Question

Prove: for an elevation which exceed or fall short of 45 degree by equal amounts,the ranges are equal?

Answer 1

Let the angles are (45+x) and (45-x) R=(u2sin2y)/g. thus for equal velocities.R is propotional to sin2y now y1=45+x and y2=45-x. thus sin2y1=sin(90+2x). And sin2y2=sin(90-2x).Also, sin(90+z)=sin(90-z) (according to trigonometry). Thus sin(90+2x)=sin(90-2x). Both R will be same

Answer 2

Answer:

above answer is correct