Final answer:
To calculate the magnitude of the acceleration of the hockey puck, decompose the initial and final velocities into components, find their changes, and use these with the time interval to find the magnitude of the acceleration vector.
Step-by-step explanation:
The question involves calculating the magnitude of the acceleration experienced by a hockey puck that changes velocity due to the action of a hockey stick. To determine the acceleration, we need to use the formula for acceleration, which is a = Δv / Δt, where Δv is the change in velocity and Δt is the change in time. The puck's initial velocity is broken into components: Vxi = 2.35 m/s × cos(-22.0°) and Vyi = 2.35 m/s × sin(-22.0°). The final velocity components are Vxf = 6.2 m/s × cos(50.9°) and Vyf = 6.2 m/s × sin(50.9°). The change in each component is ΔVx = Vxf - Vxi and ΔVy = Vyf - Vyi. We then find the magnitude of the change in velocity using vector addition Δv = √(ΔVx² + ΔVy²). Finally, we can calculate the magnitude of the acceleration with a = Δv / 0.0215 s.