Question

Galileo, in his book TWO NEW SCIENCE,stated that for elevations which exceeds or fall short of 45 by equal amounts, the ranges are equal .prove this statement​

Answer 1

For a projectile launched with velocity

at an angle

, the range is given by <br>

<br> Now, for angles,

,

is

and

, respectively. The value of

and

are the same, equal to that of

. Therefore, ranges are equal for elavations which exceed or fall short of

by equal amounts

.