Acatapult is tested by roman legionnaires. they tabulate the results in a papyrus and 2000 years later the archaeological team reads (distances translated into modern units): range = 0.3 km; angle of launch = π/6 rad; landing height = launch height. what is the initial velocity of launch of the boulders if air resistance is negligible?

   v₀ = 50.46 m / s

Explanation:

This is a projectile launch exercise where the scope is given by

         R = v₀² sin 2 θ / g

Let's clear the initial speed

        v₀ = √(G R / sin 2θ )

Let's reduce the distance

         R = 0.3 km (1000m / 1km)

         R = 300 m

Let's calculate

          v₀ = √ (9.8 300 / sin2 π / 6)

Let's calculate the breast in radians

        sin π / 3 = 0.8660

       v₀ = √ (2546.11)

       v₀ = 50.46 m / s

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.