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c Simulate the path of a ball thrown straight up (90). Experiment with values of ate graph style and Tstep 0.02. vo between 5 and 20 fls. Use the Anim Simulate the path of two balls thrown simultaneously at different speeds. To bet- ter distinguish the two balls, place them at different x-coordinates (for example, x and x -2). See part (c) of the figure. How does doubling vo change the maximum height the ball reaches?

Modeling 8. Simulating the Path of a Projectile The path of a projectile can be simulated on a graphing calculator. On the TI-83, use the Path graph style to graph the general paramet- ric equations for the path of a projectile, and watch as the circular cursor moves, simulating the motion of the projectile. Selecting the size of the Tstep determines the speed of the projectile. (a) Simulate the path of a projectile. Experiment with various values of. Use 10 10 ft/s and Tstep 0.02. Part (a) of the figure below shows one such path. (b) Simulate the path of two projectiles, fired simultaneously, one at 0 30 and the other at -60°. This can be done on the TI-83 using Simu l mode (simultaneous mode) Use 10 10 ft/s and T s te p = 0.02. See part (b) of the figure. Where do the projec- tiles land? Which lands first? (c) Simulate the path of a ball thrown straight up (θ 90°). Experiment with values of vo between 5 and 20 ft/s. Use the Animate graph style and Tstep 0.02. Simulate the path of two balls thrown simultaneously at different speeds. To bet- ter distinguish the two balls, place them at different x-coordinates (for example, x-1 andx -2). See part (c) of the figure. How does doubling vo change the maximum height the ball reaches?

engineering   Mechanical-Engineering   
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