Derive the formula for Lateral Displacement and Vertical Displacement...
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Finding Lateral Displacement
When light passes from air into glass and back into air, the light refracts twice. If the two refracting surfaces are parallel, the emerging refracted ray is parallel to the incident ray, just shifted over to the side. This shift is called lateral displacement (L.D.).
Finding Lateral Displacement
1. Draw the incident ray straight through as if it did not refract.
2. Construct a normal at the incident side and measure angle i.
diagram 1 of finding lateral displacement
3. Use n1sinq1 = n2sinq2 to determine the angle of refraction.
4. Construct the angle of refraction and the refracted ray.
diagram 2 of finding lateral displacement
5. Construct normal #2 where the refracted ray meets the 2nd side.
6. The original incident angle will be the same as the angle made by emerging ray back into the air (<i =<R2).
7. Construct the emerging angle (<R2), measured from normal #2 and draw the emerging refracted ray.
diagram 3 of finding lateral displacement
Vertical Displacement
To calculate the vertical displacement all you need is the vertical take-off velocity. There are several ways to do this. The easiest is to first calculate the time it took to get from take-off to the top of the jump. This is commonly referred to as time-up
When light passes from air into glass and back into air, the light refracts twice. If the two refracting surfaces are parallel, the emerging refracted ray is parallel to the incident ray, just shifted over to the side. This shift is called lateral displacement (L.D.).
Finding Lateral Displacement
1. Draw the incident ray straight through as if it did not refract.
2. Construct a normal at the incident side and measure angle i.
diagram 1 of finding lateral displacement
3. Use n1sinq1 = n2sinq2 to determine the angle of refraction.
4. Construct the angle of refraction and the refracted ray.
diagram 2 of finding lateral displacement
5. Construct normal #2 where the refracted ray meets the 2nd side.
6. The original incident angle will be the same as the angle made by emerging ray back into the air (<i =<R2).
7. Construct the emerging angle (<R2), measured from normal #2 and draw the emerging refracted ray.
diagram 3 of finding lateral displacement
Vertical Displacement
To calculate the vertical displacement all you need is the vertical take-off velocity. There are several ways to do this. The easiest is to first calculate the time it took to get from take-off to the top of the jump. This is commonly referred to as time-up
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