Kinematics Castle: Cannon Command

horizontal velocity v_xvertical velocity v_ypath

Launch speed v (m/s)

Launch angle θ (°)

PREDICT landing x (m):

How this connects to AP Physics 1 (Topic 1.5, Vectors and Motion in Two Dimensions): the horizontal and vertical motions are independent. Horizontal velocity stays constant (v_x = v cosθ), while the vertical velocity changes at g (v_y = v sinθ − gt). Split the launch velocity into components, find the time from the vertical motion, then use it in the horizontal motion.