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Projectile Motion: Speed

Projectile Motion: Speed. Scott Starks, PhD, PE Dept. of Electrical & Computer Engineering UTEP. Example: Artillery Shell. 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. y 0.

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Projectile Motion: Speed

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

  2. Example: Artillery Shell • At time t=0, an artillery shell is launched with a vertical speed of v0 from atop a fortress that is situated atop a mountain of height y0. y0 Projectile Motion

  3. Equation of Motion (Vertical) • y is the height (ft) of the projectile above the ground at time t (s) • g is the acceleration constant (32 ft/s2) • v0 is the muzzle (initial) velocity (ft/s) • y0 is the height of the cannon above ground (ft) • Note: We are only considering vertical height in this example. Projectile Motion

  4. Initial Conditions • Assume the cannon is located 672 ft above ground level. • Assume the muzzle velocity is 656 ft/s. Projectile Motion

  5. Incorporate Initial Conditions in Equation of Motion Projectile Motion

  6. Height of the Projectile (y) t (s) Table Plot Projectile Motion

  7. Vertical Velocity (Speed) of the Projectile • The vertical speed (v) of the projectile measured in (ft/s) at time (t) is described by the equation Projectile Motion

  8. Vertical Velocity (Speed) of the Projectile t (s) Table Plot Projectile Motion

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