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Physics

Projectile motion

Flight with air drag: the parabola is only the beginning.

Projectile motion — Actual application image
Actual application image

What happens

The textbook parabola meets the air: drag bends the trajectory, shaves the range and drops the best launch angle below 45 degrees. The fan mode launches a spread of angles at once, so the whole family of paths hangs in the sky; compare the measured range with the vacuum prediction in the info line.

Equations used in the module
Equations
c = 0, y₀ = 0:
x = v₀ cos α t; y = v₀ sin α t − ½gt²
R = v₀² sin(2α)/g
m dv/dt = mg − c |v−w|(v−w)

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Energy park — Actual application image

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Energy conservation on a track: kinetic ↔ potential ↔ heat.

Rolling race — Actual application image

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A hoop, a shell, a cylinder and a ball race down one incline. The order is fixed by where the inertia sits, not by mass or size.

Charge on conductors — Actual application image

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