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The predictions of classical physics suggested an exponential increase of energy as the wavelength approached zero. experimental results did not support this, it is know as the UV catastrophe. Planck developed the quantum theory as to explain these results. He suggested that energy, ie the...

t0=1 v=0.95c tv= 1/(1-(0.95)^2)^0.5 = 3.2hrs

tangential velocity :) yeah so superconductors are able to carry current with no resistance. Applications where this is useful include in particle accelerators/cyclotrons where they are used to make super strong magnets to bend accelerated particles, and also in MRI magnets, and of course...

you can calculate to the top of the parabola, then calculate the second bit to the ground using the horizontal velocity at that point.