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Scott Starks, PhD, PE Dept. of Electrical & Computer Engineering UTEP 1Projectile Motion.

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Presentation on theme: "Scott Starks, PhD, PE Dept. of Electrical & Computer Engineering UTEP 1Projectile Motion."— Presentation transcript:

1 Scott Starks, PhD, PE Dept. of Electrical & Computer Engineering UTEP 1Projectile Motion

2  At time t=0, an artillery shell is launched with a vertical speed of v 0 from atop a fortress that is situated atop a mountain of height y 0. Projectile Motion2 y0y0

3  y is the height (ft) of the projectile above the ground at time t (s)  g is the acceleration constant (32 ft/s 2 )  v 0 is the muzzle (initial) velocity (ft/s)  y 0 is the height of the cannon above ground (ft)  Note: We are only considering vertical height in this example. Projectile Motion3

4  Assume the cannon is located 672 ft above ground level.  Assume the muzzle velocity is 656 ft/s. Projectile Motion4

5 5

6 TablePlot Projectile Motion6 t (s)y (ft) 0672 11312 21920 32496 43040 53552 64032 74480 84896 95280 105632 115952 126240 136496 146720 156912 167072 177200 187296 197360 207392 217392 227360 237296 247200 257072 266912 276720 286496 296240 305952 315632 325280 334896 344480 354032 363552 373040 382496 391920 401312 41672 420 t (s)

7  The vertical speed ( v ) of the projectile measured in (ft/s) at time ( t ) is described by the equation Projectile Motion7

8 TablePlot Projectile Motion8 t (s)v (ft/s) 0656 1624 2592 3560 4528 5496 6464 7432 8400 9368 10336 11304 12272 13240 14208 15176 16144 17112 1880 1948 2016 21-16 22-48 23-80 24-112 25-144 26-176 27-208 28-240 29-272 30-304 31-336 32-368 33-400 34-432 35-464 36-496 37-528 38-560 39-592 40-624 41-656 42-688 t (s)


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