Question

Two bodies x and y are projected on the same horrizontal plane,with the same initial speed but at angles 30 &60 resepectively to the horrizontal.
neglecting air resistance,the ratio or the range of x to that of y is?

Answer 1

for x at speed s and 30 degrees up
Vi = s sin 30 = .5 s
v = Vi - g h
h = Vi t - .5 g t^2 = t (Vi-.5 g t)
h = 0 when t = 0 and when t = 2 * Vi/g = time in air = s/g
U = s cos 30 = .866 s
range = u t = .866 s * s/g = .866 s^2/g
do the same for the 60 degrees
note sin * cos in both :)