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Range, Height and Time

Range, Height and Time. All projectiles follow the same shape path. This path is a parabola. Acceleration is constant. Horizontal velocity is also constant. Velocity and position change. Projectile Path. Parameterized Curve.

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Range, Height and Time

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  1. Range, Height and Time

  2. All projectiles follow the same shape path. This path is a parabola. Acceleration is constant. Horizontal velocity is also constant. Velocity and position change. Projectile Path

  3. Parameterized Curve • The two equations of motion can be combined to give an equation for the trajectory. • We’ve set the origin to x0 = 0, y0 = 0.

  4. Height • The maximum height occurs when vy = 0. • This is identical to 1-dimensional motion. • From the height can the initial velocity be estimated?

  5. Range • The range of a projectile is the horizontal distance. • The simplest range to find is for a projectile returning to its initial height. • This is linked to the angle of the initial velocity.

  6. The time in flight can be determined by height alone. The “hang time” is just this time in flight. A 1 m jump will be in the air for about 0.9 s. The range doesn’t matter. Time

  7. Different Heights • Not all motion starts and stops at the same height. • The difference in height can be found by the full set of equations. • Let y be some non-zero value.

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