Originally posted by speersy
anyway it will do wonders for your confidence and problem solving skills if you perservere and do it yourself.
quite true.. =) but we figure the question's been put up and we should answer it...
in y-direction (origin is at cliff level, positive direction upwards).
s = ut + (1/2)at^2
-50 = 60sin45 x t + (1/2) x (-9.8) x t^2
(rearranging)
(4.9)t^2 - (60sin45)t - 50 = 0
you have a quadratic in t, which u can sove.
(you wil end up with two values; reject one since t cannot be negative)
when you have your value for t, sub in
in x-direction (origin at cannon, positive direction to right)
s = ut
range = 60cos45 x t
thus u have ur range.
nb: on ur diagram, it always helps to LABEL AXES (which way is positive?) and LABEL THE ORIGIN.