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If a particle is thrown horizontally at ...

If a particle is thrown horizontally at a speed of `3 xx 10^8 ms^(-1)` deduce the vertical fall in traveling 1 km distance. Given : `g = 10 ms^(-2) ` . Does that result depend upon the mass of the particle? Comment on your result, considering that Newton thought light is made up of corpuscles that at a very large speed by the source.

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If y be the vertical fall in time t, then
` y = 1/2 "gt"^2 = 1/2 xx 10 ( (1)/( 3xx 10^5))^2 m = 5.5 xx 10^11 m`
This result is independent of the mass of the particle. As it is clear from the above result, the downward distance covered by the corpuscle is only `5.5 xx 10^(-11)`m for 103 m of horizontal distance covered by the corpuscle. So, we can neglect the effect of earth's gravitation and safely assume that the corpuscles travels along a straight line.
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