You are shooting a ball out of a cannon into a bucket that is 3.25-m away. What angle should the cannon be pointed knowing that acceleration(due to gravity) is -9.8m/s^2, the cannon height is 1.8m, the bucket height is .26m and the flight time is .49s?
you just have to use equations of motion to solve this problem
consider the above diagram i've drawn about the situation.
i have taken the angle of the canon as
since the initial velocity is not given, i will take it as
the cannon ball is
once you've figured this out, you just have to apply these data into the equations of motion.
considering the horizontal motion of the above scenario, i can write
for the vertical motion
this is it. from here it's just the calculations you have to do..
solve the above expression for
you will get an answer for