Kinematics Castle: Catch the Cop

speeder (constant velocity)you (constant acceleration from rest)

Your acceleration a (m/s²)

Speeder's speed (m/s)

Speeder's head start (m)

PREDICT

How this connects to AP Physics 1 (Topic 1.2, Displacement, Velocity, and Acceleration): when two objects meet, they have the same position at the same time. Write each position as a function of time (x = ½at² for you, x = d₀ + vt for the speeder) and set them equal. On the position-time graph, the catch is where the two curves cross.