscl
Print "Input V0	0	Xmin
Input V	0	Ymin

Calculation and display from released angle 45ß

	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.

2 V sin 45/9.8				A	B	Xmax
V2/9.8			B		C	Ymax
V2/19.6			C		For D, 0, T, T/100
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					NEXT
Print "TMAX=					Wait
Print A					Label TX
Wait					Print "Input TX
Label THETA					Input Z
Input θ					If Z≤ 0 Goto THETA
If θ	≤	0 Goto THETA			If Z> T Goto THETA
If θ	>	90 Goto THETA			V cos θ		Z	X
V2	(sin θ )2/19.6			H	V	sin θ	Z-(0.5 9.8 Z2)		Y
V2	sin (2θ )/9.8			L	Print "X=
2	V	sin θ /9.8		T	Print X
Print "H=					Print "Y=
Print H					Print Y
Print "L=					Wait
Print L					Line(0,Y,X,Y)
Print "T=					Line(X,0,X,Y)
Print T					Wait
Wait					Goto TX

Display of graph

Returns to entry of time.

25