Projectile Motion (U3) - Physics

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6 Terms

1
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Formulas for impact velocity

Solving for v2 using time and distance, acceleration in y-axis is g, vertical velocity will change. 

<p>Solving for v2 using time and distance, acceleration in y-axis is g, vertical velocity will change.&nbsp;</p>
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<p>2v1sin(theta)/g</p>

2v1sin(theta)/g

If the range (dx) is unknown, use this formula for hang time.

3
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Find formula for hang time

V1x is the horizontal component of V1 found with cosine. Displacement in the x direction / v1cos(theta) = hang time

<p>V1x is the horizontal component of V1 found with cosine. Displacement in the x direction / v1cos(theta) = hang time</p>
4
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Symmetric trajectory

When a projectile is launched and lands at the ground level, vertical displacement is 0. This means that the maximum height of the projectile is half of its trajectory.

5
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Formula for time at halfway point of a projectile with symmetric trajectory

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Impact velocity

Impact velocity refers to the velocity of the projectile before the ground exerts a force on it to stop it (or cause it to bounce). The impact velocity is therefore not zero but can be calculated (as can any velocity after launch) from its components.

<p><span><span>Impact velocity refers to the velocity of the projectile </span><strong><span>before</span></strong><span> the ground exerts a force on it to stop it (or cause it to bounce). The impact velocity is therefore not zero but can be calculated (as can any velocity after launch) from its components.</span></span></p>