Tower Attack
Overview
| Difficulty | Proficient (2/4) |
| Topics | Kinematics, 2D Motion, Constant Acceleration |
A cannon must hit a tower located at a specific distance \(d\) on the same horizontal level. The cannon fires a projectile with a fixed initial speed \(v_0\).
Calculate and set the correct launch angle \(\theta\) so the projectile hits the target.
If the angle is incorrect, the projectile will either fall short or overshoot the tower.
Relevant Equations
\[x(t) = x_0+v_{0x}t\]
\[v_y(t) = v_{0y} + a_y t\]
\[v_{0x} = v_0\cos\theta\]
\[v_{0y} = v_0\sin\theta\]
\[2\sin\theta\cos\theta = \sin2\theta\]
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