Texas Instruments TI-84 PLUS SILV Guidebook - Page 98

Chapter 4: Parametric Graphing Getting Started: Path of a Ball Getting Started is a fast-paced introduction. Read the chapter for details. Graph the parametric equation that describes the path of a ball hit at an initial speed of 30 meters per second, at an initial angle of 25 degrees with the horizontal from ground level. How far does the ball travel? When does it hit the ground? How high does it go? Ignore all forces except gravity. For initial velocity vo and angle q, the position of the ball as a function of time has horizontal and vertical components. Horizontal: X1(t)=tv0cos(q) Vertical: Y1(t)=tv0sin(q)N 1-2 gt2 The vertical and horizontal vectors of the ball's motion also will be graphed. Vertical vector: Horizontal vector: Gravity constant: X2(t)=0 X3(t)=X1(t) g=9.8 m/sec2 Y2(t)=Y1(t) Y3(t)=0 1. Press z. Press to select Par mode. Press to select Simul for simultaneous graphing of all three parametric equations in this example. 2. Press to go to the Format Graph screen. Press to select AxesOff, which turns off the axes. Chapter 4: Parametric Graphing 91