We have a mini catapult that fires balls at a velocity of 5 m/s. It is placed 1 meter above the ground and pointed at an angle towards the positive x-axis. What angle(s) do we need to set it to in order to hit a target on the ground at x=2.7 meters?
In other words:
(assuming the catapult is standing in the origin)
My thinking so far
First express the velocity in the x-direction and y-direction separately:
Then find a way to express t in terms of the angle and the positions:
Use what I now have to write y as a function of theta:
Since I know x, y and v, I should now be able to solve for theta.
Have I set this up correctly? Is there maybe an easier way to calculate the angle? And finally, if this is the best way to find it, how the hell do I solve for theta??